We show that the long-established concept of a linewidth-enhancement factor $\alpha$ to describe carrier-induced refractive index changes in semiconductor lasers breaks down in quantum-dot (QD) lasers when describing complex dynamic scenarios, found, for example, under high-excitation or optical injection.…

[Phys. Rev. E 86, 065201(R)] Published Wed Dec 26, 2012

A quantized chaotic map exhibiting localization of wave function intensity is opened. We investigate how such patterns as scars in the Husimi distributions are influenced by the losses through a number of numerical experiments. We find the scars to relocate on the stable or unstable manifolds depend…

[Phys. Rev. E 86, 066213] Published Fri Dec 21, 2012

We develop an approach to understanding long chaotic transients in networks of excitatory pulse-coupled oscillators. Our idea is to identify a class of attractors, sequentially active firing (SAF) attractors, in terms of the temporal event structure of firing and receipt of pulses. Then all attracto…

[Phys. Rev. E 86, 066214] Published Fri Dec 21, 2012

We propose a formal expansion of the transfer entropy to put in evidence irreducible sets of variables which provide information for the future state of each assigned target. Multiplets characterized by a large contribution to the expansion are associated to the informational circuits present in the…

[Phys. Rev. E 86, 066211] Published Thu Dec 20, 2012

We describe an approach to quantify the length scale of a chaotic element of a Rayleigh-Bénard convection layer exhibiting spatiotemporal chaos. The length scale of a chaotic element is determined by simultaneously evolving the dynamics of two convection layers with a unidirectional coupling that in…

[Phys. Rev. E 86, 066212] Published Thu Dec 20, 2012

We study theoretically the generation of a continuous-wave signal by two weakly coupled delay-line oscillators. In such oscillators, the cavity length is longer than the wavelength of the signal. We show by using an analytical solution and comprehensive numerical simulations that in delay-line oscil…

[Phys. Rev. E 86, 066209] Published Wed Dec 19, 2012

Front propagation in heterogeneous bistable media is studied using the Schlögl model as a representative example. Spatially periodic modulations in the parameters of the bistable kinetics are taken into account perturbatively. Depending on the ratio $L/l$ ($L$ is the spatial period of the heterogeneity,…

[Phys. Rev. E 86, 066210] Published Wed Dec 19, 2012

In three-dimensional excitable systems scroll waves may lose their originally straight shape through different instabilities. In experiments, the formation of zigzag-shaped or helical filaments is often observed. Such a deformation may be due to either a twist-induced instability or a 3D meandering …

[Phys. Rev. E 86, 066208] Published Mon Dec 17, 2012

We investigate the mechanism of generation of phase-locked cluster patterns in a globally coupled FitzhHugh-Nagumo model where the fast variable (activator) receives global feedback from the slow variable (inhibitor). We identify three qualitatively different mechanisms (swing-and-release, hold-and-…

[Phys. Rev. E 86, 066207] Published Fri Dec 14, 2012

We investigate changes in several features of the stability diagram of an optically injected single mode laser as the ratio of the photon lifetime to the carrier lifetime is progressively increased from very low values to very high values. In particular we consider the creation of a region of phase-…

[Phys. Rev. E 86, 066206] Published Fri Dec 07, 2012

It is known that many-fermion systems, such as complex atoms and nuclei, reveal (at some level of excitation energy) local signatures of quantum chaos similar to the predictions of random matrix theory. Here, we study the gradual development of such signatures in a model system of up to 16 fermions …

[Phys. Rev. E 86, 066204] Published Wed Dec 05, 2012

We present microwave experiments on the symmetry reduced five-disk billiard studying the transition from a closed to an open system. The measured microwave reflection signal is analyzed by means of the harmonic inversion and the counting function of the resulting resonances is studied. For the close…

[Phys. Rev. E 86, 066205] Published Wed Dec 05, 2012

We study the problem of master-slave synchronization and control of totalistic cellular automata. The synchronization mechanism is that of setting a fraction of sites of the slave system equal to those of the master one (pinching synchronization). The synchronization observable is the distance betwe…

[Phys. Rev. E 86, 066201] Published Tue Dec 04, 2012

Consistency of response in a system driven repeatedly by a complex signal has been observed in many nonlinear dynamical systems. We investigate the consistency of unidirectionally coupled semiconductor lasers with optical feedback and measure the complexity of the entire laser system by using the Ly…

[Phys. Rev. E 86, 066202] Published Tue Dec 04, 2012

Semiclassical results are usually expected to be valid in the semiclassical regime. An interesting question is, in models in which appropriate effective Planck constants can be introduced, to what extent will a semiclassical prediction stay valid when the effective Planck constant is increased? In t…

[Phys. Rev. E 86, 066203] Published Tue Dec 04, 2012

Time-delayed systems are known to exhibit symmetric square waves oscillating with a period close to twice the delay. Here, we show that strongly asymmetric square waves of a period close to one delay are possible. The plateau lengths can be tuned by changing a control parameter. The problem is inves…

[Phys. Rev. E 86, 055201(R)] Published Thu Nov 29, 2012

The formation of the spiral patterns in dielectric-barrier discharge is investigated through instantaneous pictures at successive driving half cycles taken by an intensified-charge coupled device (ICCD). The filaments discretely distributed in each instantaneous picture corresponding to one discharg…

[Phys. Rev. E 86, 056217] Published Thu Nov 29, 2012

We analyze the dynamics of a model of a nanobeam under compression. The model is a two-mode truncation of the Euler-Bernoulli beam equation subject to compressive stress applied at both ends. We consider parameter regimes where the first mode is unstable and the second mode can be either stable or u…

[Phys. Rev. E 86, 056218] Published Thu Nov 29, 2012

In our recent Letter [Phys. Rev. Lett. 107, 274101 (2011)], we demonstrated that slow random perturbations of a system parameter were responsible for the emergence of rogue waves in a fiber laser with coexisting attractors. In this paper we investigate how the probability of a particular state to ap…

[Phys. Rev. E 86, 056219] Published Thu Nov 29, 2012

The Galton board is a classic example of the appearance of randomness and stochasticity. In the dynamical model of the Galton board, the macroscopic motion is governed by deterministic equations of motion, and predictability depends on uncertainty in the initial conditions and its evolution by the d…

[Phys. Rev. E 86, 056216] Published Tue Nov 27, 2012

We study synchronization in an ensemble of oscillators residing in a finite two-dimensional space. The interaction between the oscillators is governed by their spatial movement. The coupling is unidirectional and is of the intermediate kind, with the spatial vision of each oscillator deciding the nu…

[Phys. Rev. E 86, 056213] Published Mon Nov 26, 2012

In nonlinear disordered Hamiltonian lattices, where there are no propagating phonons, the spreading of energy is of subdiffusive nature. Recently, the universality class of the subdiffusive spreading according to the nonlinear diffusion equation (NDE) has been suggested and checked for one-dimension…

[Phys. Rev. E 86, 056214] Published Mon Nov 26, 2012

We study a version of the mathematical Ruijsenaars-Schneider model and reinterpret it physically in order to describe the spreading with time of quantum wave packets in a system where multifractality can be tuned by varying a parameter. We compare different methods to measure the multifractality of …

[Phys. Rev. E 86, 056215] Published Mon Nov 26, 2012

Recent numerical experiments of Pecora et al. [Phys. Rev. E 83, 065201 (2011)] have investigated tunneling between two-dimensional symmetric double wells separated by a tunneling barrier. The wells were bounded by hard walls and by the potential barrier which was created by a step increase from the …

[Phys. Rev. E 86, 056212] Published Wed Nov 21, 2012

The Feshbach projection formalism is applied to consider quantum transmission through a tight-binding wire subject to a time-periodic potential. The wire is coupled with two leads via the coupling constant $v_C$. The periodicity of the potential implies an additional temporal dimension that reduces the…

[Phys. Rev. E 86, 056211] Published Tue Nov 20, 2012

We demonstrate how the area of the enveloping surface of the scattering singularities in a three-degrees-of-freedom (3-dof) system depends on a perturbation parameter controlling the distance from a reducible case. This dependence is monotonic and approximately linear. Therefore it serves as a measu…

[Phys. Rev. E 86, 056210] Published Fri Nov 16, 2012

We investigated scroll waves in an inhomogeneous excitable 3D system with gradient of excitability. The gradient promotes twisting of the scroll waves. Sufficiently large excitability gradient enhances the twisting and causes simple scroll waves to transition to meandering scroll waves. For the twis…

[Phys. Rev. E 86, 056209] Published Wed Nov 14, 2012

In multidimensional barrier tunneling, there exist two different types of tunneling mechanisms, instanton-type tunneling and noninstanton tunneling. In this paper we investigate transitions between the two tunneling mechanisms from the semiclassical and quantum viewpoints taking two simple models: a…

[Phys. Rev. E 86, 056206] Published Tue Nov 13, 2012

We demonstrate an analytical method for calculating the phase sensitivity of a class of oscillators whose phase does not affect the time evolution of the other dynamic variables. We show that such oscillators possess the possibility for complete phase noise elimination. We apply the method to a feed…

[Phys. Rev. E 86, 056207] Published Tue Nov 13, 2012

We investigate the possibility of projecting low-dimensional chaos from spatiotemporal dynamics of a model for a kind of plastic instability observed under constant strain rate deformation conditions. We first discuss the relationship between the spatiotemporal patterns of the model reflected in the…

[Phys. Rev. E 86, 056208] Published Tue Nov 13, 2012

We consider the problem of the control of transport in higher-dimensional periodic structures by applied ac fields. In a generic crystal, transverse degrees of freedom are coupled, and this makes the control of motion difficult to implement. We show, both with simulations and with an analytical func…

[Phys. Rev. E 86, 056201] Published Mon Nov 05, 2012

We study the effects of discrete, randomly distributed time delays on the dynamics of a coupled system of self-propelling particles. Bifurcation analysis on a mean field approximation of the system reveals that the system possesses patterns with certain universal characteristics that depend on disti…

[Phys. Rev. E 86, 056202] Published Mon Nov 05, 2012

Reaction-diffusion systems may lead to the formation of steady-state heterogeneous spatial patterns, known as Turing patterns. Their mathematical formulation is important for the study of pattern formation in general and plays central roles in many fields of biology, such as ecology and morphogenesi…

[Phys. Rev. E 86, 056203] Published Mon Nov 05, 2012

Mixtures of materials that move relative to each other arise in a variety of applications, especially in biophysical problems where the mixture consists of materials with different material properties. The variety of applications leads to a bewildering array of multiphase models, each with slightly …

[Phys. Rev. E 86, 056204] Published Mon Nov 05, 2012

We studied transitions between spatiotemporal patterns that can be induced in a spatially extended nonlinear chemical system by a unidirectional flow in combination with constant inflow concentrations. Three different scenarios were investigated. (i) Under conditions where the system exhibited two s…

[Phys. Rev. E 86, 056205] Published Mon Nov 05, 2012

A spectral element approach is introduced to determine the Floquet exponents (FEs) of unstable periodic orbits (UPOs) stabilized by extended delayed feedback control (EDFC). The spectral approach does not require solving time-dependent eigenproblems that existing methods require. Instead, the spectr…

[Phys. Rev. E 86, 046214] Published Wed Oct 31, 2012

We report on several improvements of the classical time-delayed feedback control method for stabilization of unstable periodic orbits or steady states. In an electronic circuit experiment, we were able to realize time-varying and distributed delays in the control force leading to successful control …

[Phys. Rev. E 86, 046213] Published Wed Oct 24, 2012

We analyze the Kuramoto model generalized by explicit consideration of deterministically time-varying parameters. The oscillators' natural frequencies and/or couplings are influenced by external forces with constant or distributed strengths. A dynamics of the collective rhythms is observed, consisti…

[Phys. Rev. E 86, 046212] Published Tue Oct 23, 2012

We investigate the effect of a homogeneous high-frequency stimulation (HFS) on a one-dimensional chain of coupled excitable elements governed by the FitzHugh-Nagumo equations. We eliminate the high-frequency term by the method of averaging and show that the averaged dynamics depends on the parameter…

[Phys. Rev. E 86, 046211] Published Thu Oct 18, 2012

Existence and properties of the Shapiro steps in the presence of noise have been studied in the ac driven overdamped Frenkel-Kontorova model with deformable substrate potential. The results have shown that the influence of noise on interference phenomena is determined by the presence and the size of…

[Phys. Rev. E 86, 046209] Published Wed Oct 17, 2012

In this paper we introduce a multiscale symbolic information-theory approach for discriminating nonlinear deterministic and stochastic dynamics from time series associated with complex systems. More precisely, we show that the multiscale complexity-entropy causality plane is a useful representation …

[Phys. Rev. E 86, 046210] Published Wed Oct 17, 2012

We observe standing waves of chemical concentration in thin layers [quasi-two-dimensional (2D)] and capillaries [three-dimensional (3D)] containing the aqueous Belousov-Zhabotinsky reaction in a reverse microemulsion stabilized by the ionic surfactant sodium bis-2-ethylhexyl sulfosuccinate (AOT) and…

[Phys. Rev. E 86, 045202(R)] Published Mon Oct 15, 2012

The fact that the elements in some realistic systems are influenced by each other indirectly through a common environment has stimulated a new surge of studies on the collective behavior of coupled oscillators. Most of the previous studies, however, consider only the case of coupled periodic oscilla…

[Phys. Rev. E 86, 046207] Published Mon Oct 15, 2012

We consider a voltage-biased nanoelectromechanical Josephson junction, where a suspended nanowire forms a superconducting weak link, in an inhomogeneous magnetic field. We show that a nonlinear coupling between the Josephson current and the magnetic field generates a Laplace force that induces a whi…

[Phys. Rev. E 86, 046208] Published Mon Oct 15, 2012

To derive tests for randomness, nonlinear-independence, and stationarity, we combine surrogates with a nonlinear prediction error, a nonlinear interdependence measure, and linear variability measures, respectively. We apply these tests to intracranial electroencephalographic recordings (EEG) from pa…

[Phys. Rev. E 86, 046206] Published Fri Oct 12, 2012

We study the variability of passive scalar diffusion via the statistics of stochastic particle dispersion in a chaotic flow. We find that at intermediate times when the statistics of individual trajectories start to exhibit scaling-law behaviors, scalar variance over the entire domain exhibits multi…

[Phys. Rev. E 86, 045201(R)] Published Thu Oct 11, 2012

Global modeling aims to build mathematical models of concise description. Polynomial Model Search (PoMoS) and Global Modeling (GloMo) are two complementary algorithms (freely downloadable at the following address: http://www.cesbio.ups-tlse.fr/us/pomos_et_glomo.html) designed for the modeling of obs…

[Phys. Rev. E 86, 046205] Published Mon Oct 08, 2012

The flow of electromagnetic wave energy through a chain of coupled cavities is considered. The cavities are assumed to be of sufficiently irregular shape that their eigenmodes are described by random matrix theory. The cavities are coupled by electrically short single mode transmission lines. Approx…

[Phys. Rev. E 86, 046204] Published Fri Oct 05, 2012

We study a reversal process in Stokes flows in the presence of weak diffusion in order to clarify the distinct effects that chaotic flows have on the loss of reversibility relative to nonchaotic flows. In all linear flows, including a representation of the baker's map, we show that the decay of reve…

[Phys. Rev. E 86, 046203] Published Thu Oct 04, 2012

We examine changes in the dynamics of a semiconductor quantum-dot (QD) laser subject to optical feedback that correlate to changes in the QD laser band structure. By employing a microscopic model for the carrier-carrier scattering processes between the QDs and the carrier reservoir we are able to tu…

[Phys. Rev. E 86, 046201] Published Wed Oct 03, 2012

We propose a general framework to study the stability of the subspace spanned by $P$ consecutive eigenvectors of a generic symmetric matrix ${\mathbf{H}}_0$ when a small perturbation is added. This problem is relevant in various contexts, including quantum dissipation (${\mathbf{H}}_0$ is then the Hamiltonian) and financial risk…

[Phys. Rev. E 86, 046202] Published Wed Oct 03, 2012

Motivated by the observation that anomalous diffusion is a realistic feature in the dynamics of biological populations, we investigate its implications in a paradigmatic model for the evolution of a single species density $u(x,t)$. The standard model includes growth and competition in a logistic expre…

[Phys. Rev. E 86, 036215] Published Thu Sep 27, 2012

We introduce a concept of generalized synchronization, able to encompass the setting of collective synchronized behavior for mutually coupled systems and networking systems featuring complex topologies in their connections. The onset of the synchronous regime is confirmed by the dependence of the sy…

[Phys. Rev. E 86, 036216] Published Thu Sep 27, 2012

A method is proposed for determining dynamical and observational noise parameters in state and parameter identification from time series using Kalman filters. The noise covariances are estimated in a secondary optimization by maximizing the predictive likelihood of the data. The approach is based on…

[Phys. Rev. E 86, 036214] Published Wed Sep 26, 2012

We study the dynamics of the classical and quantum mechanical scattering of a wave packet from an oscillating barrier. Our main focus is on the dependence of the transmission coefficient on the initial energy of the wave packet for a wide range of oscillation frequencies. The behavior of the quantum…

[Phys. Rev. E 86, 036213] Published Mon Sep 24, 2012

Parameter space of a driven damped oscillator in a double well potential presents either a chaotic trajectory with sign oscillating amplitude or a nonchaotic trajectory with a fixed sign amplitude. A network of such delay coupled damped oscillators is shown to present chaotic dynamics while the sign…

[Phys. Rev. E 86, 036212] Published Fri Sep 21, 2012

The dynamics of a symmetric network of oscillators that are mutually coupled via multiple dynamical components with mismatched delays is studied. We find that networked oscillators experience oscillation death (OD) over a much larger domain of parameters when their different dynamical components are…

[Phys. Rev. E 86, 036210] Published Thu Sep 20, 2012

Stochastic rotation of rotating pairs in a hexagonal superlattice pattern is observed in a dielectric barrier discharge system. It is found that the pairs rotate with orientation and diameter randomly changing by observing a series of frames recorded by a high speed video camera. Frames recorded by …

[Phys. Rev. E 86, 036211] Published Thu Sep 20, 2012

Dripping water from a faucet is a typical example exhibiting rich nonlinear phenomena. For such a system, the time stamps at which water drops separate from the faucet can be directly observed in real experiments, and the time series of intervals ${\tau }_n$ between drop separations becomes a subject of anal…

[Phys. Rev. E 86, 036209] Published Mon Sep 17, 2012

The role of diffraction is investigated for two-dimensional area-preserving maps with sharply or almost sharply divided phase space, in relation to the issue of dynamical tunneling. The diffraction effect is known to appear in general when the system contains indifferentiable or discontinuous points…

[Phys. Rev. E 86, 036208] Published Thu Sep 13, 2012

The evolution of a line of vehicles on a ring is modeled by means of first-order car-following models. Three generic models describe the speed of a vehicle as a function of the spacing ahead and the speed of the predecessor. The first model is a basic one with no delay. The second is a delayed car-f…

[Phys. Rev. E 86, 036207] Published Wed Sep 12, 2012

In fluids and plasmas with zonal flow reversed shear, a peculiar kind of transport barrier appears in the shearless region, one that is associated with a proper route of transition to chaos. These barriers have been identified in symplectic nontwist maps that model such zonal flows. We use the so-ca…

[Phys. Rev. E 86, 036206] Published Fri Sep 07, 2012

Some phase space transport properties for a conservative bouncer model are studied. The dynamics of the model is described by using a two-dimensional measure preserving mapping for the variables' velocity and time. The system is characterized by a control parameter $\epsilon$ and experiences a transition fro…

[Phys. Rev. E 86, 036203] Published Thu Sep 06, 2012

A small-world (SW) network of similar phase oscillators, interacting according to the Kuramoto model, is studied numerically. It is shown that deterministic Kuramoto dynamics on SW networks has various stable stationary states. This can be attributed to the so-called defect patterns in an SW network…

[Phys. Rev. E 86, 036204] Published Thu Sep 06, 2012

Scroll waves are three-dimensional excitation vortices rotating around one-dimensional phase singularities called filaments. In experiments with a chemical reaction-diffusion system and in numerical simulations, we study the pinning of closed filament loops to inert cylindrical heterogeneities. We s…

[Phys. Rev. E 86, 036205] Published Thu Sep 06, 2012

The dynamics of a disordered nonlinear chain can be either regular or chaotic with a certain probability. The chaotic behavior is often associated with the destruction of Anderson localization by the nonlinearity. In the present work it is argued that at weak nonlinearity chaos is nucleated locally …

[Phys. Rev. E 86, 036202] Published Wed Sep 05, 2012

Nonequilibrium localized states under the influence of translational coupling are studied experimentally and theoretically. We show that localized structures are deformed and advected in the direction of the coupling, thus undergoing different instabilities. Experimentally, localized structures are …

[Phys. Rev. E 86, 036201] Published Tue Sep 04, 2012

A dripping faucet is an example of an everyday system that exhibits surprisingly rich dynamics ranging from periodic to chaotic. Using a simple capacitive device, we experimentally demonstrate that the dynamics is determined by the degree of synchronization between two temporally disparate processes…

[Phys. Rev. E 86, 026209] Published Tue Aug 21, 2012

We show that a large class of pulse-coupled oscillators converge with high probability from random initial conditions on a large class of graphs with time delays. Our analysis combines previous local convergence results, probabilistic network analysis, and a classification scheme for type-II phase r…

[Phys. Rev. E 86, 025201(R)] Published Fri Aug 17, 2012

For a flowing, self-oscillating medium, we study the competition between traveling flow-distributed-oscillation waves excited by periodic driving at the upstream boundary and bulk oscillations originating downstream from the boundary. As previously observed in the case of stationary driving, we find…

[Phys. Rev. E 86, 026208] Published Fri Aug 17, 2012

Catastrophes of all kinds can be roughly defined as short-duration, large-amplitude events following and followed by long periods of “ripening.” Major earthquakes surely belong to the class of “catastrophic” events. Because of the space-time scales involved, an experimental approach is often difficu…

[Phys. Rev. E 86, 026207] Published Thu Aug 16, 2012

The local density of states (LDOS) is a distribution that characterizes the effects of perturbations on quantum systems. Recently, a semiclassical theory was proposed for the LDOS of chaotic billiards and maps. This theory predicts that the LDOS is a Breit-Wigner distribution independent of the pert…

[Phys. Rev. E 86, 026206] Published Wed Aug 15, 2012

It is known that the reconstructed phase portrait of a given system strongly depends on the choice of the observable. In particular, the ability to obtain a global model from a time series strongly depends on the observability provided by the measured variable. Such a dependency results from (i) the…

[Phys. Rev. E 86, 026205] Published Tue Aug 14, 2012

Existing studies on network synchronization focused on complex networks possessing either identical or nonidentical but simple nodal dynamics. We consider networks of both complex topologies and heterogeneous but chaotic oscillators, and investigate the onset of global phase synchronization. Based o…

[Phys. Rev. E 86, 027201] Published Tue Aug 14, 2012

In this work, we employed the concept of the first-passage time in stochastic processes to estimate node degrees and the degree distribution of a network. A statistical exploration of the coupling reveals the relation between the node degree and the coupling term. In practical terms, an effective wa…

[Phys. Rev. E 86, 026203] Published Mon Aug 13, 2012

The delayed feedback control (DFC) methods are noninvasive, which means that the control signal vanishes if the delay time is adjusted to be equal to the period of a target unstable periodic orbit (UPO). If the delay time differs slightly from the UPO period, a nonvanishing periodic control signal i…

[Phys. Rev. E 86, 026204] Published Mon Aug 13, 2012

The construction of the semiclassical trace formula for resonances with transverse electric polarization for two-dimensional dielectric cavities is discussed. Special attention is given to the derivation of the two first terms of Weyl's series for the average number of such resonances. The formulas …

[Phys. Rev. E 86, 026202] Published Fri Aug 10, 2012

We show that a model reaction-diffusion system with two species in a monostable regime and over a large region of parameter space produces Turing patterns coexisting with a limit cycle which cannot be discerned from the linear analysis. As a consequence, the patterns oscillate in time. When varying …

[Phys. Rev. E 86, 026201] Published Wed Aug 08, 2012

Using advanced continuation techniques for dynamical systems, we elucidate the bifurcations leading to asymptotically stable square-wave pulsing and polarization mode switching in semiconductor lasers with mutual time-delayed and polarization rotating coupling. We find that the increase of coupling …

[Phys. Rev. E 86, 016218] Published Mon Jul 30, 2012

We analyze the behavior of a relativistic particle moving under the influence of a uniform magnetic field and a stationary electrostatic wave. We work with a set of pulsed waves that allows us to obtain an exact map for the system. We also use a method of control for near-integrable Hamiltonians tha…

[Phys. Rev. E 86, 016217] Published Mon Jul 23, 2012

In this paper we study how deterministic features presented by a system can be used to perform direct transport in a quasisymmetric potential and weak dissipative system. We show that the presence of nonhyperbolic regions around acceleration areas of the phase space plays an important role in the ac…

[Phys. Rev. E 86, 016216] Published Fri Jul 20, 2012

We propose a method to identify the direction of interactions between the components of a coupled system from observed data. This method tries to identify the direction of coupling for various severe conditions including for nonlinear dynamics, small sample size, weak coupling strength, noisy and mu…

[Phys. Rev. E 86, 016215] Published Wed Jul 18, 2012

We study the Bose-Hubbard model for three sites in a symmetric, triangular configuration and search for quantum signatures of the classical regime of oscillatory instabilities, known to appear through Hamiltonian Hopf bifurcations for the “single-depleted-well” family of stationary states in the dis…

[Phys. Rev. E 86, 016214] Published Tue Jul 17, 2012

Dynamical modeling lies at the heart of our understanding of physical systems. Its role in science is deeper than mere operational forecasting, in that it allows us to evaluate the adequacy of the mathematical structure of our models. Despite the importance of model parameters, there is no general m…

[Phys. Rev. E 86, 016213] Published Mon Jul 16, 2012

We investigate the collective dynamics of bursting neurons on clustered networks. The clustered network model is composed of subnetworks, each of them presenting the so-called small-world property. This model can also be regarded as a network of networks. In each subnetwork a neuron is connected to …

[Phys. Rev. E 86, 016211] Published Fri Jul 13, 2012

We report the nature of transitions from the nonsynchronous to a complete synchronization (CS) state in arrays of time-delay systems, where the systems are coupled with instantaneous diffusive coupling. We demonstrate that the transition to CS occurs distinctly for different coupling configurations.…

[Phys. Rev. E 86, 016212] Published Fri Jul 13, 2012

The study of open quantum billiards has gained popularity in the last decades, including different common and uncommon geometries such as the circular and stadium billiards. We present an extensive analysis of the elliptic quantum billiard with hyperbolic channels. We concentrate on the tunneling th…

[Phys. Rev. E 86, 016210] Published Thu Jul 12, 2012

We study the occurrence of vibrational resonance as well as the underlying mechanism in excitable systems. The single vibration resonance and vibration bi-resonance are observed when tuning the amplitude and frequency of high-frequency force simultaneously. Furthermore, by virtue of the phase diagra…

[Phys. Rev. E 86, 016209] Published Wed Jul 11, 2012

We present numerical evidence that, in the presence of a suitable electric field, an isolated broken plane wave retracting originally in subexcitable media can propagate continuously and eventually evolve into a rotating spiral. Simulations for the FitzHugh-Nagumo, the Barkley, and the Oregonator mo…

[Phys. Rev. E 86, 016208] Published Tue Jul 10, 2012

We investigate the entrainment of a neuron model exhibiting a chaotic spiking-bursting behavior in response to a weak periodic force. This model exhibits two types of oscillations with different characteristic time scales, namely, long and short time scales. Several types of phase synchronization ar…

[Phys. Rev. E 86, 016205] Published Mon Jul 09, 2012

We analyze the dynamics of a classical particle in a spatially periodic potential under the influence of a periodic in time uniform force. It was shown by S. Flach and coworkers [Phys. Rev. Lett. 84, 2358 (2000)] that despite zero average force, directed transport is possible in the system. Asymptot…

[Phys. Rev. E 86, 016206] Published Mon Jul 09, 2012

We study the scattering of waves in systems with losses or gains simulated by imaginary potentials. This is done for a complex delta potential that corresponds to a spatially localized absorption or amplification. In the Argand plane the scattering matrix moves on a circle $C$ centered on the real axi…

[Phys. Rev. E 86, 016207] Published Mon Jul 09, 2012

We develop a coupled nonlinear oscillator model involving magnetization and strain to explain several experimentally observed dynamical features exhibited by forced magnetostrictive ribbon. Here we show that the model recovers the observed period-doubling route to chaos as function of the dc field f…

[Phys. Rev. E 86, 016204] Published Fri Jul 06, 2012

We investigate the stability of synchronized states in delay-coupled networks where synchronization takes place in groups of different local dynamics or in cluster states in networks with identical local dynamics. Using a master stability approach, we find that the master stability function shows a …

[Phys. Rev. E 86, 016202] Published Thu Jul 05, 2012

Networks of chaotic units with static couplings can synchronize to a common chaotic trajectory. The effect of dynamic adaptive couplings on the cooperative behavior of chaotic networks is investigated. The couplings adjust to the activities of its two units by two competing mechanisms: An exponentia…

[Phys. Rev. E 86, 016203] Published Thu Jul 05, 2012

We explore the nonequilibrium dynamics of noninteracting classical particles in a one-dimensional driven superlattice which is composed of domains exposed to different time-dependent forces. It is shown how the combination of directed transport and conversion processes from diffusive to ballistic mo…

[Phys. Rev. E 86, 016201] Published Mon Jul 02, 2012

We develop a general method to detect hidden nodes in complex networks, using only time series from nodes that are accessible to external observation. Our method is based on compressive sensing and we formulate a general framework encompassing continuous- and discrete-time and the evolutionary-game …

[Phys. Rev. E 85, 065201(R)] Published Fri Jun 29, 2012

We study the random concatenation of slightly different two-dimensional Hamiltonian maps with a mixed phase space. We consider a regular island whose fixed point is identical for all maps. Trajectories of the concatenated maps near this fixed point are no longer confined to invariant tori. We derive…

[Phys. Rev. E 85, 066210] Published Thu Jun 28, 2012

A thread of viscous fluid falling onto a moving surface exhibits a spectacular variety of types of motion as the surface speed and nozzle height are varied. For modest nozzle heights, four clear regimes are observed. For large surface speed, the thread is dragged into a stretched centenary configura…

[Phys. Rev. E 85, 066209] Published Tue Jun 26, 2012

When a complex network is slightly desynchronized, a few of the network nodes will be escaping from the uniform synchronization background frequently with a random fashion, leading to the intermittent network synchronization. Here, based on the eigenvectors of the network coupling matrix, we propose…

[Phys. Rev. E 85, 066208] Published Mon Jun 25, 2012