Showing papers in "Physica D: Nonlinear Phenomena in 2014"

TL;DR: A measure called causation entropy is developed and it is shown that its application can lead to reliable identification of true couplings.

TL;DR: This work reviews methodologies for inferring networks from empirical time series and for a characterization of these evolving networks and summarizes recent findings derived from studies that investigate human epileptic brain networks evolving on timescales ranging from few seconds to weeks.

TL;DR: In this paper, the authors studied the asymptotic behavior of solutions to a class of non-autonomous stochastic lattice systems driven by multiplicative white noise, and established the upper semicontinuity of random attractors as the intensity of noise approaches zero.

TL;DR: In this paper, a general theory of transport barriers for three-dimensional unsteady flows with arbitrary time-dependence is developed, where barriers are obtained as two-dimensional Lagrangian Coherent Structures (LCSs) that create locally maximal deformation.

TL;DR: This work performs a detailed analysis that identifies the emergence of specific correlations as the reason for the failure of established approaches, before presenting a simple approximation scheme that works best in the parameter range where all other approaches fail.

TL;DR: In this article, a variational principle that extends the notion of a shearless transport barrier from steady to general unsteady two-dimensional flows and maps defined over a finite time interval was developed.

TL;DR: In this article, the authors studied the macroscopic dynamics of a large heterogeneous network of theta neurons in which the neurons' excitability parameter varies in time, and demonstrated that such periodic variation can lead to the emergence of macro-scopic chaos, multistability, and final-state uncertainty in the collective behavior of the network.

TL;DR: In this article, the authors proposed a method to solve the problem of underwater propulsion using a ship's propulsion system, and applied to the Massachusetts Institute of Technology (Naval Engineering Education Center (NEEC), Grant 3002883706)

TL;DR: In this paper, the authors generalize Filippov's method to nonlinear sliding modes and show that the nonlinear terms persist in more precise models, for example when the discontinuity is smoothed out.

TL;DR: It is demonstrated how persistent homology can be used to compare the force distributions in different systems, and the differences between the properties of digital, position, and interaction force networks are discussed.

TL;DR: Two complementary approaches for studying q -twisted states in the coupled oscillator model on SW graphs are developed: linear stability analysis and numerical continuation, which show that long-range random connections in the SW graphs promote synchronization and yields the estimate of the synchronization rate as a function of the SW randomization parameter.

TL;DR: This paper investigates a quantity called conditional entropy of ordinal patterns, akin to the permutation entropy, which provides a good estimation of the Kolmogorov–Sinai entropy in many cases.

TL;DR: In this paper, the equations governing optical solitary waves in nonlinear nematic liquid crystals were investigated in both ( 1 + 1 ) and ( 2+ 1 ) dimensions and an isolated exact, exact, radially symmetric solitary wave solution was found in ( 2 + 1 ), where the exact solutions were used to elucidate what is meant by a nonlinear liquid crystal to have a nonlocal response.

TL;DR: In this paper, the authors analyze the complex macroscopic behavior arising when the coupling between oscillators is allowed to evolve slowly as a function of either macro-scopic or local system properties.

TL;DR: In this article, the collective behaviors of coupled systems of differential equations defined on an interaction network are investigated and it is shown that solutions on a strongly connected component of the network will synchronize.

TL;DR: In this paper, anomalous spreading in a system of coupled Fisher-KPP equations is studied, where one component of the system spreads at a speed significantly faster in the coupled system than it does in isolation, while the speed of the second component remains unchanged.

TL;DR: An analytically tractable adaptive dynamic network model of collective migration with fast timescale migration dynamics and slow timescale adaptive dynamics of individual leadership investment and social interaction and can be extended to study the dynamics of collective tracking or collective learning more generally.

TL;DR: In this article, an asymptotic equation of motion for the unit axial vector along the particle symmetry axis, valid for small Stokes number St, and for any axisymmetric particle in any steady linear viscous flow was derived.

TL;DR: In this paper, a theory for the collective phase description of globally coupled noisy limit-cycle oscillators exhibiting macroscopic rhythms is formulated and analyzed using a two-step phase reduction.

TL;DR: In this article, the authors studied synchronization in a Kuramoto model of globally coupled phase oscillators with a bi-harmonic coupling function, in the thermodynamic limit of large populations.

TL;DR: In this paper, the authors analyzed bifurcations from stationary stable spots to travelling spots in a planar three-component FitzHugh-Nagumo system that was proposed previously as a phenomenological model of gas-discharge systems.

TL;DR: In this paper, the dynamics of the local kinetic energy spectrum of an elastic plate vibrating in a wave turbulence regime is investigated with a finite difference, energy-conserving scheme.

TL;DR: Cincotta et al. as discussed by the authors, Pablo Miguel, Cincotta, Pablo Miguel. Facultad de Ciencias Astronomicas and Geofisicas. Universidad Nacional de La Plata.

TL;DR: In this paper, a two parameter family of vector fields on the three-dimensional sphere S 3, whose flow has a spiralling attractor containing the following: two hyperbolic equilibria, heteroclinic trajectories connecting them transversely and a non-trivial, invariant and transitive set.

TL;DR: Aizerman-Pyatnitskii (AP) extension of the piecewise-linear (PWL) model has been proposed in this article, where the authors present a method for the numerical analysis of one proposed extension by reformulating the PWL models as a mixed complementarity system.

TL;DR: In this article, the authors propose novel regularized governing equations whose solutions remain finite at touchdown and exhibit additional dynamics beyond this initial event before eventually relaxing to new stable equilibria.

TL;DR: In this paper, the effects of perturbations on the bifurcation diagrams of localized spatially oscillatory structures are investigated. But the results are restricted to a single-dimensional cubic-quintic Swift-Hohenberg model and are not applicable to planar systems.

TL;DR: In this paper, a physical limit of entrainability of nonlinear oscillators is considered for an external weak signal (forcing), which is characterized by the optimization problem of maximizing the width of the Arnold tongue under certain practical constraints.

TL;DR: In this paper, the authors studied the existence, stability, regularity, and radial symmetry of energy minimizing soliton solutions in R 2, and gave theoretical lower bounds for the L 2 -norm (power) of these solitons.