Pulses, Fronts and Chaotic Wave Trains in a One-Dimensional Chua's Lattice-Reference-Cited by-同舟云学术

Pulses, Fronts and Chaotic Wave Trains in a One-Dimensional Chua's Lattice

Published:1997-08 Issue:08 Volume:07 Page:1775-1790
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Kazantsev V. B.¹,Nekorkin V. I.¹,Velarde M. G.²

Affiliation:

1. The Nizhny Novgorod State University, 23 Gagarin Ave., 603600 Nizhny Novgorod, Russia

2. Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, No; 1, Madrid 28 040, Spain

Abstract

We show how wave motions propagate in a nonequilibrium discrete medium modeled by a one-dimensional array of diffusively coupled Chua's circuits. The problem of the existence of the stationary wave solutions is reduced to the analysis of bounded trajectories of a fourth-order system of nonlinear ODEs. Then, we study the homoclinic and heteroclinic bifurcations of the ODEs system. The lattice can sustain the propagation of solitary pulses, wave fronts and complex wave trains with periodic or chaotic profile.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127497001369

Reference19 articles.

1. SPATIAL DISORDER AND WAVE FRONTS IN A CHAIN OF COUPLED CHUA'S CIRCUITS

2. SOLITARY WAVES, SOLITON BOUND STATES AND CHAOS IN A DISSIPATIVE KORTEWEG-DE VRIES EQUATION

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