A Soliton as an Attractor of a Driven Damped Nonlinear Schrödinger Equation
Recent studies have shown that some driven damped soliton systems have a chaotic soliton exhibiting coherent spatial structure and temporal chaos . These studies indicate that a low dimensional chaotic attractor corresponding to a chaotic soliton is embedded in such driven damped soliton systems. When forcing and damping effects are small enough and a forcing field consists of two oscillating components, a soliton of the nonlinear Schrödinger equation has been shown to become a chaotic attractor described by a couple of ordinary differential equations (obtained by means of the first order perturbation theory) .
KeywordsChaotic Attractor Periodic Cycle Chaotic Region Point Attractor Order Perturbation Theory
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