ERROR PROPAGATION IN EXTENDED CHAOTIC SYSTEMS

Details ERROR PROPAGATION IN EXTENDED CHAOTIC SYSTEMS ERROR PROPAGATION IN EXTENDED CHAOTIC SYSTEMS

1995-05-02

arxiv.org/abs/chao-dyn/9504016v1

Nonlinear Sciences

Chaotic Dynamics

Tex file without figures- Figures and text in post-script available via anonymous ftp at ftp://wpts0.physik.uni-wuppertal.de/p

Scientific paper

10.1088/0305-4470/28/16/011

A strong analogy is found between the evolution of localized disturbances in extended chaotic systems and the propagation of fronts separating different phases. A condition for the evolution to be controlled by nonlinear mechanisms is derived on the basis of this relationship. An approximate expression for the nonlinear velocity is also determined by extending the concept of Lyapunov exponent to growth rate of finite perturbations.

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