Stable chaos

Details Stable chaos Stable chaos

2009-02-15

arxiv.org/abs/0902.2545v1

Nonlinear Dynamics and Chaos: Advances and Perspectives Eds. (Springer Verlag, 2010, Heidelberg) pages 103-129

Nonlinear Sciences

Chaotic Dynamics

Review on Stable Chaos - 29 pages - 19 Figures

Scientific paper

10.1007/978-3-642-04629-2

Stable chaos is a generalization of the chaotic behaviour exhibited by cellular automata to continuous-variable systems and it owes its name to an underlying irregular and yet linearly stable dynamics. In this review we discuss analogies and differences with the usual deterministic chaos and introduce several tools for its characterization. Some examples of transitions from ordered behavior to stable chaos are also analyzed to further clarify the underlying dynamical properties. Finally, two models are specifically discussed: the diatomic hard-point gas chain and a network of globally coupled neurons.

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