Note on chaos and diffusion

C. P. Dettmann; E. G. D. Cohen

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arXiv · nlin/0011025

Note on chaos and diffusion

C. P. Dettmann·E. G. D. Cohen

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Abstract

Using standard definitions of chaos (as positive Kolmogorov-Sinai entropy) and diffusion (that multiple time distribution functions are Gaussian), we show numerically that both chaotic and nonchaotic systems exhibit diffusion, and hence that there is no direct logical connection between the two properties. This extends a previous result for two time distribution functions.

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C. P. Dettmann, E. G. D. Cohen. 2000-11-14. Note on chaos and diffusion. https://arxiv.org/abs/nlin/0011025

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