The developing structure of dynamical systems

Details The developing structure of dynamical systems The developing structure of dynamical systems

1995-09-17

arxiv.org/abs/comp-gas/9509004v2

Nonlinear Sciences

Cellular Automata and Lattice Gases

6 pages, submitted to Phys. Rev. Lett., Figures can be obtained from the Author. email address from Nov. 26, 1995: zlin@fudan.

Scientific paper

In order to investigate the evolutionary process of many deterministic Dynamical systems with unfixed parameter, a set of dynamical models with parameter changing continuously and the accumulation of this change might be large is introduced and discussed. The boundary crises and the period-doubling bifurcations are found suppressed and scaling properties for these phenomena are exploited. Due to this suppression, the period-doubling bifurcations seem no longer continuous. We further discuss the possible applications of these models.

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