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The developing structure of dynamical systems

H. P. Fang
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Abstract

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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H. P. Fang. 1995-09-18. The developing structure of dynamical systems. https://arxiv.org/abs/comp-gas/9509004

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