The developing structure of dynamical systems
Abstract
Description
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.
6 pages, submitted to Phys. Rev. Lett., Figures can be obtained from the Author. email address from Nov. 26, 1995: zlin@fudan.ihep.ac.cn with a subject "to FANG"
6 pages, submitted to Phys. Rev. Lett., Figures can be obtained from the Author. email address from Nov. 26, 1995: zlin@fudan.ihep.ac.cn with a subject "to FANG"