The developing structure of dynamical systems
comp-gas
2008-02-03 v2 Cellular Automata and Lattice Gases
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.
Cite
@article{arxiv.comp-gas/9509004,
title = {The developing structure of dynamical systems},
author = {H. P. Fang},
journal= {arXiv preprint arXiv:comp-gas/9509004},
year = {2008}
}
Comments
6 pages, submitted to Phys. Rev. Lett., Figures can be obtained from the Author. email address from Nov. 26, 1995: [email protected] with a subject "to FANG"