2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147443In 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"Cellular Automata and Lattice Gasestext