摘要
解析导出了描述一种电子张弛振子的分段光滑圆映象在参数空间超临界区域内显示几种不同动力学行为的子区域分界线.这些子区域分别是:允许倍周期分岔发生的区域,禁止倍周期分岔发生的区域,以及完全锁相区域.
In this paper we present the analytic expressions of partition lines in the parametric space of a piece\|wise smooth mapping describing an electronic relaxation oscillator. The supercritical regions with permission of period\|doubling bifurcation, prohibition of period\|doubling bifurcation, and complete phase\|locking are discussed. Among them the region, where period\|doubling bifurcation is prohibited but chaos is permitted is reported for the first time to our knowledge. These kinds of phenomena and regions can be observed in a lot of similar systems.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
1999年第12期2162-2168,共7页
Acta Physica Sinica
基金
国家自然科学基金