物理学报2013，Vol.62Issue(1)：35-42,8.DOI:10.7498/aps.62.010502
多分界面下四维蔡氏电路的张弛簇发及其机制研究
Relaxation bursting and the mechanism of four-dimensional Chua's circuit with multiple interfaces
摘要
Abstract
Based on the classical Chua's circuit, a four-dimensional Generalized Chua's circuit with multiple interfaces is established by introducing feedback elements. For the appropriate condition, there exists a difference in order of magnitude between the variables of state and a fast-slow coupled system, thereby forming a fast- and slow-coupled system at time scale. Analyzing the equilibrium points and the characteristics of the fast subsystems, and combining the theory of Clarke differential inclusions, the singularities on the non-smooth boundaries are explored. Two types of periodic bursting phenomena for different conditions are presented. Fast-slow analysis is employed to explore the special cluster phenomenon while the system trajectory passes across multiple interfaces. The coexisting different bursting mechanisms for the case with multiple attractors are explored in detail, while the influence of non-smooth bifurcations on bursting behavior is revealed.关键词
非光滑分岔/多分界面/簇发/快慢系统Key words
non-smooth bifurcation/ multiple interfaces/ bursting/ fast-slow system引用本文复制引用
张晓芳,陈小可,毕勤胜..多分界面下四维蔡氏电路的张弛簇发及其机制研究[J].物理学报,2013,62(1):35-42,8.基金项目
国家自然科学基金(批准号:10972091,20976075)和江苏大学高级人才基金(批准号:10JDG144)资助的课题. （批准号:10972091,20976075）
