On grazing and strange attractors fragmentation in non-smooth dynamical systems

✍ Scribed by Albert C.J. Luo

• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 360 KB
• Volume: 11
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2005.01.012

✦ Synopsis

This paper presents some new ideas to understand the strange attractor fragmentation caused by grazing in non-smooth dynamic systems. The sufficient and necessary conditions for grazing bifurcations in nonsmooth dynamic systems are presented. The initial sets of grazing mapping are introduced and the corresponding initial grazing manifolds are discussed. The grazing-induced fragmentation of strange attractors of chaotic motions in non-smooth dynamical systems is presented. The mathematical theory for such a fragmentation of strange attractors should be further developed.