Torus birth and destruction in an autonomous piecewise-smooth system

Autor:	Zhanybai T. Zhusubaliyev, Evgeniy A. Soukhoterin, Erik Mosekilde
Rok vydání:	2006
Předmět:	Nonlinear Sciences::Chaotic Dynamics Period-doubling bifurcation Quasiperiodic function Piecewise Homoclinic bifurcation Torus Saddle-node bifurcation Bifurcation diagram Topology Bifurcation Mathematics
Zdroj:	Proceedings. 2005 International Conference Physics and Control, 2005..
DOI:	10.1109/phycon.2005.1514022
Popis:	This paper is devoted to investigating the quasiperiodic route to chaos in the four-dimensional piecewise-smooth autonomous model of a control system with hysteresis. We show how the quasiperiodic trajectory may lie on different kinds of two dimensional tori, including single-, double-, and quintuple-turn tori. We also present a detailed analysis of a scenario for the destruction of two-dimensional torus through a homoclinic bifurcation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::52eadc40674592cdf56d272306f09f99 https://doi.org/10.1109/phycon.2005.1514022 Zobrazit plný text záznamu