Title :
Torus birth and destruction in an autonomous piecewise-smooth system
Author :
Zhusubaliyev, Zhanybai T. ; Soukhoterin, Evgeniy ; Mosekilde, Erik
Author_Institution :
Dept. of Comput. Sci., Kursk State Tech. Univ., Russia
Abstract :
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.
Keywords :
bifurcation; chaos; piecewise linear techniques; autonomous piecewise-smooth system; chaos; control system; four-dimensional piecewise-smooth autonomous model; homoclinic bifurcation; hysteresis; quasiperiodic trajectory; quintuple-turn tori; torus birth; Bifurcation; Chaos; Control system synthesis; DC-DC power converters; Differential equations; Equivalent circuits; Hysteresis; Motion control; Pulse width modulation converters; Relays;
Conference_Titel :
Physics and Control, 2005. Proceedings. 2005 International Conference
Print_ISBN :
0-7803-9235-3
DOI :
10.1109/PHYCON.2005.1514022
