Title :
Hopf-like transitions in nonsmooth dynamical systems
Author :
Olivar, G. ; Angulo, F. ; di Bernardo, M.
Author_Institution :
Adv. Control of Energy Syst., Tech. Univ. of Catalonia, Geltru, Spain
Abstract :
In this paper, we discuss the occurrence of Hopf-like transitions in nonsmooth dynamical systems. Namely, we examine the nonstandard bifurcation scenario caused by the interaction of an equilibrium of a nonsmooth system with its discontinuity boundary. We discuss two examples of non-smooth bifurcations, where the nonsmooth transition from an equilibrium to a stable limit cycle is observed.
Keywords :
DC-DC power convertors; bifurcation; piecewise linear techniques; smoothing circuits; switching circuits; Hopf like transitions; discontinuity boundary; nonsmooth dynamical systems; nonsmooth transition; nonstandard bifurcation scenario; piecewise linear techniques; Bifurcation; Circuit topology; Circuits and systems; Continuous time systems; DC-DC power converters; Limit-cycles; Piecewise linear techniques; Power engineering and energy; Switching systems; Vectors;
Conference_Titel :
Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on
Print_ISBN :
0-7803-8251-X
DOI :
10.1109/ISCAS.2004.1329098
