Title :
On complexity of bifurcations for some classes of systems with simple dynamics
Author :
Shashkov, Mikhail V.
Author_Institution :
Dept. of Differential Equations, Inst. for Appl. Math., Nizhny Novgorod, Russia
Abstract :
A class of codimension two dynamical systems with very simple dynamics is considered. In spite of simplicity of the dynamical behavior, the structure of the bifurcation set is rather complicated. It is shown that there is no versal two-parameter family of dynamical systems which could describe completely the structure of the bifurcational set
Keywords :
bifurcation; nonlinear dynamical systems; stability; system theory; bifurcations; codimension two dynamical systems; complexity; dynamical behavior; Bifurcation; Chaos; Merging; Orbits;
Conference_Titel :
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location :
Geneva
Print_ISBN :
0-7803-5482-6
DOI :
10.1109/ISCAS.2000.856039
