Title :
Bifurcation and chaos of Chen´s equation
Author :
Ueta, Tetsushi ; Chen, Guanrong
Author_Institution :
Dept. of Inf. Sci., Tokushima Univ., Japan
Abstract :
Anti-control of chaos, making a non-chaotic system chaotic, has led to the discovery of some new chaotic systems, particularly the continuous-time three-dimensional autonomous Chen´s equation with only two quadratic terms. This paper further investigates some basic dynamical properties and various bifurcations of Chen´s equation, thereby revealing its different features from some other chaotic models such as the Lorenz system
Keywords :
bifurcation; chaos; continuous time systems; nonlinear dynamical systems; state feedback; Chen´s equation; Lorenz system; anti-control; bifurcation; chaos; continuous-time three-dimensional autonomous equation; dynamical properties; quadratic terms; Adaptive control; Bifurcation; Chaos; Control systems; Equations; Information science; Jacobian matrices; Linear feedback control systems; Nonlinear control systems; State feedback;
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.2000.857482
