Title :
A cell model of chaotic attractor
Author_Institution :
Dept. of Electron. Eng., South China Univ. of Technol., Guangzhou, China
Abstract :
This paper presents a cell model of chaotic attractor that describes practical chaotic behaviors and explains the chaos-producing mechanisms of nonlinear systems. It has been shown that: (1) there are one or more real attractors, the “hybrid attractors”, in a chaotic attractor, and (2) a quasi-periodic motion (QM) and an isolate direct motion (DM) occur alternately and convert each other in a chaotic system, and the quasi-periodicity of QM and the wandering nature of DM are the main causes of chaos-evolving. Two criteria for the existence of chaotic attractor are given as well
Keywords :
chaos; frequency-domain analysis; nonlinear dynamical systems; cell model; chaos-producing mechanisms; chaotic attractor; hybrid attractors; nonlinear systems; quasi-periodic motion; wandering nature; Chaos; Delta modulation; Differential equations; Eigenvalues and eigenfunctions; Frequency domain analysis; Jacobian matrices; Nonlinear systems; Orbits; Polynomials; Programmable control;
Conference_Titel :
Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on
Print_ISBN :
0-7803-3583-X
DOI :
10.1109/ISCAS.1997.621912
