Title :
Analysis of a three-dimensional quadratic smooth continuous dissipative chaotic system with two equilibria
Author :
Changchun Sun ; Qicheng Xu ; Ying Ai
Author_Institution :
Shenyang Jianzhu Univ., Shenyang, China
Abstract :
A simple three-dimensional smooth chaotic system with four quadratic terms is constructed. A chaotic attractor can be generated from the system with two equilibria and seven parameters. Basic dynamical behaviors including equilibria, dissipation, state response, Lyapunov exponents, Lyapunov dimension and variation of parameters are investigated. Finally, the chaotic system is also controlled better by designing simple linear state feedback controllers.
Keywords :
Lyapunov methods; continuous systems; nonlinear control systems; Lyapunov dimension; Lyapunov exponents; chaotic attractor; dissipation; dynamical behaviors; equilibria; linear state feedback controllers design; parameters variation; quadratic terms; state response; three-dimensional quadratic smooth continuous dissipative chaotic system; Chaos; Circuit simulation; Electronic mail; State feedback; Sun; Three-dimensional displays; Chaos Control; Chaotic Attractor; Equilibrium Point; Fixed Point;
Conference_Titel :
Control and Decision Conference (CCDC), 2015 27th Chinese
Conference_Location :
Qingdao
Print_ISBN :
978-1-4799-7016-2
DOI :
10.1109/CCDC.2015.7162154
