Title :
Computer Simulation of Coupled Synchronized the Rikitake Chaotic Systems
Author :
Chu, Yan-dong ; Li, Xian-feng ; Chang, Ying-xiang ; Zhang, Jian-Gang
Author_Institution :
Sch. of Math., Phys. & Software Eng., Lanzhou Jiaotong Univ., Lanzhou, China
fDate :
March 31 2009-April 2 2009
Abstract :
In this paper, the chaos and chaos synchronism of the Rikitake two-disk dynamo are studied further, not only numerical simulation, but circuit realization. The coupled synchronism method is used to synchronize two identical Rikitake systems with two significantly different initial conditions. The sufficient condition of global asymptotic synchronization is attained from the theory of Lyapunov stability. Numerical simulations shows the effectiveness and feasibility of this method in synchronizing two coupled Rikitake systems, and the method has some more advantageous and succinct excellence than others.
Keywords :
DC generators; Lyapunov methods; asymptotic stability; chaos; digital simulation; electric machine analysis computing; nonlinear systems; numerical analysis; synchronisation; Lyapunov stability theory; Rikitake chaotic system; Rikitake two-disk dynamo; chaos synchronism; circuit realization; computer simulation; coupled synchronism method; global asymptotic synchronization; numerical simulation; Chaos; Computer simulation; Contracts; Control systems; Coupling circuits; Equations; Lyapunov method; Magnetohydrodynamic power generation; Numerical simulation; Sufficient conditions; chaos; chaos synchronism;
Conference_Titel :
Computer Science and Information Engineering, 2009 WRI World Congress on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-0-7695-3507-4
DOI :
10.1109/CSIE.2009.409
