Title :
Using a Neural Network Controller to Control Chaos in the Rossler System
Author :
Yang, Li-Xin ; Zhang, Zhong-Rong ; Zhang, Jian-Gang
Author_Institution :
Sch. of Math. & Stat., Tianshui Normal Univ., Tianshui, China
Abstract :
The complex dynamics behaviors of the Rossler reaction systems are studied in the paper. By applying bifurcation diagram and phase diagram are presented to analyze periodic oscillation state and chaos motions. Periodic and chaotic motions of the system can be distinguished by Lyapunov exponent method. The chaotic motion of the system is controlled using neural network controller. We obtain the steady periodic orbit of the system under effectively controlling. It is concluded the hyperbolic tangent function is the best candidate as the threshold function of NNC for controlling the Rossler reaction system. By studying numerical simulations, it is possible to provide reliable theory and effective numerical method for other systems.
Keywords :
Lyapunov methods; neurocontrollers; nonlinear control systems; Lyapunov exponent method; Rossler reaction systems; bifurcation diagram; chaos control; chaotic motion; neural network control; periodic motion; phase diagram; Artificial intelligence; Bifurcation; Chaos; Control systems; Electronic mail; Mathematics; Motion control; Neural networks; Nonlinear control systems; Nonlinear equations; Rossler system; chaos; neural network controller;
Conference_Titel :
Artificial Intelligence and Computational Intelligence, 2009. AICI '09. International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3835-8
Electronic_ISBN :
978-0-7695-3816-7
DOI :
10.1109/AICI.2009.476
