Title :
A novel chaotic system and its anti-synchronization
Author :
Shi Qingmei ; Tang Liangrui ; Zhao Lin
Author_Institution :
Sch. of Math. & Phys., North China Electr. Power Univ., Beijing, China
Abstract :
A novel chaotic system is presented in this paper. The basic dynamic properties of it are investigated including equilibrium points, Lyapunov exponents and Lyapunov dimension, Poincare maps and so on. Based on Lyapunov stability theory, anti-synchronization of the systems with the same structure is realized when the parameters are known. The simulation results demonstrate the feasibility and effectiveness of the method.
Keywords :
Lyapunov methods; Poincare mapping; chaos; stability; Lyapunov dimension; Lyapunov exponent; Lyapunov stability theory; Poincare maps; antisynchronization; chaotic system; dynamic property; equilibrium point; Chaotic communication; Educational institutions; Mathematical model; Simulation; Synchronization; Tracking; Lyapumov exponent; anti-synchronization; chaotic system; dynamical behavior;
Conference_Titel :
Natural Computation (ICNC), 2011 Seventh International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-9950-2
DOI :
10.1109/ICNC.2011.6022311
