Title :
Dynamical analysis of a Liu-like chaotic system
Author :
Cui, Lili ; Wei, Shutao
Author_Institution :
Comput. Sch., Shanghai Second Polytech. Univ., Shanghai, China
Abstract :
A three-dimensional continuous autonomous chaotic system is proposed in this paper, which is a new butterfly-shaped chaotic attractor obtained via modification from the newly coined Liu system. Lyapunov exponents, fractal dimension and strange attractor of the new chaotic system are studied. Its chaotic dynamical behaviors and basic dynamical properties are proved by numerical simulation and theoretical analysis. Furthermore, the forming mechanism of the new chaotic attractor is investigated.
Keywords :
Lyapunov methods; chaos; continuous systems; nonlinear control systems; time-varying systems; Liu-like chaotic system; Lyapunov exponents; butterfly-shaped chaotic attractor; chaotic dynamical behaviors; dynamical analysis; fractal dimension; strange attractor; three-dimensional continuous autonomous chaotic system; Chaos; Differential equations; Displays; Fractals; Merging; Mirrors; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Numerical simulation; Chaos; butterfly attractor; dynamical behavior;
Conference_Titel :
Control and Decision Conference, 2009. CCDC '09. Chinese
Conference_Location :
Guilin
Print_ISBN :
978-1-4244-2722-2
Electronic_ISBN :
978-1-4244-2723-9
DOI :
10.1109/CCDC.2009.5191608
