DocumentCode
2776743
Title
Dynamical analysis of a Liu-like chaotic system
Author
Cui, Lili ; Wei, Shutao
Author_Institution
Comput. Sch., Shanghai Second Polytech. Univ., Shanghai, China
fYear
2009
fDate
17-19 June 2009
Firstpage
2227
Lastpage
2230
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/CCDC.2009.5191608
Filename
5191608
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