Title :
Complex Dynamics of a New Chaotic System without Equilibria
Author_Institution :
Sch. of Math. & Phys., China Univ. of Geosci., Wuhan, China
Abstract :
A new three-dimensional continuous quadratic autonomous chaotic system with no equilibria is discussed. Basic properties of the new system are analyzed by means of Lyapunov exponent spectrum, Poincaré mapping, fractal dimension, Analysis results show that this system has complex dynamics with some interesting characteristics.
Keywords :
Lyapunov methods; Poincare mapping; chaos; fractals; Lyapunov exponent spectrum; Poincare mapping; complex dynamics; fractal dimension; three-dimensional continuous quadratic autonomous chaotic system; Chaos; Differential equations; Educational institutions; Eigenvalues and eigenfunctions; Equations; Fractals; Jacobian matrices; Lyapunov Exponent; Poincaré Mapping; chaotic System; no equilibria;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2012 Fifth International Workshop on
Conference_Location :
Dalian
Print_ISBN :
978-1-4673-2825-8
DOI :
10.1109/IWCFTA.2012.27