| Dynamics of a generalized Lorenz-like chaos dynamical systems |
| Fuchen Zhang,Ping Zhou,Jin Qin,Chunlai Mu,Fei Xu |
| Keywords:Lyapunov exponents; Lyapunov-like function; global stability; global attractivity |
| Abstract: |
| In this work, a new seven-parameter Lorenz-like chaotic system is presented and
discussed by combining nonlinear dynamical systems theory with computer
simulation. The existence of the ultimate bound set and global exponential attractive
set of this chaotic system is proved by using Lyapunov’s direct method. A family of
analytic mathematical expression of the ultimate bound sets and global exponential
attractive sets involving two parameters are obtained, respectively. Meanwhile, the
volumes of the ultimate bound set and global exponential attractive set are obtained,
respectively. Numerical simulations are conducted which validates the correctness of
the proposed theoretical analysis. |
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