1. On a 3-D generalized Hamiltonian model with conservative and dissipative chaotic flows.
- Author
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Cang, Shijian, Wu, Aiguo, Wang, Zenghui, and Chen, Zengqiang
- Subjects
- *
HAMILTONIAN systems , *COMPUTER simulation , *POINCARE series , *SYMMETRIC matrices , *CHAOS theory , *BIFURCATION diagrams - Abstract
Based on the generalized Hamiltonian system, a new method for constructing a class of three-dimensional (3-D) chaotic systems is presented in this paper. After choosing the proper parameters of skew-symmetric matrix, dissipative matrix and external input, one smooth 3-D chaotic system is proposed to show the effectiveness of the proposed method. Numerical simulation techniques, including phase portraits, Poincaré sections, Lyapunov exponents and bifurcation diagram, illustrate that the proposed 3-D system has periodic, quasi-periodic and chaotic flows under the conditions of different parameters. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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