On a 3-D generalized Hamiltonian model with conservative and dissipative chaotic flows

Shijian Cang, Aiguo Wu, Zenghui Wang and Zengqiang Chen

Chaos, Solitons & Fractals, 2017, vol. 99, issue C, 45-51

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.

Keywords: Generalized Hamiltonian system; 3-D dynamical system; Chaos; Lyapunov exponents (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:99:y:2017:i:c:p:45-51

DOI: 10.1016/j.chaos.2017.03.046

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