Hopf bifurcation analysis of a new commensurate fractional-order hyperchaotic system |
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| Authors: | Xiang Li Ranchao Wu |
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| Affiliation: | 1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing?, 210016, China
2. School of Mathematics, Anhui University, Hefei?, 230039, China
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| Abstract: | In this paper, a new fractional-order hyperchaotic system based on the Lorenz system is presented. The chaotic behaviors are validated by the positive Lyapunov exponents. Furthermore, the fractional Hopf bifurcation is investigated. It is found that the system admits Hopf bifurcations with varying fractional order and parameters, respectively. Under different bifurcation parameters, some conditions ensuring the Hopf bifurcations are proposed. Numerical simulations are given to illustrate and verify the results. |
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