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Estimations for ultimate boundary of a new hyperchaotic system and its simulation |
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| Authors: | Fuchen Zhang Chunlai Mu Liangwei Wang Xingyuan Wang Xianzhong Yao |
| Affiliation: | 1. College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China 2. School of Mathematic and Statistics, Chongqing Three Gorges University, Wanzhou, Chongqing, 404000, China 3. School of Electronic & Information Engineering, Dalian University of Technology, Dalian, 116024, China |
| Abstract: | This paper has investigated the boundedness of a new hyperchaotic Rabinovich system. We have obtained the global exponential attractive set and the ultimate bound Ω λ for this system. Furthermore, we can conclude that the rate of the trajectories of the system going from the exterior of the set Ω λ,2 to the interior of the set Ω λ,2 is an exponential rate. The estimate of the trajectories rate is also obtained. Numerical simulations are presented to show the effectiveness of the proposed scheme. |
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