Hyperchaos synchronization using univariate impulse control

Kun Tian, Chao Bai, Hai-Peng Ren* (Corresponding Author), Celso Grebogi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)
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Rössler and Chen systems with time delay are shown to be hyperchaotic, which exhibits a more complex dynamics, including multiple positive Lyapunov exponents and infinite dimension. The hyperchaos has better application potential where hyperchaos synchronization is concerned. Univariate impulse control requires smaller perturbation to the response system, thus promising better performance. However, synchronization of two hyperchaotic systems using this control method is a challenging task due to the difficulty to guarantee synchronization stability using a minimum number of manipulated variables. In this paper, a univariate impulse control method is proposed for the synchronization of two hyperchaotic dynamics generated by time delay. A theorem is developed and proved to provide the sufficient conditions for the synchronization of time delay systems using the univariate impulse control. The upper bound of the impulse interval is proved to guarantee the asymptotic synchronization. Simulation and circuit experiment show the correctness of the analysis and the feasibility of the proposed method.
Original languageEnglish
Article number052215
Number of pages8
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Issue number5
Early online date25 Nov 2019
Publication statusPublished - Nov 2019

Bibliographical note

The work is supported in part by National Natural Science Foundation of China (61172070) and Shaanxi Provincial Special Support Program for Science and Technology Innovation Leader.




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