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Master-Slave Synchronization of 4D Hyperchaotic Rabinovich Systems

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  • Ke Ding
  • Christos Volos
  • Xing Xu
  • Bin Du

Abstract

This paper is concerned with master-slave synchronization of 4D hyperchaotic Rabinovich systems. Compared with some existing papers, this paper has two contributions. The first contribution is that the nonlinear terms of error systems remained which inherit nonlinear features from master and slave 4D hyperchaotic Rabinovich systems, rather than discarding nonlinear features of original hyperchaotic Rabinovich systems and eliminating those nonlinear terms to derive linear error systems as the control methods in some existing papers. The second contribution is that the synchronization criteria of this paper are global rather than local synchronization results in some existing papers. In addition, those synchronization criteria and control methods for 4D hyperchaotic Rabinovich systems are extended to investigate the synchronization of 3D chaotic Rabinovich systems. The effectiveness of synchronization criteria is illustrated by three simulation examples.

Suggested Citation

  • Ke Ding & Christos Volos & Xing Xu & Bin Du, 2018. "Master-Slave Synchronization of 4D Hyperchaotic Rabinovich Systems," Complexity, Hindawi, vol. 2018, pages 1-9, January.
    • Handle: RePEc:hin:complx:6520474
    DOI: 10.1155/2018/6520474
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    References listed on IDEAS

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    1. Christos Volos & Ioannis Kyprianidis & Ioannis Stouboulos & Sundarapandian Vaidyanathan, 2016. "Design of a Chaotic Random Bit Generator Using a Duffing - van der Pol System," International Journal of System Dynamics Applications (IJSDA), IGI Global, vol. 5(3), pages 94-111, July.
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    1. Ke Ding, 2019. "Master-Slave Synchronization of Chaotic Φ 6 Duffing Oscillators by Linear State Error Feedback Control," Complexity, Hindawi, vol. 2019, pages 1-10, October.

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