Investigation of synchronization for similar and non-similar systems

Document Type : Full length research Paper

Authors

1 Department of Physics, Yasouj University

2 Department of Physics, Zanjan University

Abstract

There are several methods to synchronize chaotic systems. In this work, we have proposed the adaptive synchronization to study the three interesting systems. These systems are Rössler-Rössler, Liu-Liu, and Liu-Rössler. We have simulated the synchronization of the systems under different circumstances. A numerical simulation of synchronization between the proposed systems demonstrates that the systems can synchronize with this method perfectly even in the presence of unknown parameters. We have deduced that the synchronization speed in the first system (Rössler-Rössler) is faster than the rest. Also, the second system (Liu-Liu) is synchronized faster than the third system. According to the results obtained in this paper, we can say that the adaptive synchronization works better on similar systems such as Rössler-Rössler and Liu-Liu.

Keywords

References

 
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Journal of Research on Many-body Systems
Volume 8, Issue 19
March 2019
Pages 71-82

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History

  • Receive Date: 24 August 2017
  • Revise Date: 19 June 2018
  • Accept Date: 02 July 2018

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