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Nonlinear Dynamics

, Volume 80, Issue 1–2, pp 845–854 | Cite as

Multi-switching combination synchronization of chaotic systems

  • U. E. Vincent
  • A. O. Saseyi
  • P. V. E. McClintock
Original Paper

Abstract

A novel synchronization scheme is proposed for a class of chaotic systems, extending the concept of multi-switching synchronization to combination synchronization such that the state variables of two or more driving systems synchronize with different state variables of the response system, simultaneously. The new scheme, multi-switching combination synchronization (MSCS), represents a significant extension of earlier multi-switching schemes in which two chaotic systems, in a driver-response configuration, are multi-switched to synchronize up to a scaling factor. In MSCS, the chaotic driving systems multi-switch a response chaotic system in combination synchronization. For certain choices of the scaling factors, MSCS reduces to multi-switching synchronization, implying that the latter is a special case of MSCS. A theoretical approach to control design, based on backstepping, is presented and validated using numerical simulations.

Keywords

Multi-switching Combination Synchronization Chaos Backstepping 

Notes

Acknowledgments

UEV is supported by the Royal Society of London through their Newton International Fellowship Alumni scheme. We acknowledge and thank all the reviewers for their constructive and critical comments that were very useful for improving the quality of this paper.

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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  • U. E. Vincent
    • 1
    • 2
  • A. O. Saseyi
    • 1
  • P. V. E. McClintock
    • 2
  1. 1.Department of Physical SciencesRedeemer’s UniversityRedemption CityNigeria
  2. 2.Department of PhysicsLancaster UniversityLancasterUK

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