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Synchronization of generalised linearly bidirectionally coupled unified chaotic system

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  • Tarai (Poria), Anindita
  • Poria, Swarup
  • Chatterjee, Prasanta

Abstract

Several important properties of chaos synchronization of bidirectionally coupled systems remain still unexplored. This paper investigates identical synchronization scheme for generalised linearly bidirectionally coupled unified chaotic system. The Lyapunov stability theory is used to substantiate the results. The study of linearly bidirectionally coupled unified chaotic systems are done first and conditions on coupling parameters for synchronization are derived. Finally, numerical simulation results are presented to show the feasibility and effectiveness of the approach.

Suggested Citation

  • Tarai (Poria), Anindita & Poria, Swarup & Chatterjee, Prasanta, 2009. "Synchronization of generalised linearly bidirectionally coupled unified chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 885-892.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:2:p:885-892
    DOI: 10.1016/j.chaos.2007.08.039
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    References listed on IDEAS

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    1. Park, Ju H., 2005. "Controlling chaotic systems via nonlinear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 1049-1054.
    2. Park, Ju H., 2005. "Stability criterion for synchronization of linearly coupled unified chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1319-1325.
    3. Zhou, Jin & Lu, Jun-an & Wu, Xiaoqun, 2007. "Linearly and nonlinearly bidirectionally coupled synchronization of hyperchaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 230-235.
    4. Park, Ju H., 2005. "On synchronization of unified chaotic systems via nonlinear Control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 699-704.
    5. Park, Ju H., 2005. "Chaos synchronization of a chaotic system via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 579-584.
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    Cited by:

    1. Zribi, Mohamed & Smaoui, Nejib & Salim, Haitham, 2009. "Synchronization of the unified chaotic systems using a sliding mode controller," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3197-3209.

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