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Stability enhancement by induced synchronization using transient uncoupling in certain coupled chaotic systems

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  • Sivaganesh, G.
  • Arulgnanam, A.
  • Seethalakshmi, A.N.

Abstract

In this work, we report the effect of the size of the chaotic attractor in influencing the enhanced stability of induced synchronization observed through transient uncoupling in a class of unidirectionally coupled identical chaotic systems. The phenomenon of transient uncoupling implies the clipping of the chaotic attractor of the driven system in a drive-driven scenario and making the coupling strength active over the clipped regions. The Master Stability Function (MSF) is used to determine the enhanced stability of synchronized states for a finite clipping fraction in unidirectionally coupled chaotic systems. The effectiveness of transient uncoupling in enhancing stable synchronization is observed through the existence of negative regions in the MSF spectrum for larger values of coupling strength. Further the two-parameter bifurcation diagram indicating the regions of stable synchronization for different values of clipping fraction and coupling strength has been obtained. The effect of the size of the chaotic attractors with different Lyapunov dimension and the nature of the coupled state variables in enhancing the stability of the synchronized states over greater regions of clipping fractions is studied.

Suggested Citation

  • Sivaganesh, G. & Arulgnanam, A. & Seethalakshmi, A.N., 2019. "Stability enhancement by induced synchronization using transient uncoupling in certain coupled chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 217-228.
    • Handle: RePEc:eee:chsofr:v:123:y:2019:i:c:p:217-228
    DOI: 10.1016/j.chaos.2019.04.009
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    References listed on IDEAS

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    1. Sivaganesh, G. & Arulgnanam, A. & Seethalakshmi, A.N., 2018. "Generalized analytical solutions and experimental confirmation of complete synchronization in a class of mutually coupled simple nonlinear electronic circuits," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 294-307.
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    Cited by:

    1. Márquez-Martínez, L.A. & Cuesta-García, J.R. & Pena Ramirez, J., 2022. "Boosting synchronization in chaotic systems: Combining past and present interactions," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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