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Synchronizability and mode-locking of two scaled quadratic maps via symmetric direct-coupling

Author

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  • Li, Xian-Feng
  • Leung, Andrew Y.T.
  • Jiang, Jun

Abstract

The paper devotes to the synthesis of synchronizability and mode-locking of two scaled quadratic maps via symmetric direct-coupling. Present research shows that, similar to diffusive-coupling, the direct-coupling also admits all synchronized motions. Nevertheless, the synchronized motions are degenerated to the controlled dynamics instead of the pseudo-orbits of the local map. In consideration of chaos synchronization, nonlinear perturbations on the synchronized subspace are employed to perform the synchronization stability analysis. The synchronizability is also surveyed from a different perspective through investigating the synchronization of the coupled chaotic map in the presence of small parameter mismatch. The emergence of mode-locking phenomena in two-dimensional parameter space is secondary but proclaims the existence of incomplete synchronization.

Suggested Citation

  • Li, Xian-Feng & Leung, Andrew Y.T. & Jiang, Jun, 2018. "Synchronizability and mode-locking of two scaled quadratic maps via symmetric direct-coupling," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 239-247.
    • Handle: RePEc:eee:chsofr:v:115:y:2018:i:c:p:239-247
    DOI: 10.1016/j.chaos.2018.09.004
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    References listed on IDEAS

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    1. W. L. Lu & B. Liu & T. Chen, 2010. "Cluster synchronization in networks of distinct groups of maps," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 77(2), pages 257-264, September.
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    Cited by:

    1. Yao, Xiao-Yue & Li, Xian-Feng & Jiang, Jun & Leung, Andrew Y.T., 2022. "Codimension-one and -two bifurcation analysis of a two-dimensional coupled logistic map," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Yamina Soula & Hadi Jahanshahi & Abdullah A. Al-Barakati & Irene Moroz, 2023. "Dynamics and Global Bifurcations in Two Symmetrically Coupled Non-Invertible Maps," Mathematics, MDPI, vol. 11(6), pages 1-13, March.

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