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

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

Chaos, Solitons & Fractals, 2018, vol. 115, issue C, 239-247

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.

Keywords: Synchronization; Symmetric direct-coupling; Parameter mismatch; Mode-locking; Scaled quadratic maps (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:115:y:2018:i:c:p:239-247

DOI: 10.1016/j.chaos.2018.09.004

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