Abstract

BUSTOS ESPINOZA, R. O. E.  and  RAMIREZ AVILA, G. M.. Synchronization extended conditions of two coupled logistic maps. Revista Boliviana de Física [online]. 2020, vol.36, n.36, pp.4-10. ISSN 1562-3823.

Abstract We analyze the synchronization regions of two difusively coupled logistic maps in an ample parameter plane where we found new and well-defined structures of synchrony that allow us to amplify the characterization of two motile oscillators. Due to their simplicity and rich dynamical behavior, the coupled logistic maps enable us to study dierent kinds of synchronization. We focus specifically on phase synchronization characterizing it by periodicities that symmetrically pervades the parameter plane. A clear distinction is ound between the above mentioned synchronous regions from those exhibiting chaotic behavior. finally, we point out some possible applications of this kind of system.

Keywords : Synchronization; chaos; chaotic systems; nonlinear dynamics.

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