Chaos can imply periodicity in coupled oscillators

Author: Pisarchik A. N.   Bashkirtseva I.   Ryashko L.  

Publisher: Edp Sciences

E-ISSN: 1286-4854|117|4|40005-40005

ISSN: 0295-5075

Source: EPL (EUROPHYSICS LETTERS), Vol.117, Iss.4, 2017-04, pp. : 40005-40005

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Abstract

We demonstrate that under certain circumstances a chaotic system driven by another chaotic system implies stable periodicity. This effect of enhancing coherence in the response system can occur when the uncoupled response system is close to a periodic window and the coupling strength is sufficiently small. The effect is illustrated with logistic maps and Rulkov maps unidirectionally coupled by either their functions or variables.