Volume 117, Number 4, February 2017
|Number of page(s)||7|
|Published online||11 April 2017|
Chaos can imply periodicity in coupled oscillators
1 Center for Biomedical Technology, Technical University of Madrid, Campus Montegancedo 28223 Pozuelo de Alarcon, Madrid, Spain
2 Centro de Investigaciones en Optica - Loma del Bosque 115, 37150 Leon, Guanajuato, Mexico
3 Institute of Mathematics and Computer Sciences, Ural Federal University - Ekaterinburg, Russia
Received: 18 January 2017
Accepted: 25 March 2017
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.
PACS: 05.45.Ac – Low-dimensional chaos / 05.45.Gg – Control of chaos, applications of chaos / 05.45.Xt – Synchronization; coupled oscillators
© EPLA, 2017
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