Chaos synchronization by resonance of multiple delay times

Martin, Manuel Jimenez, D'Huys, Otti, Lauerbach, Laura, Korutcheva, Elka and Kinzel, Wolfgang (2016). Chaos synchronization by resonance of multiple delay times. Physical Review E, 93 (2),

Abstract

Chaos synchronization may arise in networks of nonlinear units with delayed couplings. We study complete and sublattice synchronization generated by resonance of two large time delays with a specific ratio. As it is known for single-delay networks, the number of synchronized sublattices is determined by the greatest common divisor (GCD) of the network loop lengths. We demonstrate analytically the GCD condition in networks of iterated Bernoulli maps with multiple delay times and complement our analytic results by numerical phase diagrams, providing parameter regions showing complete and sublattice synchronization by resonance for Tent and Bernoulli maps. We compare networks with the same GCD with single and multiple delays, and we investigate the sensitivity of the correlation to a detuning between the delays in a network of coupled Stuart-Landau oscillators. Moreover, the GCD condition also allows detection of time-delay resonances, leading to high correlations in nonsynchronizable networks. Specifically, GCD-induced resonances are observed both in a chaotic asymmetric network and in doubly connected rings of delay-coupled noisy linear oscillators.

Publication DOI: https://doi.org/10.1103/PhysRevE.93.022206
Divisions: Engineering & Applied Sciences
Additional Information: ©2016 American Physical Society. Chaos synchronization by resonance of multiple delay times Manuel Jimenez Martin, Otti D'Huys, Laura Lauerbach, Elka Korutcheva, and Wolfgang Kinzel Phys. Rev. E 93, 022206 – Published 8 February 2016
Uncontrolled Keywords: Statistical and Nonlinear Physics,Statistics and Probability,Condensed Matter Physics
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Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://journal ... sRevE.93.022206 (Publisher URL)
Published Date: 2016-02-08
Authors: Martin, Manuel Jimenez
D'Huys, Otti ( 0000-0001-7498-6771)
Lauerbach, Laura
Korutcheva, Elka
Kinzel, Wolfgang

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