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Complex pattern in a ring of van der Pol oscillators coupled by time-varying resistors


Uwate, Y; Nishio, Y; Stoop, R (2010). Complex pattern in a ring of van der Pol oscillators coupled by time-varying resistors. Journal of Circuits, Systems, and Computers, 19(4):819-834.

Abstract

Synchronization phenomena in coupled oscillatory systems are very important models to describe various higher-dimensional nonlinear phenomena in the field of natural science. In this paper, phase synchronization in a ring of van der Pol oscillators coupled by time-varying resistors is studied. The coexistence of in-phase and anti/N-phase states and various interesting phase synchronization patterns are observed when the parameters are changed. Further, the influence of duty cycle of time-varying resistors for the observed phase synchronization patterns is investigated.

Abstract

Synchronization phenomena in coupled oscillatory systems are very important models to describe various higher-dimensional nonlinear phenomena in the field of natural science. In this paper, phase synchronization in a ring of van der Pol oscillators coupled by time-varying resistors is studied. The coexistence of in-phase and anti/N-phase states and various interesting phase synchronization patterns are observed when the parameters are changed. Further, the influence of duty cycle of time-varying resistors for the observed phase synchronization patterns is investigated.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Neuroinformatics
Dewey Decimal Classification:570 Life sciences; biology
Uncontrolled Keywords:Coupled oscillators;synchronization;wave propagation;van der Pol oscillator;time-varying resistor
Language:English
Date:1 January 2010
Deposited On:04 Mar 2011 15:46
Last Modified:07 Dec 2017 07:53
Publisher:World Scientific Publishing
Series Name:Journal of circuits, systems, and computers
Number of Pages:15
ISSN:0218-1266
Publisher DOI:https://doi.org/10.1142/S0218126610006463

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