Averaging Method Analysis of Synchronization Characteristics of a Large Number of Nonlinearly Coupled van der Pol Oscillators

Authors:
Kuniyasu Shimizu;Tetsuro Endo;Hisa-Aki Tanaka
Affiliations:
-;-;-
Venue:
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Year:
2007

Citing 3
Cited 1

Self-synchronization of coupled oscillators with hysteretic responses

Physica D
Sync: The Emerging Science of Spontaneous Order

Sync: The Emerging Science of Spontaneous Order
Averaging Method Analysis of Synchronization Characteristics of a Large Number of Nonlinearly Coupled van der Pol Oscillators

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Averaging Method Analysis of Synchronization Characteristics of a Large Number of Nonlinearly Coupled van der Pol Oscillators

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

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Abstract

The averaged equation for an arbitrary number of oscillators coupled by nonlinear coupling scheme invented by S. Nagano, is derived. This system is invented as a model of uni-cellular slime amoeba. By using the averaged equation, we investigate the synchronization characteristics of five coupled oscillators and a large number of coupled oscillators. In particular, we present the statistical property of coupled oscillators in terms of coupling factor γ. We also investigate the effect of linear and nonlinear coupling terms for achieving synchronization, and confirm that the nonlinear coupling term plays an important role for strong synchronization than linear coupling term does.