Averaging Method Analysis of Synchronization Characteristics of a Large Number of Nonlinearly Coupled van der Pol Oscillators(Nonlinear Phenomena and Analysis,<Special Section>Nonlinear Theory and its Applications)

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概要

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• 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 factory. 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.

• 社団法人電子情報通信学会の論文
• 2007-10-01

著者

• Tanaka Hisa-aki

  Department Of Electronic Engineering The University Of Electro-communications (uec)

• Tanaka Hisa-aki

  Department Of Electronic Engineering The University Of Electro-communications

• SHIMIZU Kuniyasu

  Department of Electronics and Communication, Meiji University

• ENDO Tetsuro

  Department of Electronics and Communication, Meiji University

• Endo Tetsuro

  Meiji Univ. Kawasaki‐shi Jpn

• Endo Tetsuro

  Department Of Electronics And Bioinformatics Meiji University

• Shimizu Kuniyasu

  Meiji Univ. Kawasaki‐shi Jpn

• Shimizu Kuniyasu

  Department Of Electronics And Bioinformatics Meiji University

関連論文

• Transitional Dynamics and Quasi-Periodic Solution Observed in Two Asymmetrical Coupled Oscillators
• SA-2-3 Controlling Synchronized States in Coupled Oscillators
• Averaging Method Analysis of Synchronization Characteristics of a Large Number of Nonlinearly Coupled van der Pol Oscillators(Nonlinear Phenomena and Analysis,Nonlinear Theory and its Applications)
• Transitional Dynamics and Chaos in Coupled Oscillator Systems
• Numerical sensitivity in the analysis of a high-dimensional oscillator

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