Special Issue on Advances in Oscillator Analysis and Design; Guest Editors: A. S. Elwakil (Univ. of Sharjah, Emirates), T. Ueta (Tokushima Univ., Japan) and K. N. Salama (King Abdullah Univ. of Science and Technology, Saudi Arabia)No Access

COMPLEX PATTERN IN A RING OF VAN DER POL OSCILLATORS COUPLED BY TIME-VARYING RESISTORS

YOKO UWATE

Institute of Neuroinformatics, University/ETH Zurich, Winterthurerstrasse 190, CH-8057 Zurich, Switzerland

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YOSHIFUMI NISHIO

Department of Electrical and Electronic Engineering, Tokushima University, 2-1 Minami-Josanjima, Tokushima, Japan

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, and

RUEDI STOOP

Institute of Neuroinformatics, University/ETH Zurich, Winterthurerstrasse 190, CH-8057 Zurich, Switzerland

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https://doi.org/10.1142/S0218126610006463Cited by:11 (Source: Crossref)

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.

Keywords:

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