BIFURCATION ANALYSIS OF THE PROPAGATING WAVE AND THE SWITCHING SOLUTIONS IN A RING OF SIX-COUPLED BISTABLE OSCILLATORS — BIFURCATION STARTING FROM TYPE 2 STANDING WAVE SOLUTION-Reference-Cited by-同舟云学术

BIFURCATION ANALYSIS OF THE PROPAGATING WAVE AND THE SWITCHING SOLUTIONS IN A RING OF SIX-COUPLED BISTABLE OSCILLATORS — BIFURCATION STARTING FROM TYPE 2 STANDING WAVE SOLUTION

Published:2012-05 Issue:05 Volume:22 Page:1250123
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

KAMIYAMA KYOHEI¹,KOMURO MOTOMASA²,ENDO TETSURO¹

Affiliation:

1. Department of Electronics and Bioinfomatics, Meiji University, 1-1-1 Higashi-Mita, Tama-ku, Kawasaki-shi, Kanagawa, 214-8571, Japan

2. Department of Occupational Therapy, Teikyo University of Science, 2525 Yatsusawa, Uenohara-shi, Yamanashi, 409-0193, Japan

Abstract

In this paper, we analyze the bifurcation of Type 2 periodic solution in a ring of six-coupled bistable oscillators. We show that pitchfork and heteroclinic bifurcations, which induce chaos, cause a change from periodic (standing wave) solution to quasi-periodic (propagating wave) solution or the inverse when the coupling strength is varied. We also explain the existence of the switching solution, and presume that the birth and death of this switching solution are due to a pitchfork bifurcation of a quasi-periodic solution.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127412501234

Reference8 articles.

1. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

2. Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells

3. Chaotic Pulses for Discrete Reaction Diffusion Systems

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