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Yoshiki Kuramoto. Chemical oscillations, waves, and turbulence. Chemistry Series. Dover Publications, 2003. originally published: Springer Berlin, New York, Heidel- berg, 1984.

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Article

Finite Kuramoto System with Shear and Symmetry

1Department of Physics, Swami Vivekananda Institute of Science and Technology, Sonarpur, Kolkata, India

2High Energy Physics Division, Department of Physics, Jadavpur University, Kolkata, India


International Journal of Physics. 2013, Vol. 1 No. 4, 94-100
DOI: 10.12691/ijp-1-4-3
Copyright © 2013 Science and Education Publishing

Cite this paper:
Arindam Chakraborty, Anirban Ray, A. Roy Chowdhury. Finite Kuramoto System with Shear and Symmetry. International Journal of Physics. 2013; 1(4):94-100. doi: 10.12691/ijp-1-4-3.

Correspondence to: A. Roy Chowdhury, High Energy Physics Division, Department of Physics, Jadavpur University, Kolkata, India. Email: asesh_r@yahoo.com

Abstract

In this paper we study the locally coupled finite Kuramoto Oscillator system with shear under periodic boundary condition. We also show how analytical solutions can be obtained from symmetry conditions. Existence of attractors and bifurcation patterns are revealed in an elegant way through these solutions. The synchronized regions are identified in the parameter space and critical situations are discussed. an important outcome of present analysis is the derivation of analytical form of the Poincare map.

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