Mechanism for intensity-induced chimera states in globally coupled oscillators

V. K. Chandrasekar, R. Gopal, A. Venkatesan, and M. Lakshmanan
Phys. Rev. E 90, 062913 – Published 18 December 2014

Abstract

We identify the mechanism behind the existence of intensity-induced chimera states in globally coupled oscillators. We find that the effect of intensity in the system is to cause multistability by increasing the number of fixed points. This in turn increases the number of multistable attractors, and we find that their stability is determined by the strength of coupling. This causes the coexistence of different collective states in the system depending upon the initial state. We demonstrate that intensity-induced chimera is generic to both periodic and chaotic systems. We discuss possible applications of our results to real-world systems like the brain and spin torque nano-oscillators.

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  • Received 29 June 2014
  • Revised 19 September 2014

DOI:https://doi.org/10.1103/PhysRevE.90.062913

©2014 American Physical Society

Authors & Affiliations

V. K. Chandrasekar1, R. Gopal2,3, A. Venkatesan3, and M. Lakshmanan2

  • 1Centre for Nonlinear Science & Engineering, School of Electrical & Electronics Engineering, SASTRA University, Thanjavur 613 401, India
  • 2Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirapalli 620 024, India
  • 3Department of Physics, Nehru Memorial College, Puthanampatti, Tiruchirapalli 621 007, India

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Issue

Vol. 90, Iss. 6 — December 2014

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