Effect of mixed coupling on relay-coupled Rössler and Lorenz oscillators

Amit Sharma, Manish Dev Shrimali, and K. Aihara
Phys. Rev. E 90, 062907 – Published 9 December 2014

Abstract

The complete synchronization between the outermost oscillators using the mixed coupling in relay coupled systems is studied. Mixed coupling has two types of coupling functions: coupling between similar or dissimilar variables. We examine the complete synchronization in relay-coupled systems by the largest transverse Lyapunov exponent and synchronization error. We show numerically for Rössler and Lorenz oscillators that the combination of these two types of coupling functions is able to decrease the critical coupling strength for complete synchronization as well as it also suppress oscillations for larger coupling strength.

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  • Received 24 March 2014

DOI:https://doi.org/10.1103/PhysRevE.90.062907

©2014 American Physical Society

Authors & Affiliations

Amit Sharma1, Manish Dev Shrimali2, and K. Aihara1,3

  • 1FIRST, Aihara Innovative Mathematical Modelling Project, Japan Science and Technology Agency, Meguro-ku, Tokyo 153-8505, Japan
  • 2Department of Physics, Central University of Rajasthan, NH-8, Bandar Sindri, Ajmer 305 817, India
  • 3Institute of Industrial Science, The University of Tokyo, Tokyo 153-8505, Japan

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Issue

Vol. 90, Iss. 6 — December 2014

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