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The European Physical Journal Special Topics

, Volume 226, Issue 9, pp 1893–1902 | Cite as

Enhancing synchronization in chaotic oscillators by induced heterogeneity

  • Ranjib Banerjee
  • Bidesh K. Bera
  • Dibakar Ghosh
  • Syamal Kumar Dana
Regular Article
Part of the following topical collections:
  1. Recent Advances in Nonlinear Dynamics and Complex Structures: Fundamentals and Applications

Abstract

We report enhancing of complete synchronization in identical chaotic oscillators when their interaction is mediated by a mismatched oscillator. The identical oscillators now interact indirectly through the intermediate relay oscillator. The induced heterogeneity in the intermediate oscillator plays a constructive role in reducing the critical coupling for a transition to complete synchronization. A common lag synchronization emerges between the mismatched relay oscillator and its neighboring identical oscillators that leads to this enhancing effect. We present examples of one-dimensional open array, a ring, a star network and a two-dimensional lattice of dynamical systems to demonstrate how this enhancing effect occurs. The paradigmatic Rössler oscillator is used as a dynamical unit, in our numerical experiment, for different networks to reveal the enhancing phenomenon.

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Copyright information

© EDP Sciences and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.School of Engineering & Technology, BML Munjal UniversityGurgaonIndia
  2. 2.Physics and Applied Mathematics Unit, Indian Statistical InstituteKolkataIndia
  3. 3.Department of MathematicsJadavpur UniversityKolkataIndia

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