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Bifurcation delay, travelling waves and chimera-like states in a network of coupled oscillators

Authors
  • Varshney, Vaibhav1
  • Kumarasamy, Suresh1
  • Biswal, Bibhu2
  • Prasad, Awadhesh1
  • 1 University of Delhi, Delhi-110007, India , Delhi-110007 (India)
  • 2 Cluster Innovation Centre, University of Delhi, University of Delhi, Delhi-110007, India , Delhi-110007 (India)
Type
Published Article
Journal
The European Physical Journal Special Topics
Publisher
Springer Berlin Heidelberg
Publication Date
Sep 28, 2020
Volume
229
Issue
12-13
Pages
2307–2325
Identifiers
DOI: 10.1140/epjst/e2020-900192-x
Source
Springer Nature
License
Yellow

Abstract

We report novel bifurcation delays and chimera-like states in a network of driven FitzHugh-Nagumo (FHN) oscillators, where each oscillator can rotate either clockwise or anticlockwise. Slow variation of the time-dependent parameter of FHN oscillator near the bifurcation point leads to a delay in the bifurcation. The time delay in the bifurcation is independent of the direction of rotation of the system (clockwise or anticlockwise rotation). When the FHN oscillators are coupled via dissimilar variables, then bifurcation delay in the anticlockwise rotating oscillator changes, creating chimera-like structures and also travelling waves at certain coupling strength. Bifurcation preponement is also observed for other range of coupling strengths. Similar results are also observed in networks of van der Pol and Landau-Stuart oscillators suggesting that the phenomenon is general rather than specific to coupled FHN systems.

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