Transition from inhomogeneous limit cycles to oscillation death in nonlinear oscillators with similarity-dependent
Pragjyotish Bhuyan Gogoi1, Suresh Kumarasamy2, Awadhesh Prasad1
1Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India.
Abstract:
We consider a system of coupled nonlinear oscillators in which the interaction is modulated by a measure of the similarity between the oscillators. Such a coupling is common in treating spatially mobile dynamical systems where the interaction is distance dependent or in resonance-enhanced interactions, for instance. For a system of Stuart-Landau oscillators coupled in this manner, we observe a novel route to oscillation death via a Hopf bifurcation. The individual oscillators are confined to inhomogeneous limit cycles initially and are damped to different fixed points after the bifurcation. Analytical and numerical results are presented for this case, while numerical results are presented for coupled Rössler and Sprott oscillators.
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