Resurgence of oscillation in coupled oscillators under delayed cyclic interaction
arXiv:1707.05472 · doi:10.1140/epjb/e2017-70743-2
Abstract
This paper investigates the emergence of amplitude death and revival of oscillations from the suppression states in a system of coupled dynamical units interacting through delayed cyclic mode. In order to resurrect the oscillation from amplitude death state, we introduce asymmetry and feedback parameter in the cyclic coupling forms as a result of which the death region shrinks due to higher asymmetry and lower feedback parameter values for coupled oscillatory systems. Some analytical conditions are derived for amplitude death and revival of oscillations in two coupled limit cycle oscillators and corresponding numerical simulations confirm the obtained theoretical results. We also report that the death state and revival of oscillations from quenched state are possible in the network of identical coupled oscillators. The proposed mechanism has also been examined using chaotic Lorenz oscillator.
arXiv comment16 pages, 13 figures
References in corpus (19)
- Time Delay Induced Death in Coupled Limit Cycle Oscillators
- Cyclic dominance in evolutionary games: A review
- Amplitude Death: The emergence of stationarity in coupled nonlinear systems
- Distributed Delays Facilitate Amplitude Death of Coupled Oscillators
- Experimental Evidence of Time Delay Induced Death in Coupled Limit Cycle Oscillators
- Time Delay Effects on Coupled Limit Cycle Oscillators at Hopf Bifurcation
- General mechanism for amplitude death in coupled systems
- Oscillation death in diffusively coupled oscillators by local repulsive link
- Phase transition in a spatial Lotka-Volterra model
- Amplitude death in complex networks induced by environment
- Revival of oscillation from mean-field-induced death: Theory and experiment
- Amplitude death in oscillator networks with variable-delay coupling
- Amplitude death in systems of coupled oscillators with distributed-delay coupling
- From pairwise to group interactions in games of cyclic dominance
- Basin stability measure of different steady states in coupled oscillators
- Heterogeneous Delays in Neural Networks
- Restoration of oscillation in network of oscillators in presence of direct and indirect interactions
- Transition from homogeneous to inhomogeneous steady states in oscillators under cyclic coupling
- Deterministic extinction by mixing in cyclically competing species