Conjugate coupling induced symmetry breaking and quenched oscillations
arXiv:1810.10185 · doi:10.1209/0295-5075/124/20007
Abstract
Spontaneous symmetry breaking (SSB) is essential and plays a vital role many natural phenomena, including the formation of Turing pattern in organisms and complex patterns in brain dynamics. In this work, we investigate whether a set of coupled Stuart-Landau oscillators can exhibit spontaneous symmetry breaking when the oscillators are interacting through dissimilar variables or conjugate coupling. We find the emergence of SSB state with coexisting distinct dynamical states in the parametric space and show how the system transits from symmetry breaking state to out-of-phase synchronized (OPS) state while admitting multistabilities among the dynamical states. Further, we also investigate the effect of feedback factor on SSB as well as oscillation quenching states and we point out that the decreasing feedback factor completely suppresses SSB and oscillation death states. Interestingly, we also find the feedback factor completely diminishes only symmetry breaking oscillation and oscillation death (OD) states but it does not affect the nontrivial amplitude death (NAD) state. Finally, we have deduced the analytical stability conditions for in-phase and out-of-phase oscillations, as well as amplitude and oscillation death states.
arXiv commentAccepted for publication in Europhysics Letters
References in corpus (16)
- Symmetries, Cluster Synchronization, and Isolated Desynchronization in Complex Networks
- Time Delay Induced Death in Coupled Limit Cycle Oscillators
- Amplitude Death: The emergence of stationarity in coupled nonlinear systems
- Experimental Evidence of Time Delay Induced Death in Coupled Limit Cycle Oscillators
- Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling
- Amplitude death in coupled chaotic oscillators
- Experimental Observations of Group Synchrony in a System of Chaotic Optoelectronic Oscillators
- Oscillation death in diffusively coupled oscillators by local repulsive link
- Transition from amplitude to oscillation death under mean-field diffusive coupling
- Experimental observation of a transition from amplitude to oscillation death in coupled oscillators
- Basin stability measure of different steady states in coupled oscillators
- Minimal Model for Stem-Cell Differentiation
- Turing patterns and solitary structures under global control
- Restoration of oscillation in network of oscillators in presence of direct and indirect interactions
- Amplitude death and resurgence of oscillation in network of mobile oscillators
- Spontaneous symmetry breaking due to the trade-off between attractive and repulsive couplings