Diverse routes of transition from amplitude to oscillation death in coupled oscillators under additional repulsive link
arXiv:1402.3172 · doi:10.1103/PhysRevE.89.032901
Abstract
We report the existence of diverse routes of transition from amplitude death (AD) to oscillation death (OD) in three different diffusively coupled systems, those are perturbed by a symmetry break- ing repulsive coupling link. For limit cycle systems the transition is through a pitchfork bifurcation (PB) as has been noted before, but in chaotic systems it can be through a saddle-node or a trans- critical bifurcation depending on the nature of the underlying dynamics of the individual systems. The diversity of the routes and their dependence on the complex dynamics of the coupled systems not only broadens our understanding of this important phenomenon but can lead to potentially new practical applications.
References in corpus (3)
Cited by in corpus (17)
- Transition from amplitude to oscillation death under mean-field diffusive coupling
- Experimental observation of a transition from amplitude to oscillation death in coupled oscillators
- Transitions among the diverse oscillation quenching states induced by the interplay of direct and indirect coupling
- Distance dependent competitive interactions in a frustrated network of mobile agents
- Perspective on attractive-repulsive interactions in dynamical networks: progress and future
- Transition from homogeneous to inhomogeneous limit cycles: Effect of local filtering in coupled oscillators
- Effect of repulsive links on frustration in attractively coupled networks
- Transition from amplitude to oscillation death in a network of oscillators
- 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
- Interlayer antisynchronization in degree-biased duplex networks
- Synchronization of wave structures in a heterogeneous multiplex network of 2D vdP lattices with attractive and repulsive intra-layer coupling
- Infection spreading and recovery in a square lattice
- Resilience in multiplex networks by addition of cross-repulsive links
- Emergent dynamics in delayed attractive-repulsively coupled networks
- Mixed mode oscillation suppression states in coupled oscillators
- Dynamics of a 2D lattice of van der Pol oscillators with nonlinear repulsive coupling