Explosive oscillation death in coupled Stuart-Landau oscillators

Abstract

Recently, the explosive phase transitions, such as explosive percolation and explosive synchronization, have attracted extensive research interest. So far, most existing works investigate Kuramoto-type models, where only phase variables are involved. Here, we report the occurrence of explosive oscillation quenching in a system of coupled Stuart-Landau oscillators that incorporates both phase and amplitude dynamics. We observe three typical scenarios with distinct microscopic mechanism of occurrence, i.e., ordinary, hierarchical, and cluster explosive oscillation death, corresponding to different frequency distributions of oscillators, respectively. We carry out theoretical analyses and obtain the backward transition point, which is shown to be independent of the specific frequency distributions. Numerical results are consistent with the theoretical prediction.

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Cited by in corpus (12)

• The Kuramoto model in complex networks
• Explosive transitions in complex networks' structure and dynamics: percolation and synchronization
• Network resilience
• Explosive Phenomena in Complex Networks
• Dynamic interaction induced explosive death
• Explosive death in nonlinear oscillators coupled by quorum sensing
• Emergent rhythms in coupled nonlinear oscillators due to dynamic interactions
• Additional complex conjugate feedback induced explosive death and multistabilities
• Energetic cost for speedy synchronization in non-Hermitian quantum dynamics
• Two distinct transitions in a population of coupled oscillators with turnover: desynchronization and stochastic oscillation quenching
• Dynamics of coupled $D$-dimensional Stuart-Landau oscillators
• Synchronization of phase oscillators with frequency-weighted coupling