Physics

Prof Manish Dev Shrimali
Central University of Rajasthan

Abstract: An abrupt transition from an oscillatory state to no oscillations in coupled oscillators is termed as an explosive death transition. The occurrence of explosive oscillation quenching in a system of coupled Stuart-Landau oscillators is studied by Bi et al. where 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 are observed [1]. In another study, an explosive death transition in an ensemble of identical limit cycle and chaotic oscillators coupled via mean–field diffusion is studied. Here, the variation of the normalized amplitude with the coupling strength exhibits an abrupt and irreversible transition to death state from an oscillatory state and this first order phase transition to death state is independent of the size of the system. This transition is quite general and has been found in all the coupled systems where in–phase oscillations co–exist with a coupling dependent homogeneous steady state [2]. 

References:
1.Explosive oscillation death in coupled Stuart-Landau oscillators, H. Bi, X. Hu, X. Zhang, Y. Zou, Z. Liu and S. Guan, Europhysics Letters, 108, 50003 (2014).
2.Explosive death induced by mean–field diffusion in identical oscillators, U K Verma, A Sharma, N K Kamal, J Kurths, and Manish Dev Shrimali, Scientific Reports, 7, 7936 (2017).