Department of Physics, Central University of Rajasthan, Ajmer, 305 817, India.
The Institute of Mathematical Science, CIT Campus, Taramani, Chennai, 600 113, India.
Sci Rep. 2017 Aug 11;7(1):7936. doi: 10.1038/s41598-017-07926-x.
We report the occurrence of an explosive death transition for the first time in an ensemble of identical limit cycle and chaotic oscillators coupled via mean-field diffusion. In both systems, 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. The backward transition point for this phase transition has been calculated using linear stability analysis which is in complete agreement with the numerics.
我们首次报告了在通过平均场扩散耦合的相同极限环和混沌振荡器集合中发生的爆炸死亡转变。在这两个系统中，归一化幅度随耦合强度的变化表现出从振荡状态到死亡状态的突然且不可逆的转变，并且这种向死亡状态的一级相变与系统的大小无关。这种转变是相当普遍的，并且已经在所有存在同相振荡与耦合相关的均匀稳定态共存的耦合系统中发现。使用线性稳定性分析计算了该相变的反向转变点，这与数值结果完全一致。
