Dutta Sangita, Mondal Abhijit, Kundu Prosenjit, Khanra Pitambar, Pal Pinaki, Hens Chittaranjan
Department of Mathematics, National Institute of Technology, Durgapur 713209, India.
Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar, Gujarat 382007, India.
Phys Rev E. 2023 Sep;108(3-1):034208. doi: 10.1103/PhysRevE.108.034208.
The study of first order transition (explosive synchronization) in an ensemble (network) of coupled oscillators has been the topic of paramount interest among the researchers for more than one decade. Several frameworks have been proposed to induce explosive synchronization in a network and it has been reported that phase frustration in a network usually suppresses first order transition in the presence of pairwise interactions among the oscillators. However, on the contrary, by considering networks of phase frustrated coupled oscillators in the presence of higher-order interactions (up to 2-simplexes) we show here, under certain conditions, phase frustration can promote explosive synchronization in a network. A low-dimensional model of the network in the thermodynamic limit is derived using the Ott-Antonsen ansatz to explain this surprising result. Analytical treatment of the low-dimensional model, including bifurcation analysis, explains the apparent counter intuitive result quite clearly.
十多年来，耦合振子集合（网络）中的一阶相变（爆发性同步）研究一直是研究人员极为感兴趣的课题。已经提出了几种框架来诱导网络中的爆发性同步，并且有报道称，在振子之间存在成对相互作用的情况下，网络中的相位受挫通常会抑制一阶相变。然而，与此相反，我们在此表明，在存在高阶相互作用（高达2 - 单形）的情况下，通过考虑相位受挫的耦合振子网络，在某些条件下，相位受挫可以促进网络中的爆发性同步。使用奥 - 安滕森假设推导出热力学极限下网络的低维模型来解释这一惊人结果。对低维模型的解析处理，包括分岔分析，相当清晰地解释了这一明显违反直觉的结果。
