Banerjee Tanmoy, Dutta Partha Sharathi, Zakharova Anna, Schöll Eckehard
Chaos and Complex Systems Research Laboratory, Department of Physics, University of Burdwan, Burdwan 713 104, West Bengal, India.
Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar 140 001, Punjab, India.
Phys Rev E. 2016 Sep;94(3-1):032206. doi: 10.1103/PhysRevE.94.032206. Epub 2016 Sep 8.
This paper reports the occurrence of several chimera patterns and the associated transitions among them in a network of coupled oscillators, which are connected by a long-range interaction that obeys a distance-dependent power law. This type of interaction is common in physics and biology and constitutes a general form of coupling scheme, where by tuning the power-law exponent of the long-range interaction the coupling topology can be varied from local via nonlocal to global coupling. To explore the effect of the power-law coupling on collective dynamics, we consider a network consisting of a realistic ecological model of oscillating populations, namely the Rosenzweig-MacArthur model, and show that the variation of the power-law exponent mediates transitions between spatial synchrony and various chimera patterns. We map the possible spatiotemporal states and their scenarios that arise due to the interplay between the coupling strength and the power-law exponent.
本文报道了在耦合振子网络中几种嵌合体模式的出现以及它们之间的相关转变，这些振子通过服从距离依赖幂律的长程相互作用连接。这种相互作用类型在物理学和生物学中很常见，构成了一种通用的耦合方案形式，通过调整长程相互作用的幂律指数，耦合拓扑可以从局部耦合经由非局部耦合变化到全局耦合。为了探究幂律耦合对集体动力学的影响，我们考虑一个由振荡种群的现实生态模型（即罗森茨维格 - 麦克阿瑟模型）组成的网络，并表明幂律指数的变化介导了空间同步和各种嵌合体模式之间的转变。我们绘制了由于耦合强度和幂律指数之间的相互作用而出现的可能的时空状态及其情形。
