Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, University of Oxford, OX2 6GG, United Kingdom and Department of Mathematics and Centre for Systems Dynamics and Control, University of Exeter, EX4 4QF, United Kingdom.
Phys Rev E. 2018 May;97(5-1):050201. doi: 10.1103/PhysRevE.97.050201.
Functional oscillator networks, such as neuronal networks in the brain, exhibit switching between metastable states involving many oscillators. We give exact results how such global dynamics can arise in paradigmatic phase oscillator networks: Higher-order network interactions give rise to metastable chimeras-localized frequency synchrony patterns-which are joined by heteroclinic connections. Moreover, we illuminate the mechanisms that underly the switching dynamics in these experimentally accessible networks.
功能振荡器网络,如大脑中的神经元网络,表现出涉及多个振荡器的亚稳态之间的切换。我们给出了这样的全局动力学如何在范例相振荡器网络中产生的精确结果:高阶网络相互作用产生亚稳嵌合体-局部频率同步模式-由异宿连接连接。此外,我们阐明了这些实验可及网络中切换动力学的基础机制。