Neuroscience and Cognitive Technology Laboratory, Center for Technologies in Robotics and Mechatronics Components, Innopolis University, Universitetskaya, 1, Innopolis, Republic of Tatarstan, 420500, Russia.
Center for Biomedical Technology, Technical University of Madrid, Campus Montegancedo, 28223 Madrid, Spain.
Phys Rev E. 2019 Aug;100(2-1):022224. doi: 10.1103/PhysRevE.100.022224.
In this paper we study a chimera state in complex networks of bistable Hodgkin-Huxley neurons with excitatory coupling, which manifests as a termination of spiking activity of a part of interacting neurons. We provide a detailed investigation of this phenomenon in scale-free, small-world, and random networks and show that the chimera state is robust to the network topology. Nevertheless, network topological properties determine the stability of spatiotemporal states and therefore affect the excitability of the chimera state in the whole network. In particular, the scale-free network whose higher degree nodes are more stable to small perturbations is least exposed to chimera formation and exhibits an abrupt transition from a spiking to a silent regime. On the other hand, small-world and random networks are more likely to provide transitions to the chimera state.
本文研究了具有兴奋性耦合的双稳 Hodgkin-Huxley 神经元的复杂网络中的嵌合态，其表现为部分相互作用神经元的尖峰活动的终止。我们对无标度、小世界和随机网络中的这一现象进行了详细研究，表明嵌合态对网络拓扑具有鲁棒性。然而，网络拓扑性质决定了时空状态的稳定性，因此会影响整个网络中嵌合态的兴奋性。特别是，对于那些受到小扰动时高节点度更稳定的无标度网络，其最不容易形成嵌合态，并且会表现出从尖峰到沉默状态的突然转变。另一方面，小世界和随机网络更容易出现向嵌合态的转变。
