Chimera states in neuronal networks with time delay and electromagnetic induction

• Published in: Nonlinear dynamics Vol. 93; no. 3; pp. 1695 - 1704
• Main Authors: Tian, Changhai, Cao, Liang, Bi, Hongjie, Xu, Kesheng, Liu, Zonghua
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.08.2018; Springer Nature B.V
• Subjects: Automotive Engineering; Brain; Classical Mechanics; Control; Delay; Dynamical Systems; Electromagnetic induction; Engineering; Mechanical Engineering; Neural networks; Original Paper; Public works departments; Time lag; Vibration; FitzHugh–Nagumo model; Neuronal network; Multi-clusters state; Time delay; Chimera state; Electromagnetic induction
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-018-4285-z

Chimera state has been well studied in last decade, and a diversity of chimera states have been revealed in different systems. Recently, its attention has been moved to the neuronal systems, with the purpose of understanding the mechanisms of some brain functions. However, there is no work so far to study the influence of electromagnetic induction on chimera states, which is always with neuronal activities. We here study how the electromagnetic induction influences the chimera states of neuronal networks, especially when it is functioning with the time delay together. We find that for an isolated neuron, the increase in the strength of electromagnetic induction will reduce its firing rate but increase the amplitude of its membrane potential. For a neuronal network, either the time delay or electromagnetic induction can induce chimera states. While their cooperation will result in the robustness of chimera states. This finding may be expected in experiments.