Memristor synapse-coupled memristive neuron network: synchronization transition and occurrence of chimera

Memristor synapse can be used to characterize the electromagnetic induction effect between two neurons that induces an action current by their membrane potential difference. This paper proposes a memristor synapse-coupled neuron network with no equilibrium, which is achieved using a memristor synaps...

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Bibliographic Details
Published inNonlinear dynamics Vol. 100; no. 1; pp. 937 - 950
Main Authors Bao, Han, Zhang, Yunzhen, Liu, Wenbo, Bao, Bocheng
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.03.2020
Springer Nature B.V
Subjects
Automotive Engineering
Classical Mechanics
Control
Coupling coefficients
Dynamical Systems
Electromagnetic induction
Engineering
Mechanical Engineering
Membranes
Memristors
Neurons
Original Paper
Synchronism
Vibration
Neuron network
Memristor synapse
Initial state
Synchronicity
Chimera
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Summary:Memristor synapse can be used to characterize the electromagnetic induction effect between two neurons that induces an action current by their membrane potential difference. This paper proposes a memristor synapse-coupled neuron network with no equilibrium, which is achieved using a memristor synapse to connect the membrane potentials of two identical three-dimensional memristive Hindmarsh–Rose neurons. Exponential synchronization is proved theoretically, and synchronous activities are discussed numerically. The theoretical and numerical results illustrate that the synchronicities of memristor synapse-coupled neuron network are related to the memristor coupling coefficient and especially related to the initial states of memristor synapse and coupling neurons. Furthermore, by constructing a ring network of memristor synapse-coupled neuron network, several types of collective behaviors including incoherent, coherent, imperfect synchronization, and chimera states are disclosed numerically, which indicate that the chimera states arisen in the ring network are dependent on the memristor coupling coefficient and sub-network coupling strength.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-020-05529-2