Coexisting discharge and synchronization of heterogeneous discrete neural network with crosstalk memristor synapses

• DOI: 10.7498/aps.73.20231972
• Publication Date: 2024-04-09T11:21:23Z
• Authors: Xuan Wang; Jian-Rong Du; Zhi-Jun Li; Ming-Lin Ma; Chun-Lai Li
• Keywords: Memristor; Crosstalk

Synaptic crosstalk, which occurs due to the overflow of neurotransmitters between neighboring synapses, holds a crucial position in shaping discharge characteristics and signal transmission within nervous systems. In this work, two memristors are employed simulate biological neural synapses bidirectionally coupled Chialvo discrete neuron Rulkov neuron. Thus, heterogeneous network with memristor-synapse coupling is constructed, crosstalk behavior memristor state taken into account. The analysis demonstrates that quantity stability fixed points greatly depend on strength synaptic crosstalk. Additionally, through thorough investigation bifurcation diagrams, phase Lyapunov exponents, time sequences, we uncover multi-stable property exhibited by network. This characteristic manifests as coexistence diverse behaviors, significantly change intensity Interestingly, introduction control parameter variables can lead bias increase, also infinite stable states occur Furthermore, comprehensively study influence synchronization network, consideration various strengths, initial conditions, parameters. Our analysis, based difference factor neuronal reveales maintains despite variations strengths. insights gained from work provide important support for elucidating electrophysiological mechanisms behind processing information. Especially, coexisting phenomenon provides an theoretical foundation clinical symptoms diagnosis same neurological disease among different individuals or at stages. And doctors predict progression prognosis patterns patients, enabling them adopt appropriate intervention measures monitoring plans. Therefore, research system contributes comprehensive treatment disease.