突触权重和电磁辐射对Rulkov神经元动力学行为的影响:理论研究和基于微控制器的实验

IF 5.6 1区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Victor Kamdoum Tamba , Junior Tchiaze Tofou , Viet-Thanh Pham , Giuseppe Grassi
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引用次数: 0

摘要

生物大脑的神经网络是由数十亿个神经元组成的,它们通过树突和突触相互连接。利用它们的突触,这些神经元通过发出电脉冲来交流或传递信息。这使得我们在模拟和研究大脑功能时,既要考虑大脑中存在的复杂电磁环境,又要考虑生物神经元的突触行为。为了研究这两种现象对改进的Rulkov神经元的综合影响,本文利用非多项式忆阻器模拟和研究了改进的Rulkov神经元在电磁辐射下的突触行为。研究表明,所研究的模型随系统参数的变化既有稳定动力学,也有不稳定动力学。数值分析进一步巩固了这一点,从电磁辐射下的突触权重Rulkov神经元显示出丰富而有趣的动态,如自激和隐藏吸引子,从周期性运动演变为不规则运动,气泡样分岔和偏移增强特征。最后,通过基于面包板单片机的实验得到了物理结果,验证了数值模拟结果的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Impact of the combined effect of synaptic weight and electromagnetic radiation on the dynamical behaviors of a Rulkov neuron: Theoretical investigations and microcontroller-based experiment
The neural network of a biological brain is made up of billions of neurons interconnected to each other through their dendrites and synapses. Using their synapses, these neurons communicate or transmit information by emitting electrical impulses. This makes it very necessary for us to consider both the complex electromagnetic environments present in the brain, and the synaptic behavior of the biological neurons while simulating and studying brain functions. With the aim of studying the combined effects of these two phenomena on an improved Rulkov neuron, this work makes use of non-polynomial memristor to simulate and investigate the synaptic behavior of an improved Rulkov neuron under electromagnetic radiation. The investigations carried out shows that the studied model undergoes both stable and unstable dynamics depending on the system parameters. This is further consolidated by numerical analyses from which the synaptic weight Rulkov neuron exposed to electromagnetic radiation shows rich and interesting dynamics such as self-excited and hidden attractors, which evolve from periodic to irregular motions, bubble-like bifurcation and offset boosting features. Finally, physical findings obtained with the help of breadboard microcontroller-based experiment confirm the validity of the numerical simulations results.
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来源期刊
Chaos Solitons & Fractals
Chaos Solitons & Fractals 物理-数学跨学科应用
CiteScore
13.20
自引率
10.30%
发文量
1087
审稿时长
9 months
期刊介绍: Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.
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