{"title":"楔形持续时间和电磁噪声对螺旋波动力学的影响","authors":"","doi":"10.1016/j.cnsns.2024.108262","DOIUrl":null,"url":null,"abstract":"<div><p>This paper focuses particularly on the influence of wedge duration on spiral wave formation and the regulation of electromagnetic noise. The motion stability or periodicity of a constructed regular neuronal network system is revealed by applying the master stability function method. The effect of wedge duration and electromagnetic noise on spiral wave dynamics is quantified using defined metrics, and explained by bifurcation of neuronal activity and differentiation of neuronal populations. Research results are as follows: (1) The appearing wave head rotates and evolves into a spiral pattern due to the potential difference between neurons, which is determined by wedge duration. (2) Whether it is homogeneous or heterogeneous, electromagnetic noise can effectively regulate the evolution of spiral waves. (3) Noise excitation significantly suppresses the network firing activity and alters the electric field distribution, leading to the narrowing of spiral arm and the drift of wave head. This study not only demonstrates the importance of wedge duration for spiral wave formation, but also provides guidance for stochastically regulating the spiral wave evolution.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4000,"publicationDate":"2024-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Effect of wedge duration and electromagnetic noise on spiral wave dynamics\",\"authors\":\"\",\"doi\":\"10.1016/j.cnsns.2024.108262\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper focuses particularly on the influence of wedge duration on spiral wave formation and the regulation of electromagnetic noise. The motion stability or periodicity of a constructed regular neuronal network system is revealed by applying the master stability function method. The effect of wedge duration and electromagnetic noise on spiral wave dynamics is quantified using defined metrics, and explained by bifurcation of neuronal activity and differentiation of neuronal populations. Research results are as follows: (1) The appearing wave head rotates and evolves into a spiral pattern due to the potential difference between neurons, which is determined by wedge duration. (2) Whether it is homogeneous or heterogeneous, electromagnetic noise can effectively regulate the evolution of spiral waves. (3) Noise excitation significantly suppresses the network firing activity and alters the electric field distribution, leading to the narrowing of spiral arm and the drift of wave head. This study not only demonstrates the importance of wedge duration for spiral wave formation, but also provides guidance for stochastically regulating the spiral wave evolution.</p></div>\",\"PeriodicalId\":50658,\"journal\":{\"name\":\"Communications in Nonlinear Science and Numerical Simulation\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.4000,\"publicationDate\":\"2024-08-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Nonlinear Science and Numerical Simulation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1007570424004477\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Nonlinear Science and Numerical Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1007570424004477","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Effect of wedge duration and electromagnetic noise on spiral wave dynamics
This paper focuses particularly on the influence of wedge duration on spiral wave formation and the regulation of electromagnetic noise. The motion stability or periodicity of a constructed regular neuronal network system is revealed by applying the master stability function method. The effect of wedge duration and electromagnetic noise on spiral wave dynamics is quantified using defined metrics, and explained by bifurcation of neuronal activity and differentiation of neuronal populations. Research results are as follows: (1) The appearing wave head rotates and evolves into a spiral pattern due to the potential difference between neurons, which is determined by wedge duration. (2) Whether it is homogeneous or heterogeneous, electromagnetic noise can effectively regulate the evolution of spiral waves. (3) Noise excitation significantly suppresses the network firing activity and alters the electric field distribution, leading to the narrowing of spiral arm and the drift of wave head. This study not only demonstrates the importance of wedge duration for spiral wave formation, but also provides guidance for stochastically regulating the spiral wave evolution.
期刊介绍：
The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity.
The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged.
Topics of interest:
Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity.
No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.
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