On the existence of traveling fronts in the fractional-order Amari neural field model

被引：1
|
作者：
Gonzalez-Ramirez, L. R. [1 ]
机构：
[1] Inst Politecn Nacl, Escuela Super Fis & Matemat, Unidad Profes Adolfo Lopez Mateos, Edificio 9, Cd De Mexico 07738, Mexico
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2023年 / 116卷
关键词：
Fractional -order derivative; Amari model; Traveling fronts; Caputo derivative; Neural fields; DIFFERENTIAL-EQUATIONS; LATERAL-INHIBITION; PROPAGATING WAVES; BURSTING PATTERNS; DYNAMICS; CORTEX; CALCULUS; NETWORKS; EPILEPSY;
D O I：
10.1016/j.cnsns.2022.106790
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Different spatiotemporal patterns of neural activity appear at mesoscopic and macroscopic scales 11,2]. These patterns can be due to stimulus-evoked responses, cortical processing and pathological responses, among others 11,3,4]. Their shape can consist of relatively simple forms (such as stationary bumps or traveling waves) or more complex patterns (such as traveling wave interactions). The exact mechanisms underlying the emergence and propagation of these patterns are not
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页数：16
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