Pattern Formation in a Reaction–Diffusion System with Time-Fractional Derivatives

被引：0
|
作者：
Zenyuk D.A. [1 ]
Malinetsky G.G. [1 ]
机构：
[1] Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow
来源：
Mathematical Models and Computer Simulations | 2021年 / 13卷 / 1期
关键词：
fractional calculus; reaction–diffusion systems;
D O I：
10.1134/S2070048221010178
中图分类号：
学科分类号：
摘要：
Abstract: In this paper possible scenarios of pattern formation in nonlinear media with diffusion and differential operators of a noninteger order are studied for the abstract Brusselator model. Through the standard linear analysis exact critical values for different types of instabilities are derived. It is shown that the stability criteria significantly depend on the order of the fractional derivative in the case of the Hopf and C2TH bifurcations. Predictions of the linear theory are confirmed by the numerical simulation. © 2021, Pleiades Publishing, Ltd.
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页码：126 / 133
页数：7
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