一类具有顶帽核的非局部反应扩散方程的稳定性和图灵分岔

IF 2.9 2区 数学 Q1 MATHEMATICS, APPLIED
Ying Li, Yongli Song
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引用次数: 0

摘要

在非局部反应扩散方程中,核函数的形式对方程的动力学性质有重要影响。本文研究了一类非局域反应-扩散方程的时空动力学性质,其中非局域性用具有感知半径的顶帽函数来描述。感知半径在局部方程和全局方程之间建立了一座桥梁。结果表明,感知半径可以通过图灵分岔破坏常稳态,并从理论上确定了临界分岔值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Stability and Turing bifurcation in a non-local reaction–diffusion equation with a top-hat kernel
In the non-local reaction–diffusion equation, the form of the kernel function has an important effect on the dynamics of the equation. In this paper, we study the spatiotemporal dynamics of a class of non-local reaction–diffusion equation where the non-locality is described by the top-hat function with the perceptual radius. The perceptual radius establishes a bridge between the local equation and global equation. It has been shown that the perceptual radius can destabilize the constant steady state via Turing bifurcation and the critical bifurcation value is theoretically determined.
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来源期刊
Applied Mathematics Letters
Applied Mathematics Letters 数学-应用数学
CiteScore
7.70
自引率
5.40%
发文量
347
审稿时长
10 days
期刊介绍: The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.
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