Complex nonlinear dynamics in subdiffusive activator-inhibitor systems
Complex nonlinear dynamics in subdiffusive activator-inhibitor systems
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DOI：
10.1016/j.cnsns.2011.08.037
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发表时间：
2012-04-01
影响因子：
3.9
通讯作者：
Gafiychuk, V.
中科院分区：
文献类型：
--
作者：
Datsko, B.;Gafiychuk, V.
本文分析了非线性时间分式反应扩散系统的线性稳定性。作为例子，考虑了具有立方非线性的反应次扩散模型。线性稳定性分析和计算机仿真表明，分数阶导数能显著改变系统的特征值谱，丰富了非线性系统动力学。给出了次扩散反应扩散系统的非线性解的概貌。(C)2011爱思唯尔B.V.保留所有权利。
In this article we analyze the linear stability of nonlinear time-fractional reaction-diffusion systems. As an example, the reaction-subdiffusion model with cubic nonlinearity is considered. By linear stability analysis and computer simulation, it was shown that fractional derivative orders can change substantially an eigenvalue spectrum and significantly enrich nonlinear system dynamics. A overall picture of nonlinear solutions in subdiffusive reaction-diffusion systems is presented. (C) 2011 Elsevier B.V. All rights reserved.