Chaotic dynamics in Bonhoffer-van der Pol fractional reaction-diffusion system

被引：9
|
作者：
Datsko, B. Y. [1 ]
Gafiychuk, V. V. [2 ,3 ]
机构：
[1] Natl Acad Sci, Inst Appl Problems Mech & Math, UA-79063 Lvov, Ukraine
[2] SGT Inc, Greenbelt, MD 20770 USA
[3] NASA, Ames Res Ctr, Moffett Field, CA 94035 USA
来源：
SIGNAL PROCESSING | 2011年 / 91卷 / 03期
关键词：
Fractional differential equation; Anomalous diffusion; Reaction-diffusion; Pattern formation; Pattern recognition; Chaotic dynamics; Applications; PATTERN-FORMATION; WAVES; CONTROLLERS;
D O I：
10.1016/j.sigpro.2010.04.004
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this article we analyze the linear stability of nonlinear fractional reaction-diffusion systems. As an example, the reaction-diffusion model with cubic nonlinearity is considered. By computer simulation, it was shown that in such simplest system, a complex nonlinear dynamics, which includes spatially non-homogeneous oscillations and spatio-temporal chaos, takes place. Possible applications of the fractional reaction-diffusion system for signal processing and pattern recognition systems are presented. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：452 / 460
页数：9
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