Inhomogeneous oscillatory structures in fractional reaction-diffusion systems

被引：6
|
作者：
Gafiychuk, V. [1 ,2 ,3 ]
Datsko, B. [3 ]
机构：
[1] CUNY City Coll, Dept Phys, Brooklyn, NY 11201 USA
[2] Krakow Univ Technol, Inst Comp Modeling, PL-31155 Krakow, Poland
[3] Natl Acad Sci Ukraine, Inst Appl Problems Mech & Math, UA-79053 Lvov, Ukraine
来源：
PHYSICS LETTERS A | 2008年 / 372卷 / 05期
关键词：
reaction-diffusion systems; fractional differential equations; oscillations; dissipative structures; inhomogeneous oscillatory structures;
D O I：
10.1016/j.physleta.2007.07.071
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We perform a study of the two component fractional reaction-diffusion system with cubic nonlinearity. The linear stage of the system stability is studied for different values of the system parameters. It is shown that for a certain value of the fractional derivatives index, a new type of instability takes place with respect to perturbations of finite wave number. As a result, inhomogeneous oscillations with this wave number become unstable and lead to nonlinear oscillations which result in spatial oscillatory structure formation. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：619 / 622
页数：4
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