PATTERN FORMATION IN FRACTIONAL REACTION-DIFFUSION SYSTEMS WITH MULTIPLE HOMOGENEOUS STATES
PATTERN FORMATION IN FRACTIONAL REACTION-DIFFUSION SYSTEMS WITH MULTIPLE HOMOGENEOUS STATES
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DOI：
10.1142/s0218127412500873
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发表时间：
2012-04-01
影响因子：
2.2
通讯作者：
Gafiychuk, Vasyl
中科院分区：
文献类型：
--
作者：
Datsko, Bohdan;Luchko, Yury;Gafiychuk, Vasyl
研究了具有多个齐次状态的时间分数阶反应扩散系统的自组织现象。结果表明，分数阶反应扩散系统与具有整数阶导数的系统相比，具有一些新的性质。特别是，一些复杂的时空解决方案，不能在标准的反应扩散系统中找到。对一类具有立方非线性项的无公度时间分数阶反应扩散系统进行了数值模拟。
This paper is devoted to the investigation of self-organization phenomena in time-fractional reaction-diffusion systems with multiple homogeneous states. It is shown that the fractional reaction-diffusion systems possess some new properties compared to the systems with derivatives of integer orders. In particular, some complex spatio-temporal solutions that cannot be found in the standard reaction-diffusion systems are identified. The simulation results are presented for the case of a incommensurate time-fractional reaction-diffusion system with a cubic nonlinearity.