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• W2041135025 abstract "The linear stage of stability is studied for a two-component fractional reaction-diffusion system. It is shown that, with a certain value of the fractional derivative index, a different type of instability occurs. The linear stability analysis shows that the system becomes unstable toward 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. A computer simulation of a Bonhoeffer--van der Pol type of reaction-diffusion system with fractional time derivatives is performed." @default.
• W2041135025 created "2016-06-24" @default.
• W2041135025 creator A5048774825 @default.
• W2041135025 creator A5073150089 @default.
• W2041135025 date "2007-05-01" @default.
• W2041135025 modified "2023-10-16" @default.
• W2041135025 title "Stability analysis and oscillatory structures in time-fractional reaction-diffusion systems" @default.
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• W2041135025 doi "https://doi.org/10.1103/physreve.75.055201" @default.
• W2041135025 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/17677121" @default.
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