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Stability analysis and oscillatory structures in time-fractional reaction-diffusion systems | | V V Gafiychuk
; B Y Datsko
; | | Date: |
30 Apr 2007 | | Journal: | Phys Rev E, 75 (5 Pt 2), 055201 | | 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. | | Source: | PubMed, pmid17677121 | | Services: | Forum | Review | Favorites | |
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