Sen, Shrabani ; Ghosh, Pushpita ; Riaz, Syed Shahed ; Ray, Deb Shankar (2009) Time-delay-induced instabilities in reaction-diffusion systems Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 80 (4). 046212_1-046212_6. ISSN 1539-3755
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Official URL: http://pre.aps.org/abstract/PRE/v80/i4/e046212
Related URL: http://dx.doi.org/10.1103/PhysRevE.80.046212
Abstract
Time delay in the kinetic terms of reaction-diffusion systems has been investigated. It has been shown that short delay beyond a critical threshold may induce spatiotemporal instabilities. For unequal diffusivities and appropriate parameter space delay may induce Turing instability resulting in stationary patterns and also interesting Turing-Hopf transition with the formation of spirals. The theoretical scheme has been numerically explored in two different prototypical reaction-diffusion systems.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to The American Physical Society. |
| ID Code: | 59137 |
| Deposited On: | 03 Sep 2011 12:04 |
| Last Modified: | 03 Sep 2011 12:04 |
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