Abstract
In this work we investigate the possibility of the pattern formation for areaction-di®usion system with nonlinear di®usion terms. Through a linear sta-bility analysis we ¯nd the conditions which allow a homogeneous steady state(stable for the kinetics) to become unstable through a Turing mechanism. Inparticular, we show how cross-di®usion e®ects are responsible for the initiationof spatial patterns. Finally, we ¯nd a Fisher amplitude equation which describesthe weakly nonlinear dynamics of the system near the marginal stability.
Lingua originale | English |
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Pagine | 297-302 |
Numero di pagine | 6 |
Stato di pubblicazione | Published - 2008 |