Bistable Systems with Propagating Fronts Leading to Pattern Formation
- 20 June 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 60 (25) , 2641-2644
- https://doi.org/10.1103/physrevlett.60.2641
Abstract
We discuss a dynamical transition in the propagation of fronts into an unstable state of a bistable system. In one regime, the front leads to a new form of pattern formation, in which a periodic state consisting of kinks and antikinks emerges whose wavelength diverges at the transition with an exponent frac32;. In the particular model studied, this periodic state is actually weakly unstable.Keywords
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