Irregular evolution has been observed in various linearly stable systems (i.e. characterized by a negative maximum Lyapunov exponent), such as coupled map lattices or a chain of forced Duffing oscillators. In two dimensions this yields a complex interfacial behavior, which resembles the one observed in some optically forced chemical reactions, while one dimensional model are mainly characterized by the propagation of finite size perturbations with positive velocity. A simple stochastic model is able to reproduce the main features of this one dimensional deterministic models..

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