From coupled map lattices to the stochastic Kardar–Parisi–Zhang equation

Eytan Katzav and Leticia F. Cugliandolo

Physica A: Statistical Mechanics and its Applications, 2006, vol. 371, issue 1, 96-99

Abstract: We discuss the space and time dependence of the continuum limit of an ensemble of coupled logistic maps on a one-dimensional lattice. We show that the resulting partial differential equation has elements of the stochastic Kardar–Parisi–Zhang growth equation and of the Fisher–Kolmogorov–Petrovskii–Piscounov equation describing front propagation. A similar study of the Lyapunov vector confirms that its space–time behaviour is of KPZ type.

Keywords: Coupled logistic maps; Stochastic growth; Travelling waves; Lyapunov vector (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:371:y:2006:i:1:p:96-99

DOI: 10.1016/j.physa.2006.04.083

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