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

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.

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Year of publication:	2006
Authors:	Katzav, Eytan ; Cugliandolo, Leticia F.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 371.2006, 1, p. 96-99
Publisher:	Elsevier
Subject:	Coupled logistic maps \| Stochastic growth \| Travelling waves \| Lyapunov vector

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010871636