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.
|Original language||American English|
|Number of pages||4|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - 1 Nov 2006|
Bibliographical noteFunding Information:
We thank very useful discussions with H. Chaté, B. Derrida, J. González, J. Kurchan, S. Majumdar, N. Mousseau, I. Procaccia, L. Trujillo and F. Zamponi, and financial support from PICS 3172. L.F.C. is a member of IUF.
- Coupled logistic maps
- Lyapunov vector
- Stochastic growth
- Travelling waves