Eur. Phys. J. Special Topics 143, 13-18 (2007)
https://doi.org/10.1140/epjst/e2007-00065-3

Scaling properties of spatially extended chaotic systems

¹ Instituto de Física de Cantabria (IFCA), CSIC–UC, 39005 Santander, Spain
² Departamento de Física Moderna, Universidad de Cantabria, Avda. Los Castros, 39005 Santander, Spain

Abstract

We investigate the scaling properties of Lyapunov eigenvectors and exponents in coupled-map lattices exhibiting space-time chaos. A deep interrelation between spatiotemporal chaos and kinetic roughening of surfaces is postulated. We show that the logarithm of unstable eigenvectors exhibits scale-invariance with roughness exponents that can be predicted by a simple scaling conjecture. We argue that these scaling properties should be generic in spatially homogeneous extended systems with local diffusive-like couplings.