Scaling properties of spatially extended chaotic systems

  • I. G. Szendro
  • J. M. López


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.


Lyapunov Exponent Chaotic System European Physical Journal Special Topic Large Lyapunov Exponent Positive Lyapunov Exponent 
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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  • I. G. Szendro
    • 1
    • 2
  • J. M. López
    • 1
  1. 1.Instituto de Física de Cantabria (IFCA)SantanderSpain
  2. 2.Departamento de Física ModernaUniversidad de CantabriaSantanderSpain

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