TY  - JOUR
A1  - Pikovskij, Arkadij
A1  - Politi, Antonio
T1  - Dynamic localization of Lyapunov vectors in space-time chaos
N2  - We study the dynamics of Lyapunov vectors in various models of one-dimensional distributed systems with spacetime chaos. We demonstrate that the vector corresponding to the maximum exponent is always localized and the localization region wanders irregularly. This localization is explained by interpreting the logarithm of the Lyapunov vector as a roughening interface. We show that for many systems, the `interface' belongs to the Kardar-Parisi- Zhang universality class. Accordingly, we discuss the scaling behaviour of finite-size effects and self-averaging properties of the Lyapunov exponents.
Y1  - 1998
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/22321
ER  -