Dynamic localization of Lyapunov vectors in spacetime chaos
نویسندگان
چکیده
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 selfaveraging properties of the Lyapunov exponents.
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تاریخ انتشار 1997