Eulerian spectrum of finite-time Lyapunov exponents in compound channels
نویسندگان
چکیده
منابع مشابه
Characteristic distributions of finite-time Lyapunov exponents.
We study the probability densities of finite-time or local Lyapunov exponents in low-dimensional chaotic systems. While the multifractal formalism describes how these densities behave in the asymptotic or long-time limit, there are significant finite-size corrections, which are coordinate dependent. Depending on the nature of the dynamical state, the distribution of local Lyapunov exponents has...
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The statistical properties of finite-time Lyapunov exponents at the Ulam point of the logistic map are investigated. The exact analytical expression for the autocorrelation function of one-step Lyapunov exponents is obtained, allowing the calculation of the variance of exponents computed over time intervals of length n. The variance anomalously decays as 1/n(2). The probability density of finit...
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ژورنال
عنوان ژورنال: Meccanica
سال: 2020
ISSN: 0025-6455,1572-9648
DOI: 10.1007/s11012-020-01217-y