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- W3100500064 abstract "The recent years have witnessed a growing interest for covariant Lyapunov vectors (CLVs) which span local intrinsic directions in the phase space of chaotic systems. Here we review the basic results of ergodic theory, with a specific reference to the implications of Oseledets' theorem for the properties of the CLVs. We then present a detailed description of a dynamical algorithm to compute the CLVs and show that it generically converges exponentially in time. We also discuss its numerical performance and compare it with other algorithms presented in literature. We finally illustrate how CLVs can be used to quantify deviations from hyperbolicity with reference to a dissipative system (a chain of H'enon maps) and a Hamiltonian model (a Fermi-Pasta-Ulam chain)." @default.
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- W3100500064 date "2013-06-04" @default.
- W3100500064 modified "2023-10-13" @default.
- W3100500064 title "Covariant Lyapunov vectors" @default.
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- W3100500064 doi "https://doi.org/10.1088/1751-8113/46/25/254005" @default.
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