Lyapunov exponents for Hamiltonian systems under small Lévy-type perturbations
نویسندگان
چکیده
This work is to investigate the (top) Lyapunov exponent for a class of Hamiltonian systems under small non-Gaussian L\'evy noise. In suitable moving frame, linearisation such system can be regarded as perturbation nilpotent linear system. The then estimated by taking Pinsky-Wihstutz transformation and applying Khas'minskii formula, appropriate assumptions on smoothness, ergodicity integrability. Finally, two examples are present illustrate our results. results characterize growth or decay rates dynamical interaction between structures uncertainties.
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ژورنال
عنوان ژورنال: Chaos
سال: 2021
ISSN: ['1527-2443', '1089-7682', '1054-1500']
DOI: https://doi.org/10.1063/5.0058716