2020
DOI: 10.1016/j.cnsns.2019.104935
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Transport in Hamiltonian systems with slowly changing phase space structure

Abstract: Transport in Hamiltonian systems with weak chaotic perturbations has been much studied in the past. In this paper, we introduce a new class of problems: transport in Hamiltonian systems with slowly changing phase space structure that are not order one perturbations of a given Hamiltonian. This class of problems is very important for many applications, for instance in celestial mechanics. As an example, we study a class of onedimensional Hamiltonians that depend explicitly on time and on stochastic external par… Show more

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“…Phase space reconstruction. 44 The time series S is reconstructed in phase space to acquire the matrix H 0 , that is,…”
Section: Quantum Entropymentioning
confidence: 99%
“…Phase space reconstruction. 44 The time series S is reconstructed in phase space to acquire the matrix H 0 , that is,…”
Section: Quantum Entropymentioning
confidence: 99%