Identifying ballistic modes via Poincar\'e sections - Archive ouverte HAL
Preprints, Working Papers, ... Year : 2024

Identifying ballistic modes via Poincar\'e sections

Abstract

Exploring chaotic systems via Poincar\'e sections has proven essential in dynamical systems, yet measuring their characteristics poses challenges to identify the various dynamical regimes considered. In this paper, we propose a new approach that uses image processing to distinguish chaotic and regular regions of area-preserving dynamics, and then classify the transport regime. We characterize different transport regimes in the standard map with the proposed method based on image reconstruction techniques, identifying the superdiffusion much faster than the usual mean square displacement method. The procedure is also applied to a two-wave, time-dependent Hamiltonian to investigate superdiffusion in function of two parameters.
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Dates and versions

hal-04706524 , version 1 (23-09-2024)

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André Farinha Bósio, Iberê Luiz Caldas, Ricardo Luiz Viana, Yves Elskens. Identifying ballistic modes via Poincar\'e sections. 2024. ⟨hal-04706524⟩

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