Chaoticus: a parallel approach to the computation of chaos indicators

Fuente: arXiv
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Autores principales: Jiménez-López, Javier, Sáez-Landete, José, García-Garrido, Victor J.
Formato: Preprint
Publicado: 2025
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author Jiménez-López, Javier
Sáez-Landete, José
García-Garrido, Victor J.
author_facet Jiménez-López, Javier
Sáez-Landete, José
García-Garrido, Victor J.
contents In this paper we present Chaoticus, a Python-based package for the GPU-accelerated integration of ODE systems and the computation of chaos indicators, including SALI, GALI, Lagrangian Descriptors based indicators and the Lyapunov exponent spectrum. By leveraging GPU parallelization, our package significantly reduces the computation times by several orders of magnitude compared to CPU-based approaches. This significant reduction in computing time facilitates the generation of extensive datasets, crucial for the in-depth analysis of complex dynamics in Hamiltonian systems.
format Preprint
id arxiv_https___arxiv_org_abs_2507_00622
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Chaoticus: a parallel approach to the computation of chaos indicators
Jiménez-López, Javier
Sáez-Landete, José
García-Garrido, Victor J.
Chaotic Dynamics
Dynamical Systems
Computational Physics
In this paper we present Chaoticus, a Python-based package for the GPU-accelerated integration of ODE systems and the computation of chaos indicators, including SALI, GALI, Lagrangian Descriptors based indicators and the Lyapunov exponent spectrum. By leveraging GPU parallelization, our package significantly reduces the computation times by several orders of magnitude compared to CPU-based approaches. This significant reduction in computing time facilitates the generation of extensive datasets, crucial for the in-depth analysis of complex dynamics in Hamiltonian systems.
title Chaoticus: a parallel approach to the computation of chaos indicators
topic Chaotic Dynamics
Dynamical Systems
Computational Physics
url https://arxiv.org/abs/2507.00622