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Lagrangian descriptors and their applications to deterministic chaos

Published online by Cambridge University Press:  16 October 2024

Jérôme Daquin Open the ORCID record for Jérôme Daquin [Opens in a new window]
Jérôme Daquin*
Affiliation:
Department of Mathematics and naXys, Namur Institute for Complex Systems, University of Namur, Rue Grafé 2, B5000 Namur, Belgium
*
email: [email protected]
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Abstract

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We present our recent contributions to the theory of Lagrangian descriptors for discriminating ordered and deterministic chaotic trajectories. The class of Lagrangian descriptors we are dealing with is based on the Euclidean length of the orbit over a finite time window. The framework is free of tangent vector dynamics and is valid for both discrete and continuous dynamical systems. We review its last advancements and touch on how it illuminated recently Dvorak’s quantities based on maximal extent of trajectories’ observables, as traditionally computed in planetary dynamics.

Keywords

Chaos indicatorsLagrangian descriptorsChaotic motions
Type
Contributed Paper
Information
Proceedings of the International Astronomical Union , Volume 18 , Symposium S382: Complex Planetary Systems II: Latest Methods for an Interdisciplinary Approach , December 2022 , pp. 80 - 85
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of International Astronomical Union

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