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Tools to detect structures in dynamical systems using Jet Transport

Author
Perez Palau, Daniel; Masdemont, J.J.; Gomez Muntané, Gerard
Type of activity
Journal article
Journal
Celestial mechanics and dynamical astronomy
Date of publication
2015-11-01
Volume
123
Number
3
First page
239
Last page
262
DOI
https://doi.org/10.1007/s10569-015-9634-3 Open in new window
Project funding
DINAMICA ASOCIADA A CONEXIONES ENTRE OBJETOS INVARIANTES. APLICACIONES A ASTRODINAMICA, NEUROCIENCIA Y OTROS CAMPOS
Dinámica asociada a conexiones entre objetos invariantes. Aplicaciones a astrodinámica, neurociencia y otros campos
Repository
http://hdl.handle.net/2117/85050 Open in new window
URL
http://link.springer.com/article/10.1007%2Fs10569-015-9634-3 Open in new window
Abstract
This paper is devoted to the development of some dynamical indicators that allow the determination of regions and structures that separate different dynamic regimes in autonomous and non-autonomous dynamical systems. The underlying idea is closely related to the Lagrangian coherent structures concept introduced by Haller. In the present paper, instead of using the Cauchy-Green tensor, that determines the domains where the flow associated to a differential equation is expanding in the normal dire...
Citation
Pérez-Palau, D., Masdemont, J.J., Gómez Muntané, G. Tools to detect structures in dynamical systems using Jet Transport. "Celestial mechanics and dynamical astronomy", 01 Novembre 2015, vol. 123, núm. 3, p. 239-262.
Keywords
Circular restricted three-body problem, Elliptic restricted three-body problem, Finite time Lyapunov exponents, Invariant structures, Jet Transport, Lagrangian coherent structures, Lagrangian coherent structures (LCS), Perturbed pendulum, Simple pendulum, restricted 3-body problem, stability
Group of research
SD - UPC Dynamical Systems

Participants

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