Pseudo-heteroclinic connections between bicircular restricted four-body problems

Autor: Esther Barrabés, Gerard Gómez, Josep Maria Mondelo, Mercè Ollé

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
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© Monthly Notices of the Royal Astronomical Society, 2016, núm. 462, p. 740-750
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Universitat Politècnica de Catalunya (UPC)
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Dipòsit Digital de la UB
Universidad de Barcelona

In this paper, we show a mechanism to explain transport from the outer to the inner Solar system. Such a mechanism is based on dynamical systems theory. More concretely, we consider a sequence of uncoupled bicircular restricted four-body problems –

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::319355b49c4c32f2d92ac7a8870d5736
http://hdl.handle.net/2072/439601

A numerical estimate of the regularity of a family of Strange Non-Chaotic Attractors

Autor: David Romero i Sànchez, Lluís Alsedà i Soler, Josep Maria Mondelo González

Publikováno v: Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

We estimate numerically the regularities of a family of Strange Non-Chaotic Attractors related with one of the models studied in (Grebogi et al., 1984) (see also Keller, 1996). To estimate these regularities we use wavelet analysis in the spirit of d

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::380029ae16d765e7d61bfb9e7b8056aa
https://doi.org/10.1016/j.physd.2016.12.006

Numerical study of the geometry of the phase space of the augmented Hill three-body problem

Autor: Ariadna Farrés, Josep-Maria Mondelo, Àngel Jorba

Publikováno v: Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de la UB
Universidad de Barcelona
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)

The Augmented Hill Three-Body problem is an extension of the classical Hill problem that, among other applications, has been used to model the motion of a solar sail around an asteroid. This model is a 3 degrees of freedom (3DoF) Hamiltonian system t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c22e1d838d0df4db118f9877815e98a3
https://ddd.uab.cat/record/182534

Seminumerical Algorithms for Computing Invariant Manifolds of Vector Fields at Fixed Points

Autor: Àlex Haro, Josep-Maria Mondelo

Publikováno v: Applied Mathematical Sciences ISBN: 9783319296609

This chapter discusses computational aspects of invariant manifolds of vector fields at fixed points. It is focused on algorithms and implementations, since the theory is well established in many classical textbooks and in the foundational papers of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3504e68de61dd90dbac8c8c605d300c1
https://doi.org/10.1007/978-3-319-29662-3_2

A collocation method for the numerical Fourier analysis of quasi-periodic functions. I: Numerical tests and examples

Autor: Josep Maria Mondelo, Carles Simó, Gerard Gómez

Publikováno v: Discrete & Continuous Dynamical Systems - B. 14:41-74

The purpose of this paper is to develop a numerical procedure for the determination of frequencies and amplitudes of a quasi--periodic function, starting from equally-spaced samples of it on a finite time interval. It is based on a collocation method

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::397ab967335b1dd51cb9a3e65712b3b3
https://doi.org/10.3934/dcdsb.2010.14.41