Výsledky vyhledávání - "Patricia Yanguas"

Nonlinear Stability in the Spatial Attitude Motion of a Satellite in a Circular Orbit

Autor: Patricia Yanguas, Daniela Cárcamo-Díaz, Jesús F. Palacián, Claudio Vidal

Publikováno v: Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
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The paper considers the attitude nonlinear stability analysis of the spatial satellite problem and takes it one step further. A study of the Lie (formal) stability is presented and long-time estimates related to the Lie stable cases are provided. The

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36a97a8f1fbdd3cf711c2a5ec3b625ff
https://doi.org/10.1137/20m136760x

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Reeb’s Theorem and Periodic Orbits for a Rotating Hénon–Heiles Potential

Autor: Víctor Lanchares, Ana I. Pascual, Jesús F. Palacián, J. P. Salas, Manuel Iñarrea, Patricia Yanguas

Publikováno v: Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
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Academica-e: Repositorio Institucional de la Universidad Pública de Navarra
Universidad Pública de Navarra

We apply Reeb’s theorem to prove the existence of periodic orbits in the rotating Hénon– Heiles system. To this end, a sort of detuned normal form is calculated that yields a reduced system with at most four non degenerate equilibrium points. Li

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f568d485cddbca6e56e7f9d860fcd9a6
https://doi.org/10.1007/s10884-019-09814-6

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Periodic solutions, KAM tori and bifurcations in a cosmology-inspired potential

Autor: Jhon Vidarte, Jesús F. Palacián, Claudio Vidal, Patricia Yanguas

Publikováno v: Academica-e: Repositorio Institucional de la Universidad Pública de Navarra
Universidad Pública de Navarra
Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
instname

This is a peer-reviewed, un-copyedited version of an article published in Nonlinearity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is avail

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb8af509d1fa62c6f91a33ed9115305e
https://doi.org/10.1088/1361-6544/ab1bc6

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On the nonlinear stability of the triangular points in the circular spatial restricted three-body problem

Autor: Jesús F. Palacián, Claudio Vidal, Patricia Yanguas, Daniela Cárcamo-Díaz

The well-known problem of the nonlinear stability of L4 and L5 in the circular spatial restricted three-body problem is revisited. Some new results in the light of the concept of Lie (formal) stability are presented. In particular, we provide stabili

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d1c2c7c5560c7be93765f2d9b890a8e
https://hdl.handle.net/2454/36709

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Singular reduction of resonant Hamiltonians

Autor: Jesús F. Palacián, Patricia Yanguas, Kenneth R. Meyer

This is an author-created, un-copyedited version of an article accepted for publication/published in Nonlinearity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::67f6cbcd0e6f2cd03b75c0894aab814b
https://doi.org/10.1088/1361-6544/aab591

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Magnetic confinement of a neutral atom in a double-wire waveguide: A nonlinear dynamics approach

Autor: Víctor Lanchares, J. Pablo Salas, Manuel Iñarrea, Jesús F. Palacián, Patricia Yanguas

Publikováno v: Communications in Nonlinear Science and Numerical Simulation. 101:105662

In this paper we focus on the classical dynamics of a neutral atom trapped in a doublewire waveguide in the presence of two uniform bias fields. Because the trapping region takes place in a plane perpendicular to the (parallel) wires, the dynamics is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1966a6c0f09502e1182f3a9ade7615e3
https://doi.org/10.1016/j.cnsns.2020.105662

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Asymptotic stability estimates near an equilibrium point

Autor: H. Scott Dumas, Jesús F. Palacián, Patricia Yanguas, Kenneth R. Meyer

Publikováno v: Journal of Differential Equations. 263:1125-1139

We use the error bounds for adiabatic invariants found in the work of Chartier, Murua and Sanz-Serna [3] to bound the solutions of a Hamiltonian system near an equilibrium over exponentially long times. Our estimates depend only on the linearized sys

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::145a903ad022b3d8265bc3cdeb11695c
https://doi.org/10.1016/j.jde.2017.03.011

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Periodic Solutions and KAM Tori in a Triaxial Potential

Autor: Jhon Vidarte, Jesús F. Palacián, Claudio Vidal, Patricia Yanguas

Publikováno v: SIAM Journal on Applied Dynamical Systems. 16:159-187

The existence and stability of periodic solutions for an autonomous Hamiltonian system in 1:1:1 resonance depending on two real parameters $\alpha$ and $\beta$ is established using reduction and averaging theories. The different types of periodic sol

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::35c151867b57d85ff2cf1579f8cc074d
https://doi.org/10.1137/16m1082925

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On co-orbital quasi-periodic motion in the three-body problem

Autor: Patricia Yanguas, Josep M. Cors, Jesús F. Palacián

Publikováno v: Academica-e: Repositorio Institucional de la Universidad Pública de Navarra
Universidad Pública de Navarra
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat. Dipósit de la Recerca de Catalunya
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Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Within the framework of the planar three-body problem we establish the existence of quasi-periodic motions and KAM 4-tori related to the co-orbital motion of two small moons about a large planet where the moons move in nearly circular orbits with alm

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bbc66c59c8c9a75af725302895610da5
https://hdl.handle.net/2454/32505

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Effects of a soft-core coulomb potential on the dynamics of a hydrogen atom near a metal surface

Autor: J. Pablo Salas, Ana I. Pascual, Manuel Iñarrea, Jesús F. Palacián, Víctor Lanchares, Patricia Yanguas

The goal of this paper is to investigate the effects that the replacement of the Coulomb potential by a soft-core Coulomb potential produces in the classical dynamics of a perturbed Rydberg hydrogen atom. As example, we consider a Rydberg hydrogen at

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e519925f8eaa42bb746492c3b90897a7
https://hdl.handle.net/2454/30887

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