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

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

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

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

Dynamics of a Rydberg hydrogen atom near a metal surface in the electron-extraction scheme

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

Publikováno v: Physics Letters A. 379:131-136

We study the classical dynamics of a Rydberg hydrogen atom near a metal surface in the presence of a constant electric field in the electron-extraction situation [1] , e.g., when the field attracts the electron to the vacuum. From a dynamical point o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::66e6e228a899ef5a2ef73ab051f7e611
https://doi.org/10.1016/j.physleta.2014.11.004

Influence of planetary oblateness on Keplerian dynamics in magnetospheres and existence of invariant tori

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

Publikováno v: Physica D: Nonlinear Phenomena. 241:1026-1042

The problem of the dynamics of a charged particle orbiting around a rotating magnetic planet is revisited, the goal being twofold. On the one hand the model takes into account, apart from the magnetic and the electric field, the gravitational potenti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6902cb03c8cce317b624d3546eb9b459
https://doi.org/10.1016/j.physd.2012.02.017

Determination of nonlinear stability for low order resonances by a geometric criterion

Autor: Ana I. Pascual, Víctor Lanchares, Antonio Elipe

Publikováno v: Regular and Chaotic Dynamics. 17:307-317

We consider the problem of stability of equilibrium points in Hamiltonian systems of two degrees of freedom under low order resonances. For resonances of order bigger than two there are several results giving stability conditions, in particular one b

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::935db812aeed855d7a90118f5473893e
https://doi.org/10.1134/s1560354712030070