On the existence of doubly symmetric "schubart-like" periodic orbits

Regina Martínez

doi:10.3934/dcdsb.2012.17.943

On the existence of doubly symmetric "schubart-like" periodic orbits

Regina Martínez

Departamento de Matemáticas

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

8 Citas (Scopus)

Resumen

We give sufficient conditions to ensure the existence of symmetrical periodic orbits for a class of Hamiltonian systems having some singularities. The results are applied to different subproblems of the gravitational n-body problem where singularities appear due to collisions.

Idioma original	Inglés
Páginas (desde-hasta)	943-975
Publicación	Discrete and Continuous Dynamical Systems - Series B
Volumen	17
DOI	https://doi.org/10.3934/dcdsb.2012.17.943
Estado	Publicada - 1 may 2012

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title = "On the existence of doubly symmetric {"}schubart-like{"} periodic orbits",

abstract = "We give sufficient conditions to ensure the existence of symmetrical periodic orbits for a class of Hamiltonian systems having some singularities. The results are applied to different subproblems of the gravitational n-body problem where singularities appear due to collisions.",

keywords = "Collisions, N-body problem, Qualitative methods, Symmetric periodic orbits",

author = "Regina Mart{\'i}nez",

year = "2012",

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doi = "10.3934/dcdsb.2012.17.943",

language = "English",

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AB - We give sufficient conditions to ensure the existence of symmetrical periodic orbits for a class of Hamiltonian systems having some singularities. The results are applied to different subproblems of the gravitational n-body problem where singularities appear due to collisions.

KW - Collisions

KW - N-body problem

KW - Qualitative methods

KW - Symmetric periodic orbits

UR - https://www.scopus.com/pages/publications/84856195020

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DO - 10.3934/dcdsb.2012.17.943

M3 - Article

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JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

ER -

On the existence of doubly symmetric "schubart-like" periodic orbits

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