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

Departament de Matemàtiques

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

8 Cites (Scopus)

Resum

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	Anglès
Pàgines (de-a)	943-975
Revista	Discrete and Continuous Dynamical Systems - Series B
Volum	17
DOIs	https://doi.org/10.3934/dcdsb.2012.17.943
Estat de la publicació	Publicada - 1 de maig 2012

Accés al document

10.3934/dcdsb.2012.17.943

Altres arxius i enllaços

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

Com citar-ho

@article{25360dd2e9ec462880c71205fd3c54b1,

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",

month = may,

day = "1",

doi = "10.3934/dcdsb.2012.17.943",

language = "English",

volume = "17",

pages = "943--975",

journal = "Discrete and Continuous Dynamical Systems - Series B",

issn = "1531-3492",

publisher = "American Institute of Mathematical Sciences",

}

TY - JOUR

T1 - On the existence of doubly symmetric "schubart-like" periodic orbits

AU - Martínez, Regina

PY - 2012/5/1

Y1 - 2012/5/1

N2 - 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.

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

U2 - 10.3934/dcdsb.2012.17.943

DO - 10.3934/dcdsb.2012.17.943

M3 - Article

SN - 1531-3492

VL - 17

SP - 943

EP - 975

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

Resum

Accés al document

Altres arxius i enllaços

Fingerprint

Com citar-ho