Relative periodic orbits of symmetric Lagrangian systems

James Montaldi; Freddy Dumortier; Andre Vanderbauwhede

Relative periodic orbits of symmetric Lagrangian systems

James Montaldi
, Freddy Dumortier (Editor)
, Andre Vanderbauwhede (Editor)

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

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Abstract

We announce two topological results that may be used to estimate the number ofrelative periodic orbits of different homotopy classes that are possessed by a symmetricLagrangian system. The results are illustrated by applications to systemson tori and to strong force N-centre problems.

Original language	English
Title of host publication	EQUADIFF 2003
Editors	Freddy Dumortier, Andre Vanderbauwhede
Publisher	World Scientific Publishing Co. Pte. Ltd
Publication status	Published - 2005
Event	EQUADIFF 2003 - Duration: 22 Jul 2003 → 26 Jul 2003

Conference

Conference	EQUADIFF 2003
Period	22/07/03 → 26/07/03

Keywords

Periodic orbits, symmetry, Lagrangian systems

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@inproceedings{18b61ee01a1f4440a47b3128616e2bd2,

title = "Relative periodic orbits of symmetric Lagrangian systems",

abstract = "We announce two topological results that may be used to estimate the number ofrelative periodic orbits of different homotopy classes that are possessed by a symmetricLagrangian system. The results are illustrated by applications to systemson tori and to strong force N-centre problems.",

keywords = "Periodic orbits, symmetry, Lagrangian systems",

author = "James Montaldi and Freddy Dumortier and Andre Vanderbauwhede",

year = "2005",

language = "English",

editor = "Freddy Dumortier and Andre Vanderbauwhede",

booktitle = "EQUADIFF 2003",

publisher = "World Scientific Publishing Co. Pte. Ltd",

address = "Singapore",

note = "EQUADIFF 2003 ; Conference date: 22-07-2003 Through 26-07-2003",

}

TY - GEN

T1 - Relative periodic orbits of symmetric Lagrangian systems

AU - Montaldi, James

A2 - Dumortier, Freddy

A2 - Vanderbauwhede, Andre

A2 - Dumortier, Freddy

A2 - Vanderbauwhede, Andre

PY - 2005

Y1 - 2005

N2 - We announce two topological results that may be used to estimate the number ofrelative periodic orbits of different homotopy classes that are possessed by a symmetricLagrangian system. The results are illustrated by applications to systemson tori and to strong force N-centre problems.

AB - We announce two topological results that may be used to estimate the number ofrelative periodic orbits of different homotopy classes that are possessed by a symmetricLagrangian system. The results are illustrated by applications to systemson tori and to strong force N-centre problems.

KW - Periodic orbits, symmetry, Lagrangian systems

M3 - Conference contribution

BT - EQUADIFF 2003

PB - World Scientific Publishing Co. Pte. Ltd

T2 - EQUADIFF 2003

Y2 - 22 July 2003 through 26 July 2003

ER -

Relative periodic orbits of symmetric Lagrangian systems

Abstract

Conference

Keywords

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