Numerical continuation of Hamiltonian relative periodic orbits
type: Item
instance of: scholarly article
title: Numerical continuation of Hamiltonian relative periodic orbits
zbMATH Open document ID: 1168.37014
author: Claudia Wulff
author: Andreas Schebesch
published in: Journal of Nonlinear Science
publication date: 2009-05-08T00:00:00Z
full work available at URL: WulffSchebesch.pdf
review text: The methods presented in this article are a first step toward a systematic numerical analysis of generic bifurcations of Hamiltonian symmetric periodic orbits and relative periodic orbits (RPOs). After short introduction showing how to numerically exploit spatio-temporal symmetries of Hamiltonian periodic orbits and describing the modification of their previous results on RPOs in a symmetry breaking bifurcation in Hamiltonian systems [SIAM J. Appl. Dyn. Syst. 5, No. 3, 435--475 (2006; Zbl 1210.37034)], the authors present an algorithm for the numerical continuation of non-degenerate Hamiltonian relative PROs with a regular drift-momentum pair with applications to rotating choreographics in the three-body problem.
reviewed by: Irina V. Konopleva
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 37J20
Mathematics Subject Classification ID: 37M20
Mathematics Subject Classification ID: 70H33
zbMATH DE Number: 5552198
zbMATH Keywords: bifurcation theory
zbMATH Keywords: numerics of periodic orbits
zbMATH Keywords: Hamiltonian systems
describes a project that uses: NewtonLib
describes a project that uses: ALCON
MaRDI profile type: Publication
OpenAlex ID: W1972613963
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DOI: 10.1007/S00332-008-9026-X
description: scientific article; zbMATH DE number 5552198