Cotangent bundle reduction and Poincare-Birkhoff normal forms
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Dosyalar
Tarih
2014
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper we study a systematic and natural construction of canonical coordinates for the reduced space of a cotangent bundle with a free Lie group action. The canonical coordinates enable us to compute Poincare-Birkhoff normal forms of relative equilibria using standard algorithms. The case of simple mechanical systems with symmetries is studied in detail. As examples we compute Poincare-Birkhoff normal forms for a Lagrangian equilateral triangle configuration of a three-body system with a Morse-type potential and the stretched-out configuration of a double spherical pendulum. (C) 2013 Elsevier B.V. All rights reserved.
Açıklama
Anahtar Kelimeler
Symplectic reduction, Hamiltonian systems, Relative equilibria, Relative Equilibria, Phase-Space, Internal Motions, Systems, Stability, Symmetry, Orbits, Energy
Kaynak
Physica D-Nonlinear Phenomena
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
268
