New aspects on the geometry and dynamics of quadratic Hamiltonian systems on \((\mathfrak {so}(3))^*\)
type: Item
instance of: scholarly article
zbMATH Open document ID: 1326.70027
DOI: 10.1142/S0219887811005889
author: Cora Dăniasă
author: Anania Gĩrban
author: Răzvan M. Tudoran
published in: International Journal of Geometric Methods in Modern Physics
publication date: 2012-06-13T00:00:00Z
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 70H14
Mathematics Subject Classification ID: 70G45
Mathematics Subject Classification ID: 70K44
zbMATH DE Number: 6046006
zbMATH Keywords: energy-Casimir mapping
zbMATH Keywords: stability theory
zbMATH Keywords: periodic orbits
zbMATH Keywords: heteroclinic orbits
zbMATH Keywords: Whitney stratifications
zbMATH Keywords: integrability
zbMATH Keywords: Poisson dynamics
MaRDI profile type: Publication
cites work: QUADRATIC AND HOMOGENEOUS HAMILTON–POISSON SYSTEM ON (so(3))
cites work: Euler equations on finite dimensional Lie algebras arising in physical problems
cites work: Integrable Euler equations on SO(4) and their physical applications
cites work: Nonlinear stability of fluid and plasma equilibria
cites work: Matrix Analysis
cites work: Classical and quantum dynamics for an extended free rigid body
cites work: Lectures on Mechanics
cites work: Analytic and geometric study of stratified spaces
cites work: Q3870362
cites work: Normal modes for nonlinear Hamiltonian systems
Recommended article: QUADRATIC AND HOMOGENEOUS HAMILTON–POISSON SYSTEM ON (so(3))
Recommended article: On a class of three-dimensional quadratic Hamiltonian systems
Recommended article: Q5252518
Recommended article: Q3009265
Recommended article: On the Hamiltonian dynamics and geometry of the Rabinovich system
Recommended article: Geometrical aspects of the hamiltonization problem of dynamical systems
Recommended article: Q3317408
Recommended article: On bi-Hamiltonian geometry of some integrable systems on the sphere with cubic integral of motion
Recommended article: Q3005225
Recommended article: Geometric structure of ``broadly integrable'' Hamiltonian systems
title: New aspects on the geometry and dynamics of quadratic Hamiltonian systems on \((\mathfrak {so}(3))^*\)
description: scientific article; zbMATH DE number 6046006