Relative equilibria and bifurcations in the generalized van der Waals 4D oscillator
type: Item
instance of: scholarly article
title: Relative equilibria and bifurcations in the generalized van der Waals 4D oscillator
zbMATH Open document ID: 1193.37075
author: J. Martínez
published in: Physica D
publication date: 2010-08-19T00:00:00Z
Mathematics Subject Classification ID: 37J20
zbMATH DE Number: 5773177
zbMATH Keywords: nonlinear Hamiltonian system
zbMATH Keywords: bifurcation
zbMATH Keywords: reduction
zbMATH Keywords: symmetry
zbMATH Keywords: Hamiltonian-Hopf bifurcation
zbMATH Keywords: van der Waals system
MaRDI profile type: Publication
OpenAlex ID: W1971087407
cites work: Hamiltonian fourfold \(1:1\) resonance with two rotational symmetries
cites work: Bifurcations of the Hamiltonian fourfold 1:1 resonance with toroidal symmetry
cites work: Moment polytopes for symplectic manifolds with monodromy
cites work: Regularization of kepler's problem and the averaging method on a manifold
cites work: Q2785808
cites work: Q4012890
cites work: Normalization and the detection of integrability: The generalized van der Waals potential
cites work: On the nonintegrability of the generalized van der Waals Hamiltonian system
cites work: Q4854246
cites work: Perturbation theory of Kepler motion based on spinor regularization.
cites work: Q3604229
cites work: Convexity and Commuting Hamiltonians
cites work: Convexity properties of the moment mapping
cites work: Q3696183
cites work: Hamiltoniens périodiques et images convexes de l'application moment
cites work: Q5285031
cites work: Generic bifurcation of Hamiltonian systems with symmetry. With an appendix by Jerrold Marsden
cites work: Q3604227
cites work: Painting the Phase Space Portrait of an Integrable Dynamical System
cites work: Stability of Hamiltonian relative equilibria
cites work: On the Hamiltonian Hopf bifurcations in the 3D Hénon-Heiles family
cites work: Q5394889
cites work: Q3452949
cites work: A degenerate bifurcation in the Hénon-Heiles family
cites work: Algebraic methods for determining Hamiltonian Hopf bifurcations in three-degree-of-freedom systems
DOI: 10.1016/J.PHYSD.2010.04.012
description: scientific article; zbMATH DE number 5773177