Bifurcations in biparametric quadratic potentials. II

DOI10.1063/1.166124zbMath1056.37506OpenAlexW2058298749WikidataQ73464713 ScholiaQ73464713MaRDI QIDQ4526336

Victor Lanchares, Antonio Elipe

Publication date: 16 January 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.166124

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcation theory for ordinary differential equations (34C23) Hamilton's equations (70H05) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

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Cites Work

• Hamiltonian chaos in nonlinear optical polarization dynamics
• The Lissajous transformation. III: Parametric bifurcations
• Biparametric quadratic Hamiltonians on the unit sphere: Complete classification
• Painting the Phase Space Portrait of an Integrable Dynamical System
• The critical inclination in artificial satellite theory
• Bifurcations in biparametric quadratic potentials