Generating hyperbolic singularities in semitoric systems via Hopf bifurcations

DOI10.1007/s00332-016-9290-0zbMath1369.37066arXiv1503.01534OpenAlexW3101667696MaRDI QIDQ295321

Álvaro Pelayo, Holger R. Dullin

Publication date: 13 June 2016

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

Full work available at URL: https://arxiv.org/abs/1503.01534

zbMATH Keywords

integrable Hamiltonian systemHamiltonian Hopf bifurcationsemitoric system

Mathematics Subject Classification ID

Related Items (13)

Non-formally integrable centers admitting an algebraic inverse integrating factor ⋮ Hamiltonian monodromy and Morse theory ⋮ The harmonic Lagrange top and the confluent Heun equation ⋮ Symplectic and inverse spectral geometry of integrable systems: a glimpse and open problems ⋮ Constructions of b-semitoric systems ⋮ The affine invariant of proper semitoric integrable systems ⋮ Recent advances in the monodromy theory of integrable Hamiltonian systems ⋮ Symplectic invariants of semitoric systems and the inverse problem for quantum systems ⋮ Characterization of toric systems via transport costs ⋮ A family of compact semitoric systems with two focus-focus singularities ⋮ Minimal models of compact symplectic semitoric manifolds ⋮ Symplectic classification of coupled angular momenta ⋮ Existence of a smooth Hamiltonian circle action near parabolic orbits and cuspidal tori

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