Perturbed Euler top and bifurcation of limit cycles on invariant Casimir surfaces

DOI10.1016/j.physd.2010.04.013zbMath1207.37038arXiv1910.07264OpenAlexW2020960596MaRDI QIDQ1957103

Isaac A. García, Benito Hernández-Bermejo

Publication date: 24 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.07264

zbMATH Keywords

perturbation theorylimit cycleHamiltonian systemPoisson systemCasimir invariantPoincaré-Pontryagin theory

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items

Numerical methods preserving multiple Hamiltonians for stochastic Poisson systems ⋮ Poisson systems as the natural framework for additional first integrals via Darboux invariant hypersurfaces ⋮ Bifurcations of limit cycles of perturbed completely integrable systems ⋮ Inverse Jacobi multiplier as a link between conservative systems and Poisson structures ⋮ New global solutions of the Jacobi partial differential equations ⋮ Generalization of the separation of variables in the Jacobi identities for finite-dimensional Poisson systems ⋮ Periodic orbits in analytically perturbed Poisson systems ⋮ Perturbed rank 2 Poisson systems and periodic orbits on Casimir invariant manifolds

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