Umbilical torus bifurcations in Hamiltonian systems

DOI10.1016/j.jde.2005.06.030zbMath1085.37048OpenAlexW2039380497MaRDI QIDQ818451

Jiangong You, Heinz Hanßmann, Henk W. Broer

Publication date: 20 March 2006

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://pure.rug.nl/ws/files/2831569/2006JDiffEqBroer.pdf

zbMATH Keywords

KAM theorysingularity theorygyrostatHamiltonian dynamical systemlower dimensional torusmultiparameter bifurcationsumbilical catastrophe

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical systems in classical and celestial mechanics (37N05) Catastrophe theory (58K35) Motion of the gyroscope (70E05)

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