The quasi-periodic centre-saddle bifurcation

DOI10.1006/jdeq.1997.3365zbMath0936.37028OpenAlexW2148714233MaRDI QIDQ1268559

Heinz Hanßmann

Publication date: 22 May 2000

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

Full work available at URL: https://doi.org/10.1006/jdeq.1997.3365

zbMATH Keywords

rigid body dynamicsHamiltonian systemsCantor setsinvariant toriEuler topKAM-theoryhyperbolic toricenter-saddle bifurcationdiophantine frequencyelliptic tori

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical systems in classical and celestial mechanics (37N05)

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