Analytic continuation of quasi-periodic orbits from nonlinear periodic modes

DOI10.1007/BF00691938zbMath0783.70017OpenAlexW1995956019MaRDI QIDQ1311447

Michael E. Hough

Publication date: 20 March 1994

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00691938

zbMATH Keywords

existenceboundednessnonlinear stabilityJacobi integralseries expansionsrotating coordinatestwo degree-of-freedom system

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Integral surfaces with space-time coordinates, in the gravitational field of a rotating system

Cites Work

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• Methods of nonlinear analysis. Vol. 1
• Analytic continuation of periodic orbits from equilibria of two-degree- of-freedom systems in rotating coordinates
• Intrinsic stability of periodic orbits
• On the stability of small quasiperiodic motions in the hamiltonian systems
• Stirring by chaotic advection
• The Trojan Manifold — Survey and Conjectures

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