Bridges between the generalized Sitnikov family and the Lyapunov family of periodic orbits

DOI10.1006/jdeq.1998.3565zbMath0940.34024OpenAlexW2026730372MaRDI QIDQ1288867

Jaume Llibre, Kenneth R. Meyer, Jaume Soler

Publication date: 19 July 2000

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

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3565

zbMATH Keywords

restricted three body problemfamilies of periodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Three-body problems (70F07) Bifurcation theory for ordinary differential equations (34C23)

Related Items (1)

Isolating blocks as computational tools in the circular restricted three-body problem

Cites Work

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• Applications of centre manifold theory
• On the families of periodic orbits which bifurcate from the circular Sitnikov motions
• A new class of periodic solutions in the restricted three body problem
• Stable and Random Motions in Dynamical Systems
• Periodic solutions near a resonant equilibrium of a Hamiltonian system
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
• QUASIRANDOM DYNAMICAL SYSTEMS. I. QUASIRANDOM DIFFEOMORPHISMS
• ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES
• Probleme General de la Stabilite du Mouvement. (AM-17)
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

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