Relative equilibria, stability and bifurcations in Hamiltonian galactic tidal models

DOI10.1080/14689367.2020.1792841zbMath1471.37074OpenAlexW3041038180MaRDI QIDQ4994900

Francisco Crespo, Jorge L. Zapata, Sebastián Ferrer

Publication date: 22 June 2021

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2020.1792841

zbMATH Keywords

relative equilibriaperiodic orbitsreductionnormalizationDelaunay variables

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) Galactic and stellar dynamics (85A05) Dynamical systems in classical and celestial mechanics (37N05) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (1)

Symmetric periodic orbits in the Hamiltonian galactic-tidal models

Cites Work

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• Poisson and integrable systems through the Nambu bracket and its Jacobi multiplier
• Singularites \(C^\infty\) en presence de symétrie. En particulier en presence de la symétrie d'un groupe de Lie compact
• Periodic Solutions in Hamiltonian Systems, Averaging, and the Lunar Problem
• Reduction, Brouwer's Hamiltonian, and the critical inclination
• Canonical transformations depending on a small parameter

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