Periodic Solutions and KAM Tori in a Triaxial Potential

DOI10.1137/16M1082925zbMath1358.37100OpenAlexW2576417052MaRDI QIDQ2960079

Jhon Vidarte, Patricia Yanguas, Claudio Vidal, Jesús F. Palacián

Publication date: 7 February 2017

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1082925

zbMATH Keywords

periodic solutionsinvariantsreductionnormalizationKAM torigalactic potentialsReeb's theoremreduced spacepotentials from molecular physicsresonant Hamiltonians

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical systems in classical and celestial mechanics (37N05) Nearly integrable Hamiltonian systems, KAM theory (70H08) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items

Dynamics of axially symmetric perturbed Hamiltonians in 1:1:1 resonance ⋮ Bifurcation and number of periodic solutions of some \(2n\)-dimensional systems and its application ⋮ Symmetric periodic solutions of symmetric Hamiltonians in 1 : 1 resonance ⋮ Quasiperiodic Poincaré persistence at high degeneracy ⋮ Persistence of Lagrange invariant tori at tangent degeneracy ⋮ Periodic solutions, KAM tori and bifurcations in a cosmology-inspired potential

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