Periodic orbits in a Hamiltonian system of stellar type
DOI10.1016/J.PHYSD.2024.134261MaRDI QIDQ6584189
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Publication date: 6 August 2024
Published in: Physica D (Search for Journal in Brave)
bifurcationsaveragingReeb's theoremquartic potentialsnormalization and reductionreduced space and invariantsperiodic orbits and linear stabilityresonant Hamiltonians and 1:1 resonance
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nonlinear resonances for nonlinear problems in mechanics (70K30) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Averaging of perturbations for nonlinear problems in mechanics (70K65) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)
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