Periodic orbits, invariant tori, and cylinders of Hamiltonian systems near integrable ones having a return map equal to the identity

DOI10.1063/1.3477937zbMath1312.70009OpenAlexW2057010872MaRDI QIDQ5253703

Ricardo Miranda Martins, Marco Antonio Teixeira, Jaume Llibre

Publication date: 27 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3477937

zbMATH Keywords

KAM theoryPoincaré-Birkhoff theorem

Mathematics Subject Classification ID

Related Items (5)

Unnamed Item ⋮ Bifurcation of piecewise smooth manifolds from 3D center-type vector fields ⋮ Limit cycles of linear vector fields on \(( \mathbb{S}^2)^m \times \mathbb{R}^N\) ⋮ An estimation for the number of limit cycles in a Liénard-like perturbation of a quadratic nonlinear center ⋮ Limit cycles for quadratic and cubic planar differential equations under polynomial perturbations of small degree

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Nonlinear differential equations and dynamical systems
• Multiphase averaging for classical systems. With applications to adiabatic theorems. Transl. from the French by H. S. Dumas
• Periodic solutions of nonlinear periodic differential systems with a small parameter
• Averaging methods in nonlinear dynamical systems
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
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