Nekhoroshev theorem for perturbations of the central motion

DOI10.1134/S1560354717010026zbMath1384.37074arXiv1610.02262OpenAlexW3106015037MaRDI QIDQ1707950

Dario Bambusi, Alessandra Fusè

Publication date: 4 April 2018

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.02262

zbMATH Keywords

central motionHamiltonian dynamicsNekhoroshev theorem

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Kinematics of a particle (70B05)

Related Items (4)

Exponential stability in the perturbed central force problem ⋮ Semi-analytical estimates for the orbital stability of Earth's satellites ⋮ PERIODIC AND QUASI-PERIODIC SOLUTIONS FOR THE COMPLEX SWIFT-HOHENBERG EQUATION ⋮ On the stable eigenvalues of perturbed anharmonic oscillators in dimension two

Cites Work

• Unnamed Item
• Unnamed Item
• The steep Nekhoroshev's theorem
• Freezing of energy of a soliton in an external potential
• Multiphase averaging for classical systems. With applications to adiabatic theorems. Transl. from the French by H. S. Dumas
• Generalized Liouville method of integration of Hamiltonian systems
• Construction of a Nekhoroshev like result for the asteroid belt dynamical system
• Hamiltonian perturbation theory on a manifold
• Hamiltonian stability and subanalytic geometry
• Superintegrable Hamiltonian systems: Geometry and perturbations
• A geometric setting for Hamiltonian perturbation theory
• A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems
• On global action-angle coordinates
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
• Complex analysis and convolution operators
• Exponential stability for small perturbations of steep integrable Hamiltonian systems
• Sur le théorème de Bertrand (d'après Michael Herman)

This page was built for publication: Nekhoroshev theorem for perturbations of the central motion