On the reducibility of a class of quasi-periodic Hamiltonian systems with small perturbation parameter near the equilibrium

DOI10.1007/s12346-015-0164-xzbMath1387.37054OpenAlexW1848903970MaRDI QIDQ1707523

Jia Li, Shou-Ting Chen, Chunpeng Zhu

Publication date: 3 April 2018

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-015-0164-x

zbMATH Keywords

reducibilityHamiltonian systemquasi-periodicityKAM iterationmultiple eigenvalues

Mathematics Subject Classification ID

Related Items (4)

Reducible problem for a class of almost-periodic non-linear Hamiltonian systems ⋮ On the reducibility of a class of almost periodic Hamiltonian systems ⋮ Reducibility of a class of 2k-dimensional Hamiltonian systems with quasi-periodic coefficients ⋮ Reducibility for a class of nonlinear quasi-periodic systems under Brjuno-Russmann's non-resonance conditions

Cites Work

• Unnamed Item
• On the reducibility for a class of quasi-periodic Hamiltonian systems with small perturbation parameter
• On the reducibility of a class of nonlinear quasi-periodic system with small perturbation parameter near zero equilibrium point
• Full measure reducibility for generic one-parameter family of quasi-periodic linear systems
• Smoothness of spectral subbundles and reducibility of quasi periodic linear differential systems
• On the reducibility of linear differential equations with quasiperiodic coefficients
• Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
• On the persistence of lower dimensional invariant tori under quasi-periodic perturbations
• On the reducibility of a class of finitely differentiable quasi-periodic linear systems
• On Quasi-Periodic Perturbations of Elliptic Equilibrium Points
• On the reducibility of a class of linear differential equations with quasiperiodic coefficients

This page was built for publication: On the reducibility of a class of quasi-periodic Hamiltonian systems with small perturbation parameter near the equilibrium