The normal form of a Hamiltonian system

DOI10.1070/RM1988v043n01ABEH001552zbMath0656.70017OpenAlexW2028704391MaRDI QIDQ3804268

Alexander D. Bruno

Publication date: 1988

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1988v043n01abeh001552

zbMATH Keywords

linear HamiltonianHamilton systemlinear canonical transformationlinear normalization

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (11)

New cases of quasiperiodic motions in reversible systems ⋮ On convergence of normal forms for complex frequencies ⋮ Adiabatic and post-adiabatic representations for multichannel Schrödinger equations ⋮ Two-dimensional homogeneous cubic systems: classification and normal forms. I ⋮ Local analysis of formal stability and existence of fixed points in 4d symplectic mappings ⋮ On linear equations of dynamics ⋮ Reversible linear reversible systems and their versal deformations ⋮ Normal forms for three-parameter families of area-preserving maps near an elliptic fixed point ⋮ Subharmonics near an equilibrium point for Hamiltonian systems ⋮ On the construction of real canonical forms of Hamiltonian matrices whose spectrum is an imaginary pair ⋮ An algorithm to generate canonical transformations: Application to normal forms

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