Improved accuracy of the Birkhoff-Gustavson normal form and its convergence properties

DOI10.1088/0305-4470/25/20/013zbMath0766.58049OpenAlexW2044235630MaRDI QIDQ4033647

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Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1088/0305-4470/25/20/013

zbMATH Keywords

Birkhoff-Gustavson normal formgeneralized Hénon-Heiles systemregular motionconvergent propertiesweakly unstable chaotic motion

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (7)

On the diagonalization of quantum Birkhoff–Gustavson normal form ⋮ A review of the ``Third integral ⋮ Asymptotic solution of the Hénon-Heiles Hamiltonian system ⋮ Analytical Lanczos method: Quantum eigenstates of anharmonic oscillators in one or more dimensions ⋮ Program for Birkhoff-Gustavson normal form for \(N\) degrees of freedom -- BIRKHOFF 1.2 ⋮ Special Features of Galactic Dynamics ⋮ Order and chaos in time periodic Hamiltonian systems

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