On normal forms in Hamiltonian dynamics, a new approach to some convergence questions

DOI10.1017/S0143385700008233zbMath0820.58052MaRDI QIDQ4324892

David DeLatte

Publication date: 2 March 1995

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

conjugacyconvergence of solutionsHamiltonian dynamics

Mathematics Subject Classification ID

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

Related Items (8)

Global normal form and asymptotic spectral gap for open partially expanding maps ⋮ A pseudo-normal form for planar vector fields. ⋮ Systems of Transversal Sections near Critical Energy Levels of Hamiltonian Systems in ℝ⁴ ⋮ Semi-classical formula beyond the Ehrenfest time in quantum chaos. I: Trace formula ⋮ Local analytic reduction of families of diffeomorphisms ⋮ Pseudo-normal form near saddle-center or saddle-focus equilibria ⋮ Slow-fast hamiltonian dynamics near a ghost separatix loop ⋮ On the multiplicity of periodic orbits and homoclinics near critical energy levels of Hamiltonian systems in $\mathbb {R}^4$

Cites Work

• Unnamed Item
• Normal forms for real surfaces in \(C^ 2\) near tangents and hyperbolic surface transformations
• The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
• Vereinfachter beweis eines satzes von J. Moser
• On the generalization of a theorem of A. Liapounoff
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS

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