Local analysis of formal stability and existence of fixed points in 4d symplectic mappings

DOI10.1016/0167-2789(95)00290-1zbMath0890.58033OpenAlexW2109486938WikidataQ127706327 ScholiaQ127706327MaRDI QIDQ1919652

Ezio Todesco

Publication date: 23 July 1996

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00290-1

zbMATH Keywords

stabilityfixed pointsnormal formssymplectic mappings

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Stability theory for smooth dynamical systems (37C75)

Related Items (3)

Dynamics of 4D symplectic maps near a double resonance ⋮ Elliptic Bubbles in Moser's 4D Quadratic Map: The Quadfurcation ⋮ Global structure of regular tori in a generic 4D symplectic map

Uses Software

• ARES

Cites Work

• Nekhoroshev estimate for isochronous non resonant symplectic maps
• Chaos in the 1:2:3 Hamiltonian normal form
• Theoretical periodic orbits in 3-dimensional Hamiltonians
• Number theory and physics. Proceedings of the winter school, Les Houches, France, March 7--16, 1989
• A program to compute Birkhoff normal forms of symplectic maps in \(\mathbb{R}^ 4\)
• Resonant normal forms, interpolating Hamiltonians and stability analysis of area preserving maps
• The normal form of a Hamiltonian system
• Normal forms for symplectic maps of R2n
• INSTABILITY IN A HAMILTONIAN SYSTEM AND THE DISTRIBUTION OF ASTEROIDS
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