Normal form theory for volume preserving maps

DOI10.1007/BF00914358zbMath0786.34037OpenAlexW2074280091MaRDI QIDQ1209753

Armando Bazzani

Publication date: 16 May 1993

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00914358

zbMATH Keywords

normal formasymptotic naturevolume preserving maps

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05)

Related Items

Topological conjugacy of piecewise monotonic functions of nonmonotonicity height \(\geq 1\) ⋮ Normal forms of maps: Formal and algebraic aspects ⋮ Topological conjugacy of PM functions with height equaling ∞ ⋮ First numerical investigation of a conjecture by N. N. Nekhoroshev about stability in quasi-integrable systems ⋮ Heteroclinic primary intersections and codimension one Melnikov method for volume-preserving maps

Cites Work

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• Über die Normalform analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung
• Stable and Random Motions in Dynamical Systems
• Representation of volume-preserving maps induced by solenoidal vector fields
• Normal forms for symplectic maps of R2n
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
• Unfoldings and bifurcations of quasi-periodic tori

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