Straighten out coordinates for volume-preserving actions

DOI10.1007/s00013-019-01354-1zbMath1422.37011OpenAlexW2954215223MaRDI QIDQ2274013

Pedro Morais, Mário Bessa

Publication date: 19 September 2019

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-019-01354-1

zbMATH Keywords

foliationsdivergence-free \(\mathbb{R}^n\)-actionsflowbox coordinates

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Geometric methods in ordinary differential equations (34A26) Dynamics induced by flows and semiflows (37C10) Foliations in differential topology; geometric theory (57R30)

Cites Work

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• On a partial differential equation involving the Jacobian determinant
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
• On the Hamiltonian flow box theorem
• Generic dynamics of 4-dimensional \(C^{2}\) Hamiltonian systems
• Representation of divergence-free vector fields
• Removing zero Lyapunov exponents in volume-preserving flows
• The Lyapunov exponents of generic zero divergence three-dimensional vector fields

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