Area-preserving normalizations for centers of planar Hamiltonian systems

DOI10.1006/jdeq.2001.4036zbMath1010.34030OpenAlexW2043442376MaRDI QIDQ1598391

Francesc Mañosas, Jordi Villadelprat

Publication date: 30 April 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4036

zbMATH Keywords

normal formordinary differential equationHamiltonian systemcenter pointperiod functioncanonical normal form

Mathematics Subject Classification ID

Related Items (8)

Isochronicity for trivial quintic and septic planar polynomial Hamiltonian systems ⋮ The local period function for Hamiltonian systems with applications ⋮ The period function of Hamiltonian systems with separable variables ⋮ The extended 16th Hilbert problem for a class of discontinuous piecewise differential systems ⋮ On the Topology of Isochronous Centers of Hamiltonian Differential Systems ⋮ Linearizability of planar polynomial Hamiltonian systems ⋮ Nonexistence of isochronous centers in planar polynomial Hamiltonian systems of degree four ⋮ Isochronicity and linearizability of planar polynomial Hamiltonian systems

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• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• On analytical properties of normal forms
• Generic Hamiltonian dynamical systems are neither integrable nor ergodic
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