A characterization of isochronous centres in terms of symmetries.

DOI10.4171/RMI/386zbMath1087.34010OpenAlexW1994645537MaRDI QIDQ1880523

Armengol Gasull, Antoni Guillamon, Emilio Freire

Publication date: 28 September 2004

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39635

zbMATH Keywords

isochronous centresquadratic-like Hamiltonian systems

Mathematics Subject Classification ID

Related Items (15)

First derivative of the period function with applications ⋮ Isochronicity for a class of reversible systems ⋮ Limit cycles and Lie symmetries ⋮ On commuting vector fields and Darboux functions for planar differential equations ⋮ Limit Cycles of a Perturbation of a Polynomial Hamiltonian Systems of Degree 4 Symmetric with Respect to the Origin ⋮ Period function for perturbed isochronous centres. ⋮ On the critical points of the flight return time function of perturbed closed orbits ⋮ Linearization of analytic isochronous centers from a given commutator ⋮ Perturbed normalizers and Melnikov functions ⋮ On the critical periods of perturbed isochronous centers ⋮ Period function and normalizers of vector fields in \(\mathbb R^n\) with \(n - 1\) first integrals ⋮ From isochronous potentials to isochronous systems ⋮ New periodic recurrences with applications ⋮ On the number of critical periods for planar polynomial systems of arbitrary degree ⋮ Multi-scale analysis for highly anisotropic parabolic problems

Cites Work

• Unnamed Item
• Darboux linearization and isochronous centers with a rational first integral
• Isochronicity for several classes of Hamiltonian systems
• Nonlinear oscillations of fixed period
• On Lie's symmetries for planar polynomial differential systems
• Determination of a Potential from its Energy Levels and Undetectability of Quantization at High Energy
• Isochronicity via normal form

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