Period function for perturbed isochronous centres.
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Publication:1415977
DOI10.1007/BF02969341zbMath1087.34021MaRDI QIDQ1415977
Emilio Freire, Antoni Guillamon, Armengol Gasull
Publication date: 9 December 2003
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Periodic solutions to ordinary differential equations (34C25) Perturbations of ordinary differential equations (34D10)
Related Items (13)
First derivative of the period function with applications ⋮ Limit cycles and Lie symmetries ⋮ Orbital Linearization in the Quadratic Lotka–Volterra Systems Around Singular Points Via Lie Symmetries ⋮ Rigid centres on the center manifold of tridimensional differential systems ⋮ Bifurcation of critical periods from the rigid quadratic isochronous vector field ⋮ Lie symmetries for the orbital linearization of smooth planar vector fields around singular points ⋮ Critical periods of perturbations of reversible rigidly isochronous centers ⋮ Linearization of analytic isochronous centers from a given commutator ⋮ On the critical periods of perturbed isochronous centers ⋮ Critical periods of perturbations of reversible rigidly isochronous centers ⋮ Period function and normalizers of vector fields in \(\mathbb R^n\) with \(n - 1\) first integrals ⋮ The period function of reversible quadratic centers ⋮ Critical Period Bifurcation by Perturbing a Reversible Rigidly Isochronous Center with Multiple Parameters
Cites Work
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- The successive derivatives of the period function of a plane vector field
- The first derivative of the period function of a plane vector field
- Characterizing isochronous centres by Lie brackets
- A characterization of isochronous centres in terms of symmetries.
- Isochronous Centers in Planar Polynomial Systems
- Bifurcation of Critical Periods for Plane Vector Fields
- regularity properties of the period function near a center of a planar vector field
- Symmetries and differential equations
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