On the period function of planar systems with unknown normalizers
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Publication:5705563
DOI10.1090/S0002-9939-05-08032-9zbMath1093.34014MaRDI QIDQ5705563
Publication date: 9 November 2005
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)
Related Items (10)
Bifurcation of Critical Periods from a Quartic Isochronous Center ⋮ Geometric tools to determine the hyperbolicity of limit cycles ⋮ Monotonicity of the period function for \(u-u+u^p=0\) with \(p\in \mathbb R\) and \(p>1\) ⋮ The period functions' higher order derivatives ⋮ Bifurcation of critical periods from the rigid quadratic isochronous vector field ⋮ On the critical points of the flight return time function of perturbed closed orbits ⋮ 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 ⋮ Isochronicity and commutation of polynomial vector fields
Cites Work
- The monotonicity of the period function for planar Hamiltonian vector fields
- On period functions of Liénard systems
- Characterizing isochronous centres by Lie brackets
- On the period function of \(x^{\prime\prime}+f(x)x^{\prime2}+g(x)=0\)
- Period function for a class of Hamiltonian systems
- First derivative of the period function with applications
- Linearization of isochronous centers
- The periods of the Volterra-Lotka system.
- A class of Hamiltonian systems with increasing periods.
- Bifurcation of Critical Periods for Plane Vector Fields
- Remarks on Periods of Planar Hamiltonian Systems
- ISOCHRONOUS SECTIONS VIA NORMALIZERS
- Characterization of isochronous foci for planar analytic differential systems
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