New family of abelian integrals satisfying Chebyshev property
DOI10.1016/j.jde.2019.11.060zbMath1464.34056OpenAlexW2992651266WikidataQ126667246 ScholiaQ126667246MaRDI QIDQ2306682
Changjian Liu, Yulin Zhao, Xiuli Cen
Publication date: 24 March 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2019.11.060
Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)
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Cites Work
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- On the number of limit cycles for perturbed pendulum equations
- Abelian integrals in unfoldings of codimension 3 singularities with nilpotent linear parts
- Bounding the number of zeros of certain abelian integrals
- A new Chebyshev family with applications to Abel equations
- Chebyshev property of complete elliptic integrals and its application to Abelian integrals.
- Limit cycles of differential equations
- Birth of canard cycles
- Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields
- Linear estimate of the number of zeros of Abelian integrals for a kind of quartic Hamiltonians
- Perturbations of quadratic centers
- On the Chebyshev property of certain abelian integrals near a polycycle
- On the Lambert \(w\) function
- Two-dimensional Fuchsian systems and the Chebyshev property.
- Computer-assisted techniques for the verification of the Chebyshev property of abelian integrals
- Perturbation theory of a symmetric center within Liénard equations
- On extended Chebyshev systems with positive accuracy
- Limit cycles bifurcated from a reversible quadratic center
- Limit cycles bifurcated from some reversible quadratic centres with a non-algebraic first integral
- A Chebyshev criterion for Abelian integrals
- Bifurcation of critical periods from Pleshkan's isochrones
- Centennial History of Hilbert's 16th Problem
- Abelian integrals and limit cycles
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