The monotonicity of ratios of some abelian integrals
DOI10.1016/j.bulsci.2020.102934zbMath1479.34062OpenAlexW3105636677WikidataQ114202574 ScholiaQ114202574MaRDI QIDQ2220332
Publication date: 22 January 2021
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.bulsci.2020.102934
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the number of zeros of abelian integral for some Liénard system of type \((4,3)\)
- On the number of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems with one nilpotent saddle
- Normal forms, Melnikov functions and bifurcations of limit cycles
- The monotonicity of the ratio of hyperelliptic integrals
- A complete algorithm for automated discovering of a class of inequality-type theorems
- Elliptic integrals and their nonoscillation
- Decomposing polynomial systems into simple systems
- On the nonoscillation of elliptic integrals
- Linear estimate of the number of zeros of Abelian integrals for a kind of quartic Hamiltonians
- Perturbation from an elliptic Hamiltonian of degree four. III: global centre.
- Perturbation from an elliptic Hamiltonian of degree four. IV: Figure eight-loop.
- A criterion for determining the monotonicity of the ratio of two Abelian integrals
- The monotonicity of the ratio of two Abelian integrals
- A Chebyshev criterion for Abelian integrals
- Complete hyperelliptic integrals of the first kind and their non-oscillation
- Abelian integrals and limit cycles
- Perturbations from an elliptic Hamiltonian of degree four. II: Cuspidal loop
- Perturbations from an elliptic Hamiltonian of degree four. I: Saddle loop and two saddle cycles
This page was built for publication: The monotonicity of ratios of some abelian integrals