On a variant of Hilbert's 16th problem
DOI10.1088/1361-6544/AD8C1BMaRDI QIDQ6637393
Armengol Gasull, Paulo Santana
Publication date: 13 November 2024
Published in: Nonlinearity (Search for Journal in Brave)
Bifurcation theory for ordinary differential equations (34C23) 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)
Cites Work
- Title not available (Why is that?)
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- Lower bounds for the Hilbert number of polynomial systems
- A cubic system with thirteen limit cycles
- Newton polyhedra and toroidal varieties
- On the Multi holiness of plane algebraic curves.
- Mathematical problems for the next century
- Foundations of chemical reaction network theory
- Planar S-systems: permanence
- Planar S-systems: global stability and the center problem
- Perturbation from an elliptic Hamiltonian of degree four. IV: Figure eight-loop.
- Simplest dissipative chaotic flow.
- Real algebraic curves, the moment map and amoebas
- Singular points and limit cycles of planar polynomial vector fields
- Limit cycles for some families of smooth and non-smooth planar systems
- Dynamic aspects of Sprott BC chaotic system
- Some open problems in low dimensional dynamical systems
- Uniqueness of the limit cycles for complex differential equations with two monomials
- Asymptotic lower bounds on Hilbert numbers using canard cycles
- Limit cycles for 3-monomial differential equations
- An equation for continuous chaos
- Generalized Mass-Action Systems and Positive Solutions of Polynomial Equations with Real and Symbolic Exponents (Invited Talk)
- The Center and Cyclicity Problems
- Deterministic Nonperiodic Flow
- New lower bounds for the Hilbert numbers using reversible centers
- Polynomial systems: a lower bound for the Hilbert numbers
- Tropical algebraic geometry
- Perturbations from an elliptic Hamiltonian of degree four. II: Cuspidal loop
- Limit Cycles of Differential Equations
- Efficient and validated numerical evaluation of abelian integrals
- Topological equivalence at infinity of a planar vector field and its principal part defined through Newton polytope
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