The closed orbits of a class of cubic vector fields in \(\mathbb{R}^3\)
DOI10.1007/s10114-020-6350-zzbMath1467.34037OpenAlexW3113433153MaRDI QIDQ1995613
Hong Yan Yin, Da Zhou, Xing An Zhang
Publication date: 24 February 2021
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-020-6350-z
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) Invariant manifolds for ordinary differential equations (34C45)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Three limit cycles for a three-dimensional Lotka-Volterra competitive system with a heteroclinic cycle
- Estimating the number of limit cycles in polynomial systems
- A cubic system with thirteen limit cycles
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- On the number of solutions of the equation \(\sum^n_{j=0}a_j(t)x^j,0\leq t\leq 1\), for which \(x(0)=x(1)\)
- Global topological properties of homogeneous vector fields in \(R^3\)
- Asymptotic analysis of interactions between highly conducting cylinders
- Five limit cycles for a simple cubic system
- Quadratic-like cubic systems
- Some lower bounds for \(H(n)\) in Hilbert's 16th problem
- Limit cycles for the competitive three dimensional Lotka-Volterra system
- Limit cycles of a cubic Kolmogorov system
- The global dynamics of a class of vector fields in \(\mathbb R^3\)
- Extended quasi-homogeneous polynomial system in \({\mathbb{R}^{3}}\)
- Limit cycles for a class of three-dimensional polynomial differential systems
- A Two-Strain Tuberculosis Model with Age of Infection
This page was built for publication: The closed orbits of a class of cubic vector fields in \(\mathbb{R}^3\)
