Nondegenerate centers and limit cycles of cubic Kolmogorov systems
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Publication:1640195
DOI10.1007/s11071-017-3883-5zbMath1390.37082OpenAlexW2766045531MaRDI QIDQ1640195
Jaume Giné, Antonio Algaba, Cristóbal García
Publication date: 14 June 2018
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-017-3883-5
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of singular points in dynamical systems (37G10)
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Periodic orbits bifurcating from a Hopf equilibrium of 2-dimensional polynomial Kolmogorov systems of arbitrary degree ⋮ Linear type global centers of linear systems with cubic homogeneous nonlinearities ⋮ Bifurcation of limit cycles and isochronous centers on center manifolds for a class of cubic Kolmogorov systems in \(\mathbb{R}^3\) ⋮ On the Local Stability of a Certain Class of Polynomial Differential System ⋮ Nilpotent Global Centers of Linear Systems with Cubic Homogeneous Nonlinearities
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Cites Work
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- Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities
- Center-focus problem and limit cycles bifurcations for a class of cubic Kolmogorov model
- Essential variables in the integrability problem of planar vector fields
- Lotka-Volterra equation and replicator dynamics: A two-dimensional classification
- An approach to solving systems of polynomials via modular arithmetics with applications
- Solution of the problem of the centre for cubic differential system with three invariant straight lines in generic position
- The period in the Lotka-Volterra system is monotonic
- Gröbner bases and primary decomposition of polynomial ideals
- Quadratic-like cubic systems
- Cubic Kolmogorov system with invariant straight lines.
- A cubic Kolmogorov system with six limit cycles
- Limit cycles of a cubic Kolmogorov system
- One-parameter family of cubic Kolmogorov systems with an isochronous center
- Linearizability and local bifurcation of critical periods in a cubic Kolmogorov system
- On some open problems in planar differential systems and Hilbert's 16th problem
- Integrability of Lotka–Volterra Planar Complex Cubic Systems
- INTEGRABILITY AND BIFURCATIONS OF LIMIT CYCLES IN A CUBIC KOLMOGOROV SYSTEM
- The Center and Cyclicity Problems
- P-adic reconstruction of rational numbers
- Linearizability conditions for Lotka–Volterra planar complex cubic systems
- On the dynamics of a class of Kolmogorov systems
- Isochronous centers of cubic systems with degenerate infinity
- Integrability of cubic systems with degenerate infinity
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