The study on cyclicity of a class of cubic systems
DOI10.3934/dcdsb.2021314OpenAlexW4205915688MaRDI QIDQ2081922
Publication date: 30 September 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2021314
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)
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Cites Work
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- New results on the study of \(Z_q\)-equivariant planar polynomial vector fields
- Limit cycles of differential equations
- A cubic system with thirteen limit cycles
- Quadratic perturbations of quadratic codimension-four centers
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Bifurcations of limit cycles forming compound eyes in the cubic system
- Linear estimate of the number of zeros of Abelian integrals for a kind of quartic Hamiltonians
- Global dynamics of a mechanical system with dry friction
- The cyclicity of period annuli for a class of cubic Hamiltonian systems with nilpotent singular points
- On the algebraic structure of abelian integrals for a kind of perturbed cubic Hamiltonian systems
- On the number of zeros of abelian integral for a class of cubic Hamilton systems with the phase portrait ``butterfly
- Estimate of the number of zeros of abelian integrals for a kind of quartic Hamiltonians with two centers
- Stability and Hopf bifurcation analysis in a three-level food chain system with delay
- Stability and Hopf bifurcation analysis in a prey-predator system with stage-structure for prey and time delay
- EXISTENCE CONDITIONS OF THIRTEEN LIMIT CYCLES IN A CUBIC SYSTEM
- Global study of Rayleigh–Duffing oscillators
- Static stars : Some mathematical curiosities
- Bifurcation Analysis of a Predator–Prey System with Ratio-Dependent Functional Response
- Bifurcation Analysis for a Food Chain Model with Nonmonotonic Nutrition Conversion Rate of Predator to Top Predator
- On the number of zeros of Abelian integral for a class of cubic Hamiltonian systems
- The number of limit cycles of the FitzHugh nerve system
- TWELVE LIMIT CYCLES IN A CUBIC CASE OF THE 16th HILBERT PROBLEM
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