On the number of limit cycles of a quartic polynomial system
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Publication:2063996
DOI10.3934/dcdss.2020337zbMath1485.34101OpenAlexW3016429498MaRDI QIDQ2063996
Publication date: 3 January 2022
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2020337
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)
Cites Work
- Centers and limit cycles of polynomial differential systems of degree \(4\) via averaging theory
- Limit cycle bifurcations in a class of near-Hamiltonian systems with multiple parameters
- Linear type centers of polynomial Hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the \(\mathrm{y}\)-axis
- Bifurcation of small limit cycles in cubic integrable systems using higher-order analysis
- Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle of order \(m\)
- FOUR LIMIT CYCLES FROM PERTURBING QUADRATIC INTEGRABLE SYSTEMS BY QUADRATIC POLYNOMIALS
- Higher order averaging theory for finding periodic solutions via Brouwer degree
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