On the Number of Limit Cycles in Generalized Abel Equations

DOI10.1137/20M1340083zbMath1472.34065OpenAlexW3093623229MaRDI QIDQ4983508

Jianfeng Huang, Jordi Villadelprat, Joan Torregrosa

Publication date: 20 April 2021

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1340083

zbMATH Keywords

limit cyclesMelnikov theorysecond order perturbationgeneralized Abel equations

Mathematics Subject Classification ID

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) Nonautonomous smooth dynamical systems (37C60)

Related Items (4)

Periodic orbits in piecewise Riccati vector fields ⋮ Some open problems in low dimensional dynamical systems ⋮ A new Chebyshev criterion and its application to planar differential systems ⋮ On the number of limit cycles in piecewise smooth generalized Abel equations with two asymmetric zones

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