Probability of existence of limit cycles for a family of planar systems

DOI10.1016/j.jde.2023.07.015OpenAlexW4385143517MaRDI QIDQ6072862

Rafel Prohens, Bartomeu Coll, Armengol Gasull

Publication date: 15 September 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2023.07.015

zbMATH Keywords

limit cycleAndronov-Hopf bifurcationabelian integralordinary differential equations with random coefficients

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Ordinary differential equations and systems with randomness (34F05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

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