Limit cycles for multidimensional vector fields. The elliptic case

DOI10.1023/A:1023241823216zbMath1038.34035OpenAlexW84819111MaRDI QIDQ1810768

Henryk Żołądek, Marcin Bobieński

Publication date: 9 June 2003

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023241823216

zbMATH Keywords

limit cyclenormal hyperbolicityPoincaré-Pontryagin-Melnikov-Arnold integral

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (5)

The Hess-Appelrot system. II: Perturbation and limit cycles ⋮ Limit cycles for a class of three-dimensional polynomial differential systems ⋮ Limit cycles of some polynomial differential systems in dimension 2, 3 and 4, via averaging theory ⋮ Hopf bifurcation in 3-dimensional polynomial vector fields ⋮ Contour integrals as Ad-invariant functions on the fundamental group

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