Cyclicity of graphics with semi-hyperbolic points inside quadratic systems

DOI10.1023/A:1022887001627zbMath0989.37047OpenAlexW1548899033MaRDI QIDQ1972772

Henryk Żołądek, Grzegorz Świrszcz, Christiane Rousseau

Publication date: 13 April 2000

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

Full work available at URL: https://doi.org/10.1023/a:1022887001627

zbMATH Keywords

quadratic systemsquadratic vector fieldssemi-hyperbolic points

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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items

Centennial History of Hilbert's 16th Problem, Hilbert's 16-th problem for quadratic vector fields and cyclicity of graphics, Genericity conditions for finite cyclicity of elementary graphics