Cyclicity of a fake saddle inside the quadratic vector fields

DOI10.1016/j.jde.2014.09.024zbMath1314.34066OpenAlexW2030650094MaRDI QIDQ2514027

Joan Torregrosa, Peter De Maesschalck, Salomón Rebollo-Perdomo

Publication date: 30 January 2015

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

Full work available at URL: https://doi.org/10.1016/j.jde.2014.09.024

zbMATH Keywords

bifurcationlimit cyclecyclicityfake saddleimpassable grain

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 singular points in dynamical systems (37G10) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Singular perturbations of ordinary differential equations (34D15) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items

Normal forms near a symmetric planar saddle connection ⋮ Normal linearization and transition map near a saddle connection with symmetric resonances ⋮ Critical periods in planar polynomial centers near a maximum number of cusps

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