Stability of certain planar unbounded polycycles

DOI10.1016/S0022-247X(02)00027-6zbMath1013.34046MaRDI QIDQ1604610

Armengol Gasull, Francesc Mañosas, Víctor Mañosa

Publication date: 8 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

stabilityKolmogorov equationspolycyclepolynomial vector field

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) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (4)

Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centres ⋮ Stability and cyclicity of polycycles in non-smooth planar vector fields ⋮ Subharmonic bifurcations near infinity ⋮ Simultaneous bifurcation of limit cycles and critical periods

Cites Work

• Existence of limit cycles for quadratic systems with one infinite singular point
• Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane
• Hilbert's 16th problem for quadratic vector fields
• Bifurcation of planar vector fields and Hilbert's sixteenth problem
• Some Quadratic Systems with a Separatrix Cycle Surrounding a Limit Cycle
• The focus-centre problem for a type of degenerate system
• Generic Properties of Polynomial Vector Fields at Infinity
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