Phase portraits for quadratic systems having a focus and one antisaddle

DOI10.1216/rmjm/1181072378zbMath0814.34020OpenAlexW2066476038MaRDI QIDQ1343994

Jaume Llibre, Joan C. Artés

Publication date: 9 February 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072378

zbMATH Keywords

limit cyclesfocusphase portraitsantisaddlequadratic systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Geometric methods in ordinary differential equations (34A26)

Related Items

Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems, Phase portraits of planar semi-homogeneous vector fields-I, Phase portraits of the quadratic polynomial Liénard differential systems, THE GEOMETRY OF QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS WITH A WEAK FOCUS AND AN INVARIANT STRAIGHT LINE

Cites Work

• Chordal quadratic systems
• Quadratic systems with a unique finite rest point
• Classification and Analysis of two-dimensional real homogeneous quadratic differential equation systems
• Quadratic Hamiltonian vector fields
• Some theorems on the existence, uniqueness, and nonexistence of limit cycles for quadratic systems
• Bounded quadratic systems in the plane
• Classification of Continuous Flows on 2-Manifolds
• Generic Properties of Polynomial Vector Fields at Infinity
• Global Structure of Ordinary Differential Equations in the Plane
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