The distribution of limit cycles in quadratic systems with four finite singularities

DOI10.1006/jdeq.1998.3503zbMath0923.34029OpenAlexW2013271834MaRDI QIDQ1283966

Robert E. Kooij, André Zegeling

Publication date: 18 October 1999

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

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3503

zbMATH Keywords

quadratic vector fieldsdistribution of limit cycles

Mathematics Subject Classification ID

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

Related Items (5)

Quadratic systems with maximum number of limit cycles ⋮ Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems ⋮ On the Coppel problem for quadratic systems with a fine focus ⋮ The cyclicity of the elliptic segment loops of the reversible quadratic Hamiltonian systems under quadratic perturbations ⋮ Perturbation from an asymmetric cubic Hamiltonian

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quadratic systems with a weak focus
• Proof of the uniqueness theorem of limit cycles of generalized liénard equations
• Quadratic systems with a degenerate critical point
• Uniqueness of limit cycles in polynomial systems with algebraic invariants
• Qualitative properties of two-dimensional predator-prey systems
• On the limit cycle distribution over two nests in quadratic systems

This page was built for publication: The distribution of limit cycles in quadratic systems with four finite singularities