On the distribution and number of limit cycles for quadratic systems with two foci

DOI10.1007/BF02969414zbMath1050.34036OpenAlexW1990026252MaRDI QIDQ1431480

Pingguang Zhang

Publication date: 9 June 2004

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02969414

zbMATH Keywords

limit cyclequadratic systems

Mathematics Subject Classification ID

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

Related Items (10)

The third order Melnikov function of a quadratic center under quadratic perturbations ⋮ Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems ⋮ Normal forms of quadratic vector fields and the Shi Songling equation ⋮ Quadratic perturbations of a quadratic reversible Lotka-Volterra system ⋮ The cyclicity of period annuli of a class of quadratic reversible systems with two centers ⋮ Number of limit cycles for planar systems with invariant algebraic curves ⋮ The application of Liénard transformations to predator-prey systems ⋮ Non-nested configuration of algebraic limit cycles in quadratic systems ⋮ On the number of limit cycles of planar quadratic vector fields with a perturbed center ⋮ On the uniqueness and expression of limit cycles in planar polynomial differential system via monotone iterative technique

Cites Work

• Non-existence of limit cycle around a weak focus of order three for any quadratic system
• Quadratic systems with a weak focus and a strong focus
• Quadratic systems with a weak focus
• On the number of limit cycles for the quadratic systems with a weak focus and a strong focus
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