Synthesis of two-dimensional quadratic systems with a limit cycle satisfying prescribed initial conditions

DOI10.1134/S1064562410020195zbMath1221.34078OpenAlexW2065141188MaRDI QIDQ606559

Gennady Alekseevich Leonov

Publication date: 17 November 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562410020195

zbMATH Keywords

limit cyclequadratic systeminitial data

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (2)

Visualization of four limit cycles of two-dimensional quadratic systems in the parameter space ⋮ Limit cycles in quadratic systems with a first-order weak focus

Cites Work

• Limit cycles of the Liénard equation with discontinuous coefficients
• HILBERT'S 16TH PROBLEM FOR QUADRATIC SYSTEMS: NEW METHODS BASED ON A TRANSFORMATION TO THE LIENARD EQUATION

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