Limit cycles in quadratic systems with a first-order weak focus

DOI10.1134/S1064562410060220zbMath1273.34041OpenAlexW2067993798MaRDI QIDQ542334

Gennady Alekseevich Leonov

Publication date: 8 June 2011

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

Full work available at URL: https://doi.org/10.1134/s1064562410060220

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)

Related Items (1)

Visualization of four limit cycles of two-dimensional quadratic systems in the parameter space

Cites Work

• Necessary and sufficient conditions for the boundedness of solutions to two-dimensional quadratic systems in a positively invariant half-plane
• Synthesis of two-dimensional quadratic systems with a limit cycle satisfying prescribed initial conditions
• HILBERT'S 16TH PROBLEM FOR QUADRATIC SYSTEMS: NEW METHODS BASED ON A TRANSFORMATION TO THE LIENARD EQUATION

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