Necessary and sufficient conditions for the boundedness of solutions to two-dimensional quadratic systems in a positively invariant half-plane

DOI10.1134/S1064562410010102zbMath1203.34060OpenAlexW2028155051MaRDI QIDQ606492

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/s1064562410010102

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items

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

Cites Work

• Limit cycles of the Liénard equation with discontinuous coefficients
• Computation of focus values with applications
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS