The number of limit cycles of certain polynomial differential equations

DOI10.1017/S030821050001341XzbMath0603.34020MaRDI QIDQ3739479

Publication date: 1984

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithm Lyapunov function limit cycles cubic system center quadratic systems focal basis first order differential equation fine focus Hilbert numbers

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10)

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Uses Software

ALGOL 68

Cites Work