Deriving some new conditions on the existence of eight limit cycles for a cubic system

DOI10.1016/S0898-1221(97)00043-6zbMath0874.65053MaRDI QIDQ1356843

Shilong Ma, Shucheng Ning

Publication date: 10 November 1997

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

limit cyclessymbolic computationcubic systempolynomial differential systemsBudan-Fourier theoremRitt-Wu method

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (2)

Limits of theory sequences over algebraically closed fields and applications. ⋮ The criterion of the center-focus for a class of planar perturbed polynomial systems with (\(2n+1\))th degree

Uses Software

• Maple

Cites Work

• A class of cubic differential systems with 6-tuple focus
• Basic principles of mechanical theorem proving in elementary geometries
• A cubic system with eight small-amplitude limit cycles
• A Cubic System with Eight Small-Amplitude Limit Cycles
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