Periodic solutions of a quartic differential equation and Groebner bases

DOI10.1016/S0377-0427(96)00059-3zbMath0864.34035WikidataQ115338994 ScholiaQ115338994MaRDI QIDQ2564282

M. A. M. Alwash

Publication date: 7 January 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

multiplicityperiodic solutionsnonlinear differential equationsbifurcationGroebner bases

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (6)

Application of Gröbner bases theory to derive rate equations for enzyme catalysed reactions with two or more substrates or products ⋮ Polynomial differential equations with piecewise linear coefficients ⋮ Cauchy-type integrals of algebraic functions ⋮ Center conditions at infinity for Abel differential equations ⋮ Periodic solutions of Abel differential equations ⋮ Planar nonautonomous polynomial equations II. Coinciding sectors

Cites Work

• Unnamed Item
• On the number of solutions of the equation \(\sum^n_{j=0}a_j(t)x^j,0\leq t\leq 1\), for which \(x(0)=x(1)\)
• Dynamics retrospective: Great problems, attempts that failed
• Periodic solutions of a quartic nonautonomous equation
• Periodic solutions of polynomial first order differential equations
• The Number of Periodic Solutions of the Equation Ż=z ^N +p ₁ (t )z ^{N −1} +…+p _N (t )

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