Periodic solutions of polynomial non-autonomous differential equations

DOI10.1017/S0308210500029498zbMath0836.34039MaRDI QIDQ4277232

James Devlin

Publication date: 7 February 1994

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

zbMATH Keywords

periodic solutionslimit cyclespolynomial systemsAbel equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (2)

Uniformly attracting solutions of nonautonomous differential equations ⋮ Planar nonautonomous polynomial equations II. Coinciding sectors

Cites Work

• A simple class of quadratic systems
• On the number of solutions of the equation \(\sum^n_{j=0}a_j(t)x^j,0\leq t\leq 1\), for which \(x(0)=x(1)\)
• Word problems related to periodic solutions of a non-autonomous system
• Non-autonomous equations related to polynomial two-dimensional systems
• The Number of Periodic Solutions of the Equation Ż=z ^N +p ₁ (t )z ^{N −1} +…+p _N (t )

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