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Effective computation of the first Lyapunov quantities for a planar differential equation

A. Gasull, R. Prohens (1997)

Applicationes Mathematicae

We take advantage of the complex structure to compute in a short way and without using any computer algebra system the Lyapunov quantities $V_{3}$ and $V_{5}$ for a general smooth planar system.

Einige Bemerkungen über Nullpunkte im bestimmten dreidimensionalen Raume stetiger Funktionen

Jitka Kojecká, Horymír Netuka (1976)

Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika

Essential singular points of solutions of an algebraic differential equation.

Tosihusa Kimura, Yasutaka Sibuya (1975)

Journal für die reine und angewandte Mathematik

Existence and distribution of limit cycles in a Hamiltonian system.

Tigan, Gheorghe (2006)

Applied Mathematics E-Notes [electronic only]

Existence of limit cycles in a predator-prey system with a functional response.

Attili, Basem S. (2001)

International Journal of Mathematics and Mathematical Sciences

Existence of positive solutions of $n$ -dimensional system of nonlinear differential equations entering into a singular point

Josef Diblík, Miroslava Růžičková (2000)

Archivum Mathematicum