scientific article; zbMATH DE number 1247463

zbMath0929.34027MaRDI QIDQ4227741

Leonid Cherkas, Alexander Grin

Publication date: 25 March 1999

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

stabilityinstabilityDulac functionautonomous dynamical systemdoubly-connected domainrough limit cyclethird-degree polynomials

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (3)

A cubic Dulac function for a polynomial autonomous system on the plane with right-hand sides that are fourth-order nonlinearities. ⋮ A new criterion for controlling the number of limit cycles of some generalized Liénard equations ⋮ Some Applications of the Extended Bendixson-Dulac Theorem

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