The geometry of limit cycle bifurcations in polynomial dynamical systems

zbMath1306.34048MaRDI QIDQ2257847

Valery A. Gaiko

Publication date: 2 March 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://aimsciences.org/journals/displayPaperPro.jsp?paperID=7022

zbMATH Keywords

bifurcationlimit cycleplanar polynomial dynamical systemHilbert's sixteenth problemfield rotation parameterclassical Liénard polynomial systemSmale's thirteenth problem

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (3)

Limit cycles of multi-parameter polynomial dynamical systems ⋮ Global bifurcation analysis of generalized Liénard polynomial dynamical system ⋮ Unnamed Item

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