Normal forms of quadratic vector fields and the Shi Songling equation

DOI10.1134/S0012266110050046zbMath1218.34032OpenAlexW2149212478WikidataQ115252546 ScholiaQ115252546MaRDI QIDQ610334

D. A. Filimonov

Publication date: 8 December 2010

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266110050046

zbMATH Keywords

bifurcationlimit cyclequadratic systemHilbert's 16th problem

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (1)

The Songling system has exactly four limit cycles

Cites Work

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• On the distribution and number of limit cycles for quadratic systems with two foci
• On hereditarily indecomposable Banach spaces

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