The non-existence, existence and uniqueness of limit cycles for quadratic polynomial differential systems
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Publication:5382875
DOI10.1017/S0308210517000221zbMath1430.34039MaRDI QIDQ5382875
Publication date: 19 June 2019
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)
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Uniqueness of limit cycles for quadratic vector fields ⋮ Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems ⋮ Limit cycles of polynomial differential systems of degree 1 and 2 on the cylinder ⋮ On the limit cycles surrounding a diagonalizable linear node with homogeneous nonlinearities ⋮ Criteria on the existence of limit cycles in planar polynomial differential systems
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