On the Limit Cycles of Linear Differential Systems with Homogeneous Nonlinearities

DOI10.4153/CMB-2015-062-1zbMath1337.34034MaRDI QIDQ3460819

Xiang Zhang, Jaume Llibre

Publication date: 8 January 2016

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

limit cyclespolynomial differential systemdifferential equations on the cylinder

Mathematics Subject Classification ID

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)

Related Items (5)

Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities ⋮ 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 ⋮ A new Chebyshev criterion and its application to planar differential systems ⋮ Criteria on the existence of limit cycles in planar polynomial differential systems

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