Non-existence of limit cycles for a quadratic system in class II

DOI10.1016/S0362-546X(01)00763-5zbMath1034.34033OpenAlexW1975636693MaRDI QIDQ1612576

J. W. Reyn

Publication date: 25 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00763-5

zbMATH Keywords

nonexistencelimit cyclequadratic systemclass II of Ye Yanqian

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)

Cites Work

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• Separatrix cycles and mutiple limit cycles in a class of quadratic systems
• Two-dimensional quadratic systems as a Liénard equation
• Phase portraits of nondegenerate quadratic systems with finite multiplicity two
• A survey of quadratic systems
• Some criteria for presence and absence of limit cycles in dynamical systems of the second order
• Phase portraits of quadratic systems without finite critical points
• Phase portraits of quadratic systems with finite multiplicity one

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