Uniqueness of limit cycles for a class of cubic systems with two invariant straight lines

DOI10.1155/2010/737068zbMath1229.34046OpenAlexW2055690273WikidataQ58650874 ScholiaQ58650874MaRDI QIDQ1958781

Xiangdong Xie, Qingyi Zhan, Fengde Chen

Publication date: 29 September 2010

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232918

zbMATH Keywords

limit cycleLiénard equationfocal quantitiesclass of cubic systems with two in variant straight lines

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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• A new class of quadratic systems
• Uniqueness of limit cycles for a class of cubic system with an invariant straight line
• A note on the nonexistence of limit cycles
• Global bifurcation of some cubic planar systems

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