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Phase portraits of two classes of Liénard equations

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Publication:2108055
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DOI10.1007/S40590-022-00479-8OpenAlexW4311521686MaRDI QIDQ2108055

Yanyan Li

Publication date: 19 December 2022

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-022-00479-8


zbMATH Keywords

Liénard systemfirst integralphase portraitPoincaré disc


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)





Cites Work

  • The implicit function theorem. History, theory, and applications
  • On the qualitative behavior of a class of generalized Liénard planar systems
  • Non-existence and uniqueness of limit cycles in a class of generalized Liénard equations
  • Qualitative theory of planar differential systems




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