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Liénard systems for quadratic systems with invariant algebraic curves

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Publication:662454
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DOI10.1134/S0012266111100065zbMath1245.34057OpenAlexW2029765441MaRDI QIDQ662454

Leonid Cherkas

Publication date: 23 February 2012

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266111100065



Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Invariant manifolds for ordinary differential equations (34C45)


Related Items (3)

Phase portraits of the quadratic polynomial Liénard differential systems ⋮ A Bendixon–Dulac theorem for some piecewise systems ⋮ A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves



Cites Work

  • Algebraic limit cycles of degree 4 for quadratic systems
  • On the algebraic limit cycles of Liénard systems
  • Uniqueness of limit cycles in polynomial systems with algebraic invariants
  • Algebraic invariant curves for the Liénard equation
  • Algebraic limit cycles in polynomial systems of differential equations
  • Uniqueness of algebraic limit cycles for quadratic systems


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