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Some criteria for the existence of limit cycles for quadratic vector fields.

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Publication:1399394
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DOI10.1016/S0022-247X(03)00149-5zbMath1073.34029MaRDI QIDQ1399394

Javier Chavarriga, Isaac A. García

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)



Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamics induced by flows and semiflows (37C10)


Related Items

Number of limit cycles for planar systems with invariant algebraic curves



Cites Work

  • Quadratic systems having a parabola as an integral curve
  • On the nonexistence, existence and uniqueness of limit cycles
  • ON INTEGRABILITY OF DIFFERENTIAL EQUATIONS DEFINED BY THE SUM OF HOMOGENEOUS VECTOR FIELDS WITH DEGENERATE INFINITY
  • Invariant algebraic curves and rational first integrals for planar polynomial vector fields
  • Uniqueness of algebraic limit cycles for quadratic systems
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