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On the Dulac functions

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Publication:2431075
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DOI10.1007/s12346-011-0036-yzbMath1220.34050OpenAlexW2057315529MaRDI QIDQ2431075

Osvaldo Osuna, Gabriel Villaseñor

Publication date: 8 April 2011

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-011-0036-y


zbMATH Keywords

periodic orbitBendixson-Dulac criterionDulac functionquasilinear partial differential equationplanar autonomous system


Mathematics Subject Classification ID

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


Related Items (6)

Effect of explicit dynamics of free virus and intracellular delay ⋮ Antimicrobial resistance within host: a population dynamics view ⋮ Prey, predator and super-predator model with disease in the super-predator ⋮ Dulac functions of planar vector fields ⋮ A note on the existence and construction of Dulac functions ⋮ Construction of Dulac functions for mathematical models in population biology



Cites Work

  • Bendixson-Dulac criteria for difference equations
  • A new criterion for controlling the number of limit cycles of some generalized Liénard equations
  • On the construction of certain Dulac functions
  • Unnamed Item
  • Unnamed Item


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