On the basin of attraction of dissipative planar vector fields

Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1455)


An estimate for the size of the basin of attraction of an equilibrium point for a class of planar dissipative vector fields is given here. Our main result, which generalizes a theorem of Krasowskii, is applied to give several sufficient conditions for global asymptotic stability.


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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  1. 1.Departament de MatemàtiquesUniversitat Autònoma de BarcelonaBellaterra (Barcelona)Spain
  2. 2.Instituto de Matemática Pura e Aplicada Est. Dona Castorina, 110, CEP 22460Rio de Janeiro, R.J.Brazil

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