Remarks on the region of attraction of an isolated invariant set

Tom 104 / 2006

Konstantin Athanassopoulos Colloquium Mathematicum 104 (2006), 157-167 MSC: 37B25, 37B35, 54H20. DOI: 10.4064/cm104-2-1

Streszczenie

We study the complexity of the flow in the region of attraction of an isolated invariant set. More precisely, we define the instablity depth, which is an ordinal and measures how far an isolated invariant set is from being asymptotically stable within its region of attraction. We provide upper and lower bounds of the instability depth in certain cases.

Autorzy

  • Konstantin AthanassopoulosDepartment of Mathematics
    University of Crete
    GR-71409 Iraklion, Greece
    e-mail

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