Remarks on the region of attraction of an isolated invariant set

• Autorzy: Konstantin Athanassopoulos
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54H20: Topological dynamics
• 37B35: Gradient-like and recurrent behavior; isolated (locally maximal) invariant sets
• 37B25: Lyapunov functions and stability; attractors, repellers

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2006
• Tom: 104
• Numer: 2
• Strony: 157-167

Daty

wydano

2006

Twórcy

autor

Konstantin Athanassopoulos

• Department of Mathematics, University of Crete, GR-71409 Iraklion, Greece

Identyfikatory

DOI

10.4064/cm104-2-1