Remarks on the region of attraction of an isolated invariant set

Konstantin Athanassopoulos. "Remarks on the region of attraction of an isolated invariant set." Colloquium Mathematicae 104.2 (2006): 157-167. <http://eudml.org/doc/283595>.

@article{KonstantinAthanassopoulos2006,
abstract = {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.},
author = {Konstantin Athanassopoulos},
journal = {Colloquium Mathematicae},
keywords = {continuous flow; isolated invariant set; region of attraction; instability depth; isolating block; final entrance time function},
language = {eng},
number = {2},
pages = {157-167},
title = {Remarks on the region of attraction of an isolated invariant set},
url = {http://eudml.org/doc/283595},
volume = {104},
year = {2006},
}

TY - JOUR
AU - Konstantin Athanassopoulos
TI - Remarks on the region of attraction of an isolated invariant set
JO - Colloquium Mathematicae
PY - 2006
VL - 104
IS - 2
SP - 157
EP - 167
AB - 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.
LA - eng
KW - continuous flow; isolated invariant set; region of attraction; instability depth; isolating block; final entrance time function
UR - http://eudml.org/doc/283595
ER -