Topology and dynamics of unstable attractors

M. A. Morón, J. J. Sánchez-Gabites, and J. M. R. Sanjurjo. "Topology and dynamics of unstable attractors." Fundamenta Mathematicae 197.1 (2007): 239-252. <http://eudml.org/doc/286668>.

@article{M2007,
abstract = {This article aims to explore the theory of unstable attractors with topological tools. A short topological analysis of the isolating blocks for unstable attractors with no external explosions leads quickly to sharp results about their shapes and some hints on how Conley's index is related to stability. Then the setting is specialized to the case of flows in ℝⁿ, where unstable attractors are seen to be dynamically complex since they must have external explosions.},
author = {M. A. Morón, J. J. Sánchez-Gabites, J. M. R. Sanjurjo},
journal = {Fundamenta Mathematicae},
keywords = {unstable attractor; external explosion; Conley index; shape},
language = {eng},
number = {1},
pages = {239-252},
title = {Topology and dynamics of unstable attractors},
url = {http://eudml.org/doc/286668},
volume = {197},
year = {2007},
}

TY - JOUR
AU - M. A. Morón
AU - J. J. Sánchez-Gabites
AU - J. M. R. Sanjurjo
TI - Topology and dynamics of unstable attractors
JO - Fundamenta Mathematicae
PY - 2007
VL - 197
IS - 1
SP - 239
EP - 252
AB - This article aims to explore the theory of unstable attractors with topological tools. A short topological analysis of the isolating blocks for unstable attractors with no external explosions leads quickly to sharp results about their shapes and some hints on how Conley's index is related to stability. Then the setting is specialized to the case of flows in ℝⁿ, where unstable attractors are seen to be dynamically complex since they must have external explosions.
LA - eng
KW - unstable attractor; external explosion; Conley index; shape
UR - http://eudml.org/doc/286668
ER -