@article{Sánchez2008,
abstract = {This survey is an introduction to some of the methods, techniques and concepts from algebraic topology and related areas (homotopy theory, shape theory) which can be fruitfully applied to study problems concerning continuous dynamical systems. To this end two instances which exemplify the interaction between topology and dynamics are considered, namely, Conley’s index theory and the study of some properties of certain attractors.},
author = {Sánchez-Gabites, J.J.},
journal = {RACSAM},
keywords = {topological aspects of dynamical systems; Conley index; homotopy theory; isolated invariant sets; topology of attractors},
language = {eng},
number = {1},
pages = {127-159},
title = {Dynamical systems and shapes.},
url = {http://eudml.org/doc/42012},
volume = {102},
year = {2008},
}
TY - JOUR
AU - Sánchez-Gabites, J.J.
TI - Dynamical systems and shapes.
JO - RACSAM
PY - 2008
VL - 102
IS - 1
SP - 127
EP - 159
AB - This survey is an introduction to some of the methods, techniques and concepts from algebraic topology and related areas (homotopy theory, shape theory) which can be fruitfully applied to study problems concerning continuous dynamical systems. To this end two instances which exemplify the interaction between topology and dynamics are considered, namely, Conley’s index theory and the study of some properties of certain attractors.
LA - eng
KW - topological aspects of dynamical systems; Conley index; homotopy theory; isolated invariant sets; topology of attractors
UR - http://eudml.org/doc/42012
ER -