On families of trajectories of an analytic gradient vector field

Adam Dzedzej, and Zbigniew Szafraniec. "On families of trajectories of an analytic gradient vector field." Annales Polonici Mathematici 87.1 (2005): 99-109. <http://eudml.org/doc/280899>.

@article{AdamDzedzej2005,
abstract = {For an analytic function f:ℝⁿ,0 → ℝ,0 having a critical point at the origin, we describe the topological properties of the partition of the family of trajectories of the gradient equation ẋ = ∇f(x) attracted by the origin, given by characteristic exponents and asymptotic critical values.},
author = {Adam Dzedzej, Zbigniew Szafraniec},
journal = {Annales Polonici Mathematici},
keywords = {gradient; characteristic exponents; asymptotic critical values},
language = {eng},
number = {1},
pages = {99-109},
title = {On families of trajectories of an analytic gradient vector field},
url = {http://eudml.org/doc/280899},
volume = {87},
year = {2005},
}

TY - JOUR
AU - Adam Dzedzej
AU - Zbigniew Szafraniec
TI - On families of trajectories of an analytic gradient vector field
JO - Annales Polonici Mathematici
PY - 2005
VL - 87
IS - 1
SP - 99
EP - 109
AB - For an analytic function f:ℝⁿ,0 → ℝ,0 having a critical point at the origin, we describe the topological properties of the partition of the family of trajectories of the gradient equation ẋ = ∇f(x) attracted by the origin, given by characteristic exponents and asymptotic critical values.
LA - eng
KW - gradient; characteristic exponents; asymptotic critical values
UR - http://eudml.org/doc/280899
ER -