The conjugacy between Cascades generated by a weakly nonlinear system and the Euler method of a flow

Dariusz Jabłoński. "The conjugacy between Cascades generated by a weakly nonlinear system and the Euler method of a flow." Applicationes Mathematicae 29.1 (2002): 43-49. <http://eudml.org/doc/279763>.

@article{DariuszJabłoński2002,
abstract = {Sufficient conditions for the existence of a topological conjugacy between a cascade obtained from a weakly nonlinear flow by fixing the time step and a cascade obtained by the Euler method are analysed. The aim of this paper is to provide relations between constants in the Fečkan theorem. Given such relations an implementation of a weakly nonlinear neuron is possible.},
author = {Dariusz Jabłoński},
journal = {Applicationes Mathematicae},
keywords = {discretization; dynamical system; topological conjugacy; artificial neural networks; Fečkan theorem},
language = {eng},
number = {1},
pages = {43-49},
title = {The conjugacy between Cascades generated by a weakly nonlinear system and the Euler method of a flow},
url = {http://eudml.org/doc/279763},
volume = {29},
year = {2002},
}

TY - JOUR
AU - Dariusz Jabłoński
TI - The conjugacy between Cascades generated by a weakly nonlinear system and the Euler method of a flow
JO - Applicationes Mathematicae
PY - 2002
VL - 29
IS - 1
SP - 43
EP - 49
AB - Sufficient conditions for the existence of a topological conjugacy between a cascade obtained from a weakly nonlinear flow by fixing the time step and a cascade obtained by the Euler method are analysed. The aim of this paper is to provide relations between constants in the Fečkan theorem. Given such relations an implementation of a weakly nonlinear neuron is possible.
LA - eng
KW - discretization; dynamical system; topological conjugacy; artificial neural networks; Fečkan theorem
UR - http://eudml.org/doc/279763
ER -