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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am29-1-5,
author = {Dariusz Jab\l o\'nski},
title = {The conjugacy between Cascades generated by a weakly nonlinear system and the Euler method of a flow},
journal = {Applicationes Mathematicae},
volume = {29},
year = {2002},
pages = {43-49},
zbl = {1011.37006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am29-1-5}
}
Dariusz Jabłoński. The conjugacy between Cascades generated by a weakly nonlinear system and the Euler method of a flow. Applicationes Mathematicae, Tome 29 (2002) pp. 43-49. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am29-1-5/