The conjugacy between Cascades generated by a weakly nonlinear system and the Euler method of a flow
Volume 29 / 2002
Applicationes Mathematicae 29 (2002), 43-49
MSC: Primary 37M99; Secondary 68T99.
DOI: 10.4064/am29-1-5
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.