The conjugacy between Cascades generated by a weakly nonlinear system and the Euler method of a flow
Applicationes Mathematicae, Tome 29 (2002) no. 1, pp. 43-49.

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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.
DOI : 10.4064/am29-1-5
Keywords: sufficient conditions existence topological conjugacy between cascade obtained weakly nonlinear flow fixing time step cascade obtained euler method analysed paper provide relations between constants kan theorem given relations implementation weakly nonlinear neuron possible

Dariusz Jab/lo/nski 1

1 Institute of Mathematics Cracow University of Technology Warszawska 24 31-155 Kraków, Poland
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Dariusz Jab/lo/nski. The conjugacy between Cascades generated
 by a weakly nonlinear system
 and the Euler method of a flow. Applicationes Mathematicae, Tome 29 (2002) no. 1, pp. 43-49. doi : 10.4064/am29-1-5. http://geodesic.mathdoc.fr/articles/10.4064/am29-1-5/

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