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

Volume 29 / 2002

Dariusz Jab/lo/nski Applicationes Mathematicae 29 (2002), 43-49 MSC: Primary 37M99; Secondary 68T99. DOI: 10.4064/am29-1-5


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.


  • Dariusz Jab/lo/nskiInstitute of Mathematics
    Cracow University of Technology
    Warszawska 24
    31-155 Kraków, Poland

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