Articles | Volume 15
https://doi.org/10.5194/ars-15-43-2017
https://doi.org/10.5194/ars-15-43-2017
21 Sep 2017
 | 21 Sep 2017

Discretization analysis of bifurcation based nonlinear amplifiers

Sven Feldkord, Marco Reit, and Wolfgang Mathis

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Short summary
Recently, for modeling biological amplification processes, nonlinear amplifiers based on the Andronov–Hopf bifurcation have become a focus of attention. In this contribution, we analyze discrete-time implementations of this type of amplifiers. The effects of the time-discretization by explicit integration methods are discussed. A novel discrete-time system based on the Neimark–Sacker bifurcation is introduced, that outstandingly approximates the behavior of a particular Hopf-type amplifier.
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