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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Implementation of a digital evaluation platform to analyze bifurcation based nonlinear amplifiers
Sven Feldkord, Marco Reit, and Wolfgang Mathis
Adv. Radio Sci., 14, 47–50, https://doi.org/10.5194/ars-14-47-2016,https://doi.org/10.5194/ars-14-47-2016, 2016
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Cited articles

Eguíluz, V. M., Ospeck, M., Choe, Y., Hudspeth, A., and Magnasco, M. O.: Essential Nonlinearities in Hearing, Phys. Rev. Lett., 84, 5232, https://doi.org/10.1103/PhysRevLett.84.5232, 2000.
Feldkord, S., Reit, M., and Mathis, W.: Implementation of a digital evaluation platform to analyze bifurcation based nonlinear amplifiers, Adv. Radio Sci., 14, 47–50, https://doi.org/10.5194/ars-14-47-2016, 2016.
Kemp, D. T.: Stimulated Acoustic Emissions from Within the Human Auditory System, J. Acoust. Soc. Am., 64, 1386–1391, https://doi.org/0.1121/1.382104, 1978.
Kuznetsov, Y. A.: Elements of Applied Bifurcation Theory, in: Applied Mathematical sciences, Vol. 112, edited by: Antman, S. S., Marsden, J. E., and Sirovich, L., Springer, New York, 2004
Pikovsky, A., Rosenblum, M., and Kurths, J.: Synchronization: a universal concept in nonlinear sciences, in: Cambridge Nonlinear Science Series (Book 12), Cambridge University Press, 2003.
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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.