dc.identifier.uri |
http://dx.doi.org/10.15488/2094 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/2119 |
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dc.contributor.author |
Feldkord, Sven
|
|
dc.contributor.author |
Reit, Marco
|
|
dc.contributor.author |
Mathis, Wolfgang
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dc.date.accessioned |
2017-10-24T08:01:09Z |
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dc.date.available |
2017-10-24T08:01:09Z |
|
dc.date.issued |
2017 |
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dc.identifier.citation |
Feldkord, S.; Reit, M.; Mathis, W.: Discretization analysis of bifurcation based nonlinear amplifiers. In: Advances in Radio Science 15 (2017), S. 43-47. DOI: https://doi.org/10.5194/ars-15-43-2017 |
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dc.description.abstract |
Recently, for modeling biological amplification processes, nonlinear amplifiers based on the supercritical Andronov-Hopf bifurcation have been widely analyzed analytically. For technical realizations, digital systems have become the most relevant systems in signal processing applications. The underlying continuous-time systems are transferred to the discrete-time domain using numerical integration methods. Within this contribution, effects on the qualitative behavior of the Andronov-Hopf bifurcation based systems concerning numerical integration methods are analyzed. It is shown exemplarily that explicit Runge-Kutta methods transform the truncated normalform equation of the Andronov-Hopf bifurcation into the normalform equation of the Neimark-Sacker bifurcation. Dependent on the order of the integration method, higher order terms are added during this transformation. A rescaled normalform equation of the Neimark-Sacker bifurcation is introduced that allows a parametric design of a discrete-time system which corresponds to the rescaled Andronov-Hopf system. This system approximates the characteristics of the rescaled Hopf-type amplifier for a large range of parameters. The natural frequency and the peak amplitude are preserved for every set of parameters. The Neimark-Sacker bifurcation based systems avoid large computational effort that would be caused by applying higher order integration methods to the continuous-time normalform equations. © Author(s) 2017. |
eng |
dc.language.iso |
eng |
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dc.publisher |
Göttingen : Copernicus GmbH |
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dc.relation.ispartofseries |
Advances in Radio Science 15 (2017) |
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dc.rights |
CC BY 3.0 Unported |
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dc.rights.uri |
https://creativecommons.org/licenses/by/3.0/ |
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dc.subject |
Amplifiers (electronic) |
eng |
dc.subject |
Bifurcation (mathematics) |
eng |
dc.subject |
Continuous time systems |
eng |
dc.subject |
Digital control systems |
eng |
dc.subject |
Discrete time control systems |
eng |
dc.subject |
Integration |
eng |
dc.subject |
Numerical methods |
eng |
dc.subject |
Runge Kutta methods |
eng |
dc.subject |
Signal processing |
eng |
dc.subject |
Time domain analysis |
eng |
dc.subject |
Andronov-Hopf bifurcation |
eng |
dc.subject |
Computational effort |
eng |
dc.subject |
Discrete - time systems |
eng |
dc.subject |
Explicit Runge-Kutta methods |
eng |
dc.subject |
Neimark-Sacker bifurcation |
eng |
dc.subject |
Numerical integration methods |
eng |
dc.subject |
Signal processing applications |
eng |
dc.subject |
Technical realization |
eng |
dc.subject |
Hopf bifurcation |
eng |
dc.subject.ddc |
621,3 | Elektrotechnik, Elektronik
|
ger |
dc.title |
Discretization analysis of bifurcation based nonlinear amplifiers |
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dc.type |
Article |
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dc.type |
Text |
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dc.relation.issn |
1684-9965 |
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dc.relation.doi |
https://doi.org/10.5194/ars-15-43-2017 |
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dc.bibliographicCitation.volume |
15 |
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dc.bibliographicCitation.firstPage |
43 |
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dc.bibliographicCitation.lastPage |
47 |
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dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
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