Order reduction of hierarchical interconnected dynamical systems
Institut für Theoretische Elektrotechnik, Leibniz Universität Hannover, Appelstraße 9A, 30167 Hannover, Germany
Wolfgang Mathis
Institut für Theoretische Elektrotechnik, Leibniz Universität Hannover, Appelstraße 9A, 30167 Hannover, Germany
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Wolfgang Mathis
Adv. Radio Sci., 22, 17–28, https://doi.org/10.5194/ars-22-17-2024, https://doi.org/10.5194/ars-22-17-2024, 2024
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This article deals with the relatively late introduction of entertainment radio in Germany compared to other technically advanced countries. Following current broadcasting history, the German Post Office was initially interested in the commercial use of wireless technology after the end of the First World War. Due to the success of entertainment radio in the USA and UK, there were demands from industry and radio amateurs for its opening in Germany as well, which finally happened with a delay.
Wolfgang Mathis
Adv. Radio Sci., 21, 65–75, https://doi.org/10.5194/ars-21-65-2023, https://doi.org/10.5194/ars-21-65-2023, 2023
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Based on new archive sources, it is shown that Egbert von Lepel is one of the pioneers of early radio technology, which has not been adequately dealt with in the history of radio science. In particular, the significance of his 1907 patent of the spark-gap transmitter ("Löschfunkensender") is unknown, although it was granted as a key patent by the Imperial Patent Office in 1911. Therefore, Telefunken paid licenses to von Lepel, but this was the subject of a secret treaty of 1919.
Wolfgang Mathis and Anja Titze
Adv. Radio Sci., 19, 93–104, https://doi.org/10.5194/ars-19-93-2021, https://doi.org/10.5194/ars-19-93-2021, 2021
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In this article, we examined the emergence of the new broadcast medium
Radioin Germany shortly after World War I which is called
Rundfunkin this country and consider the early radio transmitter stations in Eberswalde and Königs Wusterhausen.
Hoang Duc Pham, Soeren Ploennigs, and Wolfgang Mathis
Adv. Radio Sci., 16, 35–41, https://doi.org/10.5194/ars-16-35-2018, https://doi.org/10.5194/ars-16-35-2018, 2018
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This paper deals with the propagation of electromagnetic waves in cylindrical waveguides with irregularly deformed cross-sections. Waveguides are of high interest because of its practical use as a transmission medium. Schelkunoff's method, is a semi-analytical method for computing electromagnetic waves in hollow and cylindrical waveguides bounded by PEC walls. The aim of this paper is to derive the so-called GTE's for irregular deformed waveguides.
Harry Weber and Wolfgang Mathis
Adv. Radio Sci., 15, 223–230, https://doi.org/10.5194/ars-15-223-2017, https://doi.org/10.5194/ars-15-223-2017, 2017
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In diesem Beitrag wird eine selbstkonsistente Carleman Linearisierung zur Untersuchung von Oszillatoren vorgestellt. Anstelle einer linearen Näherung um einen Arbeitspunkt, erfolgt mit Hilfe der selbstkonsistenten Carleman Linearisierung eine Approximation auf einem vorgegebenen Gebiet. Um in Anschluss das stationäre Verhalten von Oszillatoren zu beschreiben, wird die Berechnung einer Poincaré-Abbildung durchgeführt. Mit dieser ist eine anschließende Analyse des Oszillators möglich.
Michał Mika, Mirjam Dannert, Felix Mett, Harry Weber, Wolfgang Mathis, and Udo Nackenhorst
Adv. Radio Sci., 15, 55–60, https://doi.org/10.5194/ars-15-55-2017, https://doi.org/10.5194/ars-15-55-2017, 2017
Sven Feldkord, Marco Reit, and Wolfgang Mathis
Adv. Radio Sci., 15, 43–47, https://doi.org/10.5194/ars-15-43-2017, https://doi.org/10.5194/ars-15-43-2017, 2017
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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.
Seyed Mohammadamin Moosavi, Christian Widemann, and Wolfgang Mathis
Adv. Radio Sci., 15, 37–41, https://doi.org/10.5194/ars-15-37-2017, https://doi.org/10.5194/ars-15-37-2017, 2017
Harry Weber and Wolfgang Mathis
Adv. Radio Sci., 14, 51–54, https://doi.org/10.5194/ars-14-51-2016, https://doi.org/10.5194/ars-14-51-2016, 2016
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In this contribution, the limitations of the Carleman linearization approach are presented and discussed. The Carleman linearization transforms an ordinary nonlinear differential equation into an infinite system of linear differential equations which cannot be solved in general. Therefore, the infinite dimensional system has to be approximated by a finite one. The idea of this contribution is to use a Taylor series for the approximation of the infinite system.
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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Recently, nonlinear amplifiers based on the Andronov–Hopf bifurcation have become a focus of attention in modeling of the mammalian hearing organ. We present a flexible framework implemented on a DSP to analyze various bifurcation based amplifiers to get deeper insights in their nonlinear input-output behavior. A comparison shows the Neimark–Sacker amplifier remarkably outperforms the Andronov–Hopf amplifier regarding the CPU usage.
T. Vennemann, T. Frye, Z. Liu, M. Kahmann, and W. Mathis
Adv. Radio Sci., 13, 1–8, https://doi.org/10.5194/ars-13-1-2015, https://doi.org/10.5194/ars-13-1-2015, 2015
E. Hintzen, T. Vennemann, and W. Mathis
Adv. Radio Sci., 12, 49–52, https://doi.org/10.5194/ars-12-49-2014, https://doi.org/10.5194/ars-12-49-2014, 2014
M. Weber, T. Vennemann, and W. Mathis
Adv. Radio Sci., 12, 91–94, https://doi.org/10.5194/ars-12-91-2014, https://doi.org/10.5194/ars-12-91-2014, 2014
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Short summary
The simulation of large scale nonlinear dynamical interconnected systems is a usual task. Due to the high complexity of the considered systems, the principle of thinking in hierarchical structures is common among engineers. This contribution proposes an approach for the numerical simulation of large systems, which keeps the hierarchical system structure alive during the entire simulation and order reduction process, which results in several benefits compared with the state of the art.
The simulation of large scale nonlinear dynamical interconnected systems is a usual task. Due to...