21 Sep 2017
Eine selbstkonsistente Carleman Linearisierung zur Analyse von Oszillatoren
Harry Weber
CORRESPONDING AUTHOR
Institut für Theoretische Elektrotechnik, Leibniz Universität
Hannover, 30167, Hannover, Deutschland
Wolfgang Mathis
Institut für Theoretische Elektrotechnik, Leibniz Universität
Hannover, 30167, Hannover, Deutschland
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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.
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Short summary
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.
In diesem Beitrag wird eine selbstkonsistente Carleman Linearisierung zur Untersuchung von...
