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Shooting-Verfahren bei nichtlinearen, autonomen Schwingungen

Shooting methods for nonlinear autonomous oscillations

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Zusammenfassung

Unter der Voraussetzung der Existenz einer isolierten, periodischen Lösung eines autonomen Systems wird die Konvergenz des Shooting-Verfahrens in Verbindung mit Iterationsverfahren vom Regula-falsi-Typ bewiesen.

Abstract

Assuming the existence of an isolated periodic solution of an autonomous system we prove the convergence of the shooting method combined with regula-falsi-type methods.

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Literatur

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Authors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Hamburg, Bundesstraße 55, D-2000, Hamburg 13, Bundesrepublik Deutschland

    W. Hofmann &  H. Voss

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  1. W. Hofmann
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  2. H. Voss
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Hofmann, W., Voss, H. Shooting-Verfahren bei nichtlinearen, autonomen Schwingungen. Computing 17, 187–191 (1976). https://doi.org/10.1007/BF02276764

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  • DOI: https://doi.org/10.1007/BF02276764

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