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Algorithms for Arnol'd tongues and quasi-periodic tori : a case study

Research output: Working paperWorking paper and Preprints

  • F Schilder
Original languageEnglish
Publication date2005
StateUnpublished

Abstract

This paper presents algorithms for the computation of Arnol'd tongues and quasi-periodic curves in a two-parameter plane and demonstrates their performance with an example from nonlinear electrical engineering. Both methods are complementary and, together, allow the computation of the two-parameter bifurcation diagram near a one-parameter family of tori with parallel flow. The algorithms are simple to implement and compute Arnol'd tongues or quasi-periodic curves for user-defined rotation numbers.

Documents

Documents

  • Bcanm 2005r07

    Preprint (usually an early version) , 1 MB, PDF-document

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