Skip to content

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


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.



  • Bcanm 2005r07

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

View research connections

Related faculties, schools or groups