Period-adding phenomenon

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24 Scopus citations

Abstract

A simple geometrical explanation is given for the 'period-adding' phenomenon observed in the 1927 experiment of van der Pol and van der Mark and refined recently by M.P. Kennedy and L.O. Chua. The problem is reduced to a simple circle map. Some previous results are outlined to show how the same phenomenon arises in a class of van der Pol-type system with periodic forcing, and in conclusion some recent topological results are applied to such systems.

Original languageEnglish (US)
Pages (from-to)943-955
Number of pages13
JournalSIAM Journal on Applied Mathematics
Volume50
Issue number4
DOIs
StatePublished - Jan 1 1990

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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