Resonance in periodically forced processes

I. G. Kevrekidis, R. Aris, L. D. Schmidt

Research output: Contribution to journalArticle

15 Scopus citations

Abstract

The interaction of an external periodic forcing with the natural frequencies of chemically reacting systems gives rise to interesting qualitative dynamic behavior. This behavior is centered around the creation and breaking of resonances and invariant tori. We present a numerical study of the high forcing amplitude region of the excitation diagram and through this an explanation for the shapes of entrainment regions. The algorithms constructed for this purpose are also discussed.

Original languageEnglish (US)
Pages (from-to)905-911
Number of pages7
JournalChemical Engineering Science
Volume41
Issue number4
DOIs
StatePublished - 1986

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Chemical Engineering(all)
  • Industrial and Manufacturing Engineering

Keywords

  • Bifurcation
  • Hopf bifurcation
  • entrainment
  • forced oscillations
  • invariant circles
  • quasiperiodic response
  • stroboscopic map

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