Secondary infinite-period bifurcation of spinning combustion waves near a hydrodynamic cellular stability boundary

Stephen B. Margolis, Gregory I. Sivashinsky, John K. Bechtold

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Strong spatial resonance near a cellular stability boundary is capable of generating families of orbitally stable spinning or travelling waves via an infinite-period secondary bifurcation from a steady bimodal solution branch. We illustrate this phenomenon for two problems in combustion theory corresponding to downward-propagating flames and the burning of liquid propellants in vertical channels.

Original languageEnglish (US)
Pages (from-to)181-198
Number of pages18
JournalPhysica D: Nonlinear Phenomena
Volume43
Issue number2-3
DOIs
StatePublished - Jul 1990
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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