Synchronization of detonations: Arnold tongues and devil's staircases

Andrei Yu Goldin, Aslan R. Kasimov

Research output: Contribution to journalArticlepeer-review

Abstract

We report on the phenomenon of detonation synchronization and demonstrate the existence of the Arnold tongues and devil's staircases in the problem of gaseous detonation in a periodically inhomogeneous reactive medium. Universal properties of these dynamical structures - the Farey tree, fractal dimension and period-doubling bifurcations - are revealed.

Original languageEnglish
Article numberR1
JournalJournal of Fluid Mechanics
Volume946
DOIs
Publication statusPublished - 10 Sep 2022

Keywords

  • detonations
  • nonlinear instability

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