Frequency locking in extended systems: The impact of a Turing mode

A. Yochelis, C. Elphick, A. Hagberg, E. Meron

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

A Turing mode in an extended periodically forced oscillatory system can change the classical resonance boundaries of a single forced oscillator. Using the normal form equation for forced oscillations, we identify a Hopf-Turing bifurcation point around which we perform a weak nonlinear analysis. We show that resonant standing waves can exist outside the 2 : 1 resonance region of uniform oscillations, and non-resonant mixed-mode oscillations may prevail inside the resonance region.

Original languageEnglish
Pages (from-to)170-176
Number of pages7
JournalEurophysics Letters
Volume69
Issue number2
DOIs
StatePublished - 1 Jan 2005

ASJC Scopus subject areas

  • Physics and Astronomy (all)

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