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

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

doi:10.1209/epl/i2004-10327-x

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

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

Department of Physics

Research output: Contribution to journal › Article › peer-review

18 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 language	English
Pages (from-to)	170-176
Number of pages	7
Journal	EPL
Volume	69
Issue number	2
DOIs	https://doi.org/10.1209/epl/i2004-10327-x
State	Published - 1 Jan 2005

ASJC Scopus subject areas

General Physics and Astronomy

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10.1209/epl/i2004-10327-x

Cite this

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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.",

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N2 - 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.

AB - 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.

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

Abstract

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