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Cite Details

Arik Yochelis, Christian Elphick, Aric Hagberg and Ehud Meron, "Frequency locking in extended systems: the impact of a Turing mode", Europhys. Lett., vol. 69, pp. 170--176, 2005


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.

BibTeX Entry

author = {Arik Yochelis and Christian Elphick and Aric Hagberg and Ehud Meron},
title = {Frequency locking in extended systems: the impact of a {T}uring mode},
year = {2005},
urlpdf = {http://math.lanl.gov/~hagberg/Papers/turing.pdf},
journal = {Europhys. Lett.},
volume = {69},
pages = {170--176}