Issue |
Europhys. Lett.
Volume 69, Number 2, January 2005
|
|
---|---|---|
Page(s) | 170 - 176 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i2004-10327-x | |
Published online | 17 December 2004 |
Frequency locking in extended systems: The impact of a Turing mode
1
Department of Chemical Engineering, Technion, Israel Institute of Technology 32000 Haifa, Israel
2
Centro de Fisica No Lineal y Sistemas Complejos de Santiago Casilla 17122, Santiago, Chile
3
Mathematical Modeling and Analysis, Theoretical Division Los Alamos National Laboratory - Los Alamos, NM 87545, USA
4
Department of Physics, Ben Gurion University - Beer Sheva 84105, Israel
5
Department of Solar Energy and Environmental Physics, BIDR Ben Gurion University - Sede Boker Campus 84990, Israel
Received:
28
June
2004
Accepted:
8
November
2004
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 resonance region of
uniform oscillations, and non-resonant mixed-mode oscillations
may prevail inside the resonance region.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 47.20.Ky – Nonlinearity (including bifurcation theory) / 47.54.+r – Pattern selection; pattern formation
© EDP Sciences, 2005
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