Journal article
Complex spatiotemporal behavior in a chain of one-way nonlinearly coupled elements
The dynamics of asymmetrically coupled nonlinear elements is considered. It is shown that there are two distinctive regimes of oscillatory behavior of one-way nonlinearly coupled elements depending on the relaxation time and the strength of the coupling. In the subcritical regime when the relaxation time is shorter than a critical one a spatially uniform stationary state is stable.
In the supercritical regime due to a Hopf bifurcation traveling waves spontaneously create and propagate along the system. Our analytical approach is in good agreement with numerical simulations of the fully nonlinear model.
Language: | English |
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Year: | 2011 |
Pages: | 1167-1179 |
ISSN: | 19371179 and 19371632 |
Types: | Journal article |
DOI: | 10.3934/dcdss.2011.4.1167 |
ORCIDs: | Christiansen, Peter Leth , Sørensen, Mads Peter and Starke, Jens |