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Titel: Complex spatiotemporal behavior in a chain of one-way nonlinearly coupled elements
Type: Journal articleJournal article
Person(er):
Forfatter:  Gaididei, Yuri Borisovich (Cwisno: 45339)
Technical University of Denmark
Email:

Forfatter:  Berkemer, Rainer (Cwisno: 37383)
Technical University of Denmark
Email:

Forfatter:  Gorria, C.
Technical University of Denmark

Forfatter:  Christiansen, Peter Leth (Cwisno: 401)
Technical University of Denmark
Email:

Forfatter:  Kawamoto, A.
Technical University of Denmark

Forfatter:  Shiga, T.
Technical University of Denmark

Forfatter:  Sørensen, Mads Peter (Cwisno: 2425)
Technical University of Denmark
Email:

Forfatter:  Starke, Jens (Cwisno: 34425)
Technical University of Denmark
Email:

Uddrag: 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.
Publiceret: in journal: Discrete and Continuous Dynamical Systems. Series S (ISSN: 1937-1632) (DOI: http://dx.doi.org/10.3934/dcdss.2011.4.1167), vol: 4, issue: 5, pages: 1167-1179, 2011
DOI:
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