Abstract
The dynamical behavior of a traveling hole in a large one-dimensional (1D) system obeying the complex Ginzburg-Landau amplitude equation is studied numerically as a function of parameters near a subcritical bifurcation. After having established the criterion of Benjamin-Feir-Newell (BFN) instability near the weakly inverted bifurcation, five types of dynamical regimes have been distinguished: laminar state and spatiotemporal intermittency regimes below the BFN line. Beyond the BFN line, we have observed a phase turbulence regime with a conserved phase winding number and no phase dislocations, a defect turbulence regime with a nonzero density of defects and, between these two regimes, a weak turbulence has been identified.
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Gonpe Tafo, J.B., Nana, L. & Kofane, T.C. Dynamics of a traveling hole in one-dimensional systems near subcritical bifurcation. Eur. Phys. J. Plus 126, 105 (2011). https://doi.org/10.1140/epjp/i2011-11105-x
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DOI: https://doi.org/10.1140/epjp/i2011-11105-x