In this paper, we show that the Gray-Scott model is able to produce defect-mediated turbulence. This regime emerges from the limit cycle, close or far from the Hopf bifurcation, but always right before the Andronov homoclinic bifurcation of the homogeneous system. After this bifurcation, as the control parameter is further changed, the system starts visiting more and more frequently the stable node of the model. Consequently, the defect-mediated turbulence gradually turns into spatiotemporal intermittency.
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Research Article| October 20 2014
Defect-mediated turbulence and transition to spatiotemporal intermittency in the Gray-Scott model
Yannick De Decker
Igal Berenstein, Yannick De Decker; Defect-mediated turbulence and transition to spatiotemporal intermittency in the Gray-Scott model. Chaos 1 December 2014; 24 (4): 043109. https://doi.org/10.1063/1.4896848
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