Blowout bifurcation and spatial mode excitation in the bubbling transition to turbulence |
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Authors: | JD Szezech JrSR Lopes IL CaldasRL Viana |
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Institution: | a Instituto de Física, Universidade de São Paulo, 05315-970, São Paulo, Brazilb Departamento de Física, Universidade Federal do Paraná, Caixa Postal 19044, 81531-990, Curitiba, Paraná, Brazil |
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Abstract: | The transition to turbulence (spatio-temporal chaos) in a wide class of spatially extended dynamical system is due to the loss of transversal stability of a chaotic attractor lying on a homogeneous manifold (in the Fourier phase space of the system), causing spatial mode excitation. Since the latter manifests as intermittent spikes this has been called a bubbling transition. We present numerical evidences that this transition occurs due to the so-called blowout bifurcation, whereby the attractor as a whole loses transversal stability and becomes a chaotic saddle. We used a nonlinear three-wave interacting model with spatial diffusion as an example of this transition. |
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Keywords: | Wave turbulence Spatial mode excitation Three-wave interaction |
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