Blowout bifurcation and spatial mode excitation in the bubbling transition to turbulence

J.D. Szezech, S.R. Lopes, I.L. Caldas and R.L. Viana

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 2, 365-373

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.

Keywords: Wave turbulence; Spatial mode excitation; Three-wave interaction (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:2:p:365-373

DOI: 10.1016/j.physa.2010.09.037

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