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

Author

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

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.

Suggested Citation

  • Szezech, J.D. & Lopes, S.R. & Caldas, I.L. & Viana, R.L., 2011. "Blowout bifurcation and spatial mode excitation in the bubbling transition to turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 365-373.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:2:p:365-373
    DOI: 10.1016/j.physa.2010.09.037
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