Spatiotemporal Intermittency

  • Paul Manneville
Part of the NATO ASI Series book series (NSSB, volume 225)


As a first step toward the understanding of the nature of turbulence, the study of the emergence and destabilization of dissipative structures in out-of-equilibrium systems has attracted considerable attention. During this study, confinement effects have been shown to play a major role in controlling the nature of the nonlinear effective dynamics driving the unstable modes. In confined systems, the spatial structure of the modes remains frozen, so that we are left with a small number of degrees of freedom well accounted for by the theory of dissipative dynamical systems. Intrinsic stochas-ticity is then mainly synonymous of temporal chaos. In extended systems confinement effects are weak and spatial modulations are allowed, leading to the formation of patterns. A much larger number of degrees of freedom is then involved in the dynamics, which raises the problem of the transition to weak turbulence.


Partial Differential Equation Directed Percolation Turbulent Spot Laminar State Plane Poiseuille Flow 
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Copyright information

© Plenum Press, New York 1990

Authors and Affiliations

  • Paul Manneville
    • 1
  1. 1.Institut de Recherche FondamentaleDPh-G/PSRM, Centre d’Etudes Nucléaires de SaclayGif-sur-Yvette CedexFrance

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