Abstract
On the nature of turbulence bifurcation in the presence of a symmetry group the ergodic theory of axiom A flows microscopic fluctuations and turbulence strange attractors measures describing a turbulent flow do turbulent crystals exist? characteristic exponents for a viscous fuid subjected to time dependent forces Bowen's formula for the Hausdorff dimension of self-similar sets Ergodic theory of chaos and strange attractors Lyapunov exponents from time series fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems where can one hope to profitably apply the ideas of chaos?
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