Lyapunov spectrum of a model of twodimensional turbulence
Abstract
A scalar model of twodimensional NavierStokes turbulence first proposed by Gledzer is shown to realize the power law E(k)~k^{3} in its chaotic state, which is found to obey the same scaling law as that of the enstrophycascade theory. All the Lyapunov exponents are calculated for several values of viscosity, and they are found to have a scaling property in the interior of attractor. The calculated distribution function of the Lyapunov exponents appears to have a singularity at null Lyapunov exponent.
 Publication:

Physical Review Letters
 Pub Date:
 March 1988
 DOI:
 10.1103/PhysRevLett.60.983
 Bibcode:
 1988PhRvL..60..983Y
 Keywords:

 Chaos;
 Liapunov Functions;
 Magnetohydrodynamic Turbulence;
 NavierStokes Equation;
 Scaling Laws;
 Turbulence Models;
 Two Dimensional Flow;
 Energy Spectra;
 Kolmogoroff Theory;
 RungeKutta Method;
 Strange Attractors;
 Wave Functions;
 Physics (General);
 05.45.+b;
 47.25.Cg