Physics – Mathematical Physics
Scientific paper
1998-05-20
Physics
Mathematical Physics
26 pages, 1 small figure
Scientific paper
10.1088/0951-7715/12/3/002
We define the topological entropy per unit volume in parabolic PDE's such as the complex Ginzburg-Landau equation, and show that it exists, and is bounded by the upper Hausdorff dimension times the maximal expansion rate. We then give a constructive implementation of a bound on the inertial range of such equations. Using this bound, we are able to propose a finite sampling algorithm which allows (in principle) to measure this entropy from experimental data.
Collet Pierre
Eckmann Jean-Pierre
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