Pointwise dimensions of the lorenz attractor.
We discuss a connection between two complementary views of the Lorenz attractor: the first is the accepted view where the attractor has a smooth measure on a fractal support. This complex system is alternatively manifest as a self-similar curve for the pointwise dimension alpha. We describe why the latter approach is accessible for the analysis of an experimental signal.
Gratrix
Sam
S
Department of Mathematics, Imperial College London, 180 Queen's Gate, London SW7 2AZ, United Kingdom.
Elgin
John N
JN