Title :
Entropy, Lyapunov exponents, and Hausdorff dimension in differentiable dynamical systems
fDate :
8/1/1983 12:00:00 AM
Abstract :
This is an expository article on the interrelations between three concepts in differentiable dynamical systems: Entropy, Lyapunov exponents, and Hausdorff dimension. The paper begins with an introduction to these concepts and includes a discussion of some recent results.
Keywords :
Entropy; Lyapunov methods, nonlinear systems; Nonlinear mathematics; Nonlinear systems; Accuracy; Chaos; Difference equations; Eigenvalues and eigenfunctions; Entropy; Extraterrestrial measurements; H infinity control; Information theory; Mathematical model; Mathematics;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1983.1085395