MS#133. Image Entropy for Discrete Dynamical Systems
In: Gian Italo Bischi, Carl Chiarella, and Iryna Sushko, eds.,
Global Analysis of Dynamic Models in Economics and Finance:
Esays in Honour of Laura Gardini, Springer, 2012; pp. 319-335.
Abstract: In the 1950s, Menzel, Stein, and Ulam performed one of the earliest digital
simulations of discrete dynamics in two-dimensions. In their work they created
a robot mathematician to scan the results of simulations for chaotic attractors.
Here I will extend their idea, using the image entropy concept to scan a family
of endomorphisms for explosive and catastrophic bifurcations.
[PDF] 21 pages, 1.0 MB