MS#133. Image Entropy for Discrete Dynamical Systems, 2011
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.
Subjects: Dynamics
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.
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Last revised by Ralph Abraham