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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.
- [PDF] 21 pages, 1.0 MB
Last revised
by Ralph Abraham
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