Consider the family of symmetric towel maps (the towel terminology is due to S. Newhouse): This looks like a very natural generalization of quadratic interval maps, a step beyond the Viana maps of the form . These maps can also be understood as a coupling of two chaotic interval maps. One would like to prove [...]
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Backward and Forward with the Towel Map
Posted in musings, tagged chaos, computer simulations, Dynamics, entropy, pictures, smooth ergodic theory, towel map on February 23, 2009 | Leave a Comment »