Event
Applied Dynamics Seminar: James Yorke| University of Maryland
Thursday, April 20, 2017
12:30 p.m.
ERF 1207
Taylor Prendergast
301 405 4951
tprender@umd.edu
Speaker: James Yorke
Speaker's Institution: University of Maryland | Department of Mathematics
Title: Multi Chaos: A low dimensional Paradigm for higher-dimensional chaos
Abstract: The most frequently studied dynamical systems are low dimensional and all the periodic orbits in a chaotic set have the same number of unstable dimensions, but this property seems to fail in high dimensional systems. In this paper, we define a property called "multi-chaos", in which, along with the usual properties of chaos, there is a dense set of k-dimensionally unstable periodic orbits, and this holds for more than one k. We provide examples including a piecewise linear generalized Baker map.
