The use of chaos to transmit information is described. Chaotic dynamical systems, such as electrical oscillators with very simple structures, naturally produce complex wave forms. We show that theâ€¦ (More)

Physical review. E, Statistical physics, plasmasâ€¦

1996

Invariant sets embedded in a chaotic attractor can generate time averages that diier from the average generated by typical orbits on the attractor. Motivated by two diierent topics (namely,â€¦ (More)

The probability measure generated by typical chaotic orbits of a dynamical system can have an arbitrarily Sne-scaled interwoven structure of points with different singularity scalings. Recent workâ€¦ (More)

Physical review. E, Statistical physics, plasmasâ€¦

1994

Recently physical and computer experiments involving systems describable by continuous maps that are nondi8'erentiable on some surface in phase space have revealed novel bifurcation phenomena. Theseâ€¦ (More)

Using the Sensitive Dependence of Chaos (the "Butterfly Effect") to Direct Trajectories in an Experimental Chaotic System Troy Shinbrot, ' ' " ' William Ditto Celso Grebogi, ' ' " ' ' Edward Ott Markâ€¦ (More)

The average lifetime of a chaotic transient versus a system parameter is studied for the case wherein a chaotic attractor is converted into a chaotic transient upon collision with its basin boundaryâ€¦ (More)