A images of tumor cells being vaporized in beams of colorful light, a video produced by the National Cancer Institute proclaims, “the science is at our fingertips.” The science being referred to, which is 80,000 times smaller than the breadth of a single ridge of skin on a human fingertip, is cancer nanotechnology. Nanotechnology, the study of science on a level the width of ten hydrogen atoms,...

We consider an autonomous system of partial differential equations for a onedimensional distributed medium with periodic boundary conditions. Dynamics in time consists of alternating birth and death of patterns with spatial phases transformed from one stage of activity to another by the doubly expanding circle map. So, the attractor in the Poincaré section is uniformly hyperbolic, a kind of Sma...