A Poincare recurrence occurs when the state of a volume-preserving flow map (e.g. 2-D image) returns to a close approximation of the initial condition after a period of time (usually very long). Theoretically, this is related to ergodic theory and the evolution of Hamiltonian systems . As such, the dynamics of a Poincare recurrence can also be illustrated as a chaotic Poincare map (inset B, left) or a deterministic Baker’s map (inset B, right).
Next up, LinkedIn has a new feature that allows you to visualize your professional social network. It plots all of your first-order connections on the basis of shared connections and other attributes.
Now, similar techniques have been used to make the world’s first atomic-scale animated short film “A Boy and His Atom” . A “Star Trek” logo is also possible .
 Google “Nick Cage vampire” for more information.
 Image/illustration is courtesy of the Max Planck institute for Complex Systems and Crutchfield, J. et.al Chaos. Scientific American, December (1986).
 it may also be the mechanism behind deja vu in “The Matrix” trilogy.
 Eigler, D.M. and Schweizer, E.K. Positioning single atoms with a scanning tunnelling microscope. Nature, 344, 524-526 (1990).
 Johnson, D. IBM Makes Smallest Movie Ever. IEEE Nanoclast Blog, May 1 (2013).
 Pachal, P. IBM Manipulates Atoms to Create the World’s Smallest Movie. Mashable, May 1 (2013).
IBM Research, “A Boy and His Atom”. YouTube, April 30 (2013).
 Kramer, M. IBM Warps Atoms into Crazy “Star Trek” Art. Space.com, May 3 (2013).