Social networks in nonlinear dynamics, chaos and fractals

Abstract

We show how the seeds of twentieth century mathematical Chaos Theory grew in the networks associated with the internal combustion engine and radio electronics. We trace the mathematical discoveries of Henri Poincare in France at the beginning of the twentieth century to the fluid mechanics weather models of Edward Lorenz at MIT and electrical circuits of Yoshisuke Ueda in Kyoto a half-century later. This example was chosen because of the author's close familiarity with chaotic and nonlinear dynamics. This example and the radio network show that the ideas of a network community for innovation go beyond the examples from mechanical science in Chaps. 1 - 4.