This post will reproduce a three plots from a paper of Hénon on dynamical systems from 1969 [1]. Let α be a constant, and pick some starting point in the plane, (x0, y0), then update x and y according to xn+1 = xn cos α − (yn − xn²) sin α yn+1 = xn sin […] The post Hénon’s dynamical system first appeared on John D. Cook .
A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems. The post Mathematicians Set Numbers in Motion to Unlock Their Secrets first appeared on Quanta Magazine
