This is a non-technical survey of chaotic systems. It is based on a one-hour class given largely unchanged to first year undergraduate Physics students, to upper year liberal arts students, and to upp...This is a non-technical survey of chaotic systems. It is based on a one-hour class given largely unchanged to first year undergraduate Physics students, to upper year liberal arts students, and to upper year Physics majors and specialists. The emphasis is on the properties that all chaotic systems exhibit. A secondary emphasis is the fact that most work on these systems is impossible without computing technology.
In that work, he examined numerical solutions of the following system of three nonlinear, ordinary differential equations, \[\begin{aligned} \dot{q}_{1} &=a_{1}\left(q_{2}-q_{1}\right) \\ \dot{q}_{2} ...In that work, he examined numerical solutions of the following system of three nonlinear, ordinary differential equations, ˙q1=a1(q2−q1)˙q2=a2q1−q2−q1q3,˙q3=q1q2−a3q3, as a rudimentary model of heat transfer through a horizontal layer of fluid separating two solid plates. (Experiment shows that if the bottom plate is kept hotter than the top one, the liquid may exhibit turb…
