Please read Notes and Credits before clicking the green flag.
This project is the second in a series of projects designed to build understanding of the concept of a strange attractor. The equations for the Tinkerbell Attractor follow: x(n+1) = x*x – y*y + ax(n) + by(n) y(n+1) = 2x(n)y(n) + cx(n) + dy(n) … the parameters for this project are: a= 0.9, b = -0.6013, c = 2.9, d =0.5 Note that the equations ARE NOT differential equations like those in the Lorenz Attractor. The Tinkerbell Attractor is a discrete-time dynamical system. To see this… Click on the green flag but do not shift into turbo just yet. Note that the points HOP from one part of the attractor to another part. This behavior is characteristic of discrete-time dynamical systems. Now shift to turbo to see the attractor. Can you identify other discrete-time attractors in this Studio? •••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••• For a continuous-time dynamical system see my project What Is a Strange Attractor at https://scratch.mit.edu/projects/303824127/ *********************************************************************
