Dynamics: Numerical Explorations, w. diskette (8,9 cm)

Preface
1. Getting the program running
1. 1 The Dynamics program and hardware Smalldyn: a small version of Dynamics
1. 2 Getting started with Dynamics Using the mouse Appendix: description of the interrupts
1. 3 Questions
2. Samples of Dynamics: pictures you can make simply
2. 1 Introduction
Example 2- 1a: Plot a trajectory
Example 2- 1b: Draw a box
Example 2- 1c: Viewing the Parameter Menu
Example 2- 1d: Refresh the screen and continue plotting
Example 2- 1e: Clear the screen and continue plotting
Example 2- 1f: Single stepping through a trajectory
Example 2- 1g: Plot a cross at current position
Example 2- 1h: Draw axes and print picture
Example 2- 1i: Initializing
Example 2- 1j: Viewing the Y Vectors
Example 2- 1k: Find a fixed point
Example 2- 1l: Find a period 2 orbit
Example 2- 1m: Search for all periodic points of period 5
Example 2- 1n: Change RHO
Example 2- 1o: Plotting permanent crosses
Example 2- 1p: Set storage vector y 1 and initialize
Example 2- 1q: Change X Scale or Y Scale
2. 2 Complex pictures that are simple to make
Example 2- 2a: Chaotic attractor
Example 2- 2b: Computing Lyapunov exponents
Example 2- 2c: Plotting trajectory versus time
Example 2- 3a: Graph of iterate of one dimensional map
Example 2- 3b: Cobweb plot of a trajectory
Example 2- 3c: Plotting trajectory versus time
Example 2- 4: The Henon attractor
Example 2- 5: The first iterate of a quadrilateral
Example 2- 6: Plotting direction field and trajectories
Example 2- 7: Bifurcation diagram for the quadratic map
Example 2- 8: Bifurcation diagram with bubbles
Example 2- 9: All the Basins and Attractors
Example 2- 10: Metamorphoses in the basin of infinity
Example 2- 11: Search for all periodic points with period 10
Example 2- 12: Search for all period 1 and period 2 points
Example 2- 13: Following orbits as a parameter is varied
Example 2- 14: The Mandelbrot set
Example 2- 15: All the Basins and Attractors