Preface | |
Getting the program running | |
The Dynamics program and hardware Smalldyn: a small version of Dynamics | |
Getting started with Dynamics Using the mouse Appendix: description of the interrupts | |
Questions | |
Samples of Dynamics: pictures you can make simply | |
Introduction Example | |
Plot a trajectory Example | |
Draw a box Example | |
Viewing the Parameter Menu Example | |
Refresh the screen and continue plotting Example | |
Clear the screen and continue plotting Example | |
Single stepping through a trajectory Example | |
Plot a cross at current position Example | |
Draw axes and print picture Example | |
Initializing Example | |
Viewing the Y Vectors Example | |
Find a fixed point Example | |
Find a period 2 orbit Example | |
Search for all periodic points of period 5 Example | |
Change RHO Example | |
Plotting permanent crosses Example | |
Set storage vector y1 and initialize Example | |
Change X Scale or Y Scale | |
Complex pictures that are simple to make Example | |
Chaotic attractor Example | |
Computing Lyapunov exponents Example | |
Plotting trajectory versus time Example | |
Graph of iterate of one dimensional map Example | |
Cobweb plot of a trajectory Example | |
Plotting trajectory versus time Example | |
The Henon attractor Example | |
The first iterate of a quadrilateral Example | |
Plotting direction field and trajectories Example | |
Bifurcation diagram for the quadratic map Example | |
Bifurcation diagram with bubbles Example | |
All the Basins and Attractors Example | |
Metamorphoses in the basin of infinity Example | |
Search for all periodic points with period 10 Example | |
Search for all period 1 and period 2 points Example | |
Following orbits as a parameter is varied Example | |
The Mandelbrot set Example | |
All the Basins and Attractors Example | |
3-Dimensional views on the Lorenz attractor Example | |
Unstable manifold of a fixed point Example | |
Stable and unstable manifolds Example | |
Plotting a Saddle Straddle Trajectory Example | |
The unstable manifold of a fixed point Example | |
The stable manifold of a fixed point Example | |
Saddle Straddle Trajectory, and manifolds Example | |
The basin of attraction of infinity Example | |
A trajectory on a basin boundary Example | |
A BST trajectory for the Tinkerbell map Example | |
Lyapunov exponent bifurcation diagram Example | |
Chaotic parameters Example | |
Box-counting dimension of an attractor Example | |
Zooming in on the Tinkerbell attractor Example | |
Period plot in the Mandelbrot set Appendix Commands for plotting a graph Commands from the Numerical | |
Explorations Menu Plotting multiple trajectories simultaneously | |
Screen utilities | |
Basic screen features (Screen Menu SM) | |
Commands for clearing the screen Commands for controlling the screen Level of Text output | |
Writing on pictures | |
The arrow keys and boxes (BoX Menu, BXM) | |
Initializing trajectories, plotting crosses, drawing circles and their iterates (Kruis Menu KM) | |
Drawing axes (AXes Menu AXM) | |
Windows and rescaling (Window Menu WM) Detailed view on the structure of an attractor | |
Zooming in or zooming out (ZOOm Menu ZOOM) | |
Setting colors (Color Menu CM and Color Table Menu CTM) Color screens Core copy of the picture | |
Color planes Commands for erasing colors | |
Utilities | |
Setting parameters (Parameter Menu PM) | |
Setting and replacing a vector (Vector Menu VM) Y Vectors "Own" and the coordinates of yââÇ âÅô | |
Setting step size (Differential Equation Menu DEM) | |
Saving pictures and data (Disk Menu DM) Creating a batch file of commands Commands for reading disk files | |
Setting the size of the core (Size of Core Menu SCM) | |
Printing pictures (PriNter Menu PNM) Commands for specifying printer | |
Encapsulated PostScript Commands for printer options | |
Text to printer Printing color pictures | |
Text to printer Printing color pictures | |
Printing pictures with any p | |
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