Dynamics

Numerical Explorations

By: Helena E. Nusse (Editor), James A. Yorke (Editor)

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Hardcover | 19 December 1997 | Edition Number 2

At a Glance

Hardcover
640 Pages

Edition Type
Revised

Dimensions(cm)
23.39 x 15.6 x 3.51

Hardcover

$249.00

or 4 interest-free payments of $62.25 with

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The Dynamics program and handbook allows the reader to explore nonlinear dynamics and chaos by the use of illustrated graphics. It is suitable for research and educational needs. This new edition allows the program = to run 3 times faster on the processes that are time consuming. Other major changes include: 1. There will be an add-your-own equation facility. This means it = will be unnecessary to have a compiler. PD and Lyanpunov exponents and Newton method for finding periodic orbits can all be carried out numerically without adding specific code for partial derivatives. 2. The program will support color postscript. 3. New menu system in which the user is prompted by options when a command is chosen. This means that the program is much easier to learn and to remember in comparison to current version. 4. Mouse support is added. 5. The program will be able to use the expanded memory available on modern PC's. This means pictures will be higher resolution. There are also many minor chan ce much of the source code will be available on the web, although some of ges such as zoom facility and help facility. =20 6. Due to limited spa it willr emain on the disk so that the unix users still have to purchase the book. This will allow minor upgrades for Unix users.

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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
Table of Contents provided by Publisher. All Rights Reserved.

Dynamics

Numerical Explorations

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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