Technical Setup
In order to run this tutorial properly, you must alter
your .mailcap and
.mime.types files so that the
viewer knows what to do with the XPP files that are used in
the tutorial. If you already have these files in your home directory,
just add the lines in the two files to your existing ones. You also
must be able to run XPP on your local machine. The command to
call XPP must be xpp (The default compiled version
is xppaut thus, you should make a link to that called xpp
or just change it's name. Or, just change the xpp in
the .mime.types and .mailcap files to
xppaut .)
Since this tutorial takes a long time to run you might want to try it locally rather than over the network. In that case, get the compressed tarred files put them in a directory, uncompress and untar them. Then load start.html into your viewer.
Just ftp the program from ftp.math.pitt.edu/pub/bardware and pick up xppaut1.x.tar.Z and (possibly) f2clibs.tar.Z or just pick up the binary for your computer.
Technical notes and setup
Introduction
Discrete dynamics
Continuous
dynamics
Creating
and running an ODE file
Quitting
Basics
Integrating equations
Changing parameters
Graphics tricks
Changing initial conditions
Examining the numbers
Fixed points and stability
Stability window
Homework 1.1
Homework 1.2
Nonlinear ODEs
User
defined functions
Auxiliary quantities
Homework
1.3
Fixed
quantities
Homework
1.4
Multiple equilibria and hysteresis
Numerics menu
Creating another window
Homework
1.5
AUTO for
the first time
Two
parameter curves and the cusp
Homework
1.6
Two-dimensional systems
More
plotting tricks
Homework
2.1
Periodics
and phase-plane analysis
Nullclines
Three-d
windows and kinescope
Homework
2.2
The Hopf
bifurcation theorem -- AUTO II
Frequency
information
Homework
2.3
Homework
2.4
Beyond 2
dimensions
Averaging and weakly coupled oscillators
Response
and interaction functions
Symmetric
coupling
Homework
3.1
Homework
3.2
Phase equations
Poincare maps
Invariant density
The
standard map
Cobwebbing
Discrete
dynamics
Homework
3.3
Chaos
The
simplest chaotic ODE
Period
doubling cascades
Three-d views
Chaos at
last
Poincare Map II
Liapunov
exponents
Homework 5.1
Table of Contents
Main Menu Items
ODE Files and Examples
Numerics Menu
File Menu
Freeze Menu
AUTO Menu
I/O and Hardcopy
XPP Basics
Nonlinear ODEs
Two-dimensions
Three-dimensions
and Beyond
Phase Equations
Chaos