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DynaLab - Dynamical System Analysis

DynaLab is a teaching and learning tool designed in the run-time book paradigm, that stands alone as an introduction to the analysis of dynamical systems or may be used in conjunction with a course in that topic. Lessons authored by the program user may be illustrated by embedded dynamical system models of the user's design. The response of dynamical systems may be viewed as graphs vs time, data tables, phase space projections, 3D phase space orbits, orbit sections including return maps, vector fields with nullclines and manifolds displayed, or basins of attraction.

The program requires one of the 32 bit Windows operating systems, Win95/98/ME/2000/NT/XP, and 32 megabytes of RAM. The installed size of the program on the hard drive is about 2 megabytes. Click on the DLSetup link to download the installation program. Save it to a convenient location on your computer and run it to install DynaLab.

Data generated by the DynaLab models may be exported in tabular form for use in other programs. Also data in ASCII format may be imported. As part of the import algorithm, attractor reconstruction through delayed variables is available.

Many lessons are included with the program. These lessons were chosen to introduce some of the concepts used in the modern study of dynamical systems as well as to illustrate the capabilities of this program. A student who works through these examples in the order in which they are presented will be well positioned to succeed in a first course in dynamical sytems taught at leading universities. Some of the lessons are listed below.

1. The Simple Harmonic Oscillator
The simple harmonic oscillator is something that moves like a sine or cosine function.
2. The Simple Pendulum
The simple pendulum is a pendulum with a rigid rod connecting one bob to one pivot, not necessarily one whose motion is simple.
3. The Duffing Mechanical Oscillator
A nonlinear oscillator of the worst kind.
4. Systems in 1 Dimension
Population Growth, Predation Without Feedback, First Order Phase Transition, Delayed Variable
5. Systems in 2 Dimensions
Love Affairs, LRC Circuit, Predation With Feedback, Simple Harmonic Oscillator (again),
6. Systems in 3 Dimensions
Folded Band, Lorenz System, Process Controls

Below is a link to some screen shots of the program output.

DynaLab Screen Shots