A computer package for the study of Discrete Dynamical Systems and Difference Equations

Department of Mathematics

University of Rhode Island

Kingston, RI 02881

*Dynamica*
is a computer package,
written in Mathematica, intended for use in the study of difference
equations
and discrete dynamical systems.

*Dynamica*
implements a series of
tools and techniques of algebraic, numerical, and graphical nature used
in the study of difference equations. These include:

- Finding equilibrium and periodic points.
- Classifying the stability character of equilibrium and periodic points.
- Semicycle analysis of solutions.
- Calculation and visualization of invariants (first integrals).
- Calculation and visualization of Lyapunov functions.
- Plotting bifurcation diagrams.
- Visualization of stable and unstable manifolds.
- Calculation and visualization of Lyapunov numbers.
- Calculation of Box Dimension.

To find out more about Difference Equations at the University of Rhode Island, visit www.math.uri.edu/~kulenm/diffeqaturi/dehomepage.html .

The main
reference and manual for Dynamica
is the book Discrete Dynamical Systems and Difference Equations with
Mathematica,
by M.R.S. Kulenovic and O. Merino, Chapman&Hall/CRC Press,
2002,
For a short description of the book, go to www.crcpress.com For a list of corrections to the first edition of the book click here |