A computer package for the study of
Discrete Dynamical Systems
and Difference Equations
M. R. S. Kulenovic
and Orlando Merino
Dynamica Updated September 12, 2009
Department of Mathematics
University of Rhode Island
Kingston, RI 02881
is a computer package,
written in Mathematica, intended for use in the study of difference
and discrete dynamical systems.
Difference equations arise in
virtually all areas of science, mathematics
and engineering. Difference equations are discrete analogs of
implements a series of
tools and techniques of algebraic, numerical, and graphical nature used
in the study of difference equations. These include:
is easy to learn and use.
In very little time the new user may be ready to study complex
equations of which not much (maybe almost nothing!) is known.
equilibrium and periodic
the stability character
of equilibrium and periodic points.
analysis of solutions.
of invariants (first integrals).
of Lyapunov functions.
of stable and
of Lyapunov numbers.
of Box Dimension.
To find out
more about Difference Equations at the University of Rhode Island,
reference and manual for Dynamica
is the book Discrete Dynamical Systems and Difference Equations with
by M.R.S. Kulenovic and O. Merino, Chapman&Hall/CRC Press,
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