# Simple Plotter

### Description

This MATLAB GUI provides a simple way of visualizing bifurcation diagrams by plotting functions that depend on a single control parameter. One of the functions could for instance be the right-hand side of the normal form of a standard codimension-one bifurcation, and the second function could be equal to zero.

Each function should be defined using MATLAB notation. The independent variable should be entered as *x*, and the control parameter as *r*.

The *3D* button shows the graph of the two functions in three dimensions. If *f1* is the right-hand-side of a normal form and *f2* is zero, viewing the graph from above gives a representation of the bifurcation diagram, where the colors correspond to growth or decay.

### How to use the GUI

Use the "Setup" panel to define the two functions to be plotted, as well as upper and lower limits for the *x*-, *y*-, and *r*-axes.

Use the slider in the *Control parameter* panel to change the value of *r* and see how it affects the graphs of the two functions.

### Download

To download the GUI, right click on each of the links below, and save the corresponding files into a directory. Set the MATLAB path to that directory and then type `Plotter` at the MATLAB prompt.

Type `help Plotter` at the MATLAB prompt if you need to be reminded of how to use the GUI.

GUI developed by Joceline Lega, Spring 2006 and Fall 2008.