Source code

`henbif`

plot a bifurcation diagram for the Henon system

henbif -help
  or
henbif [-width  integer] [-height integer] [-skip integer]
       [-abmin double] [-abmax double] [-ab]  [-A  double]
       [-B  double] [-factor double] [-ymin double] [-ymax
       double] [-box integer] [-brmin double] [-brmax dou-
       ble]  [-bymin  double] [-bymax double] [-inv] [-mag
       integer] [-term string]

Plots a bifurcation diagram for the Hénon system. This is similar to bifur1d but shows that bifurcations apply to multidimensional systems as well.

A bifurcation diagram of the Henon system, which is described by the equation x(t+1) = A - x(t)^2 + B * x(t - 1), is plotted according to the specified parameters. Either of the parameters (A or B) can be varied in the plot.

Bugs

No sanity checks are performed to make sure that any of the options make sense.

Options

`-width`	Width of the plot in pixels.	640
`-height`	Height of the plot in pixels.	480
`-skip`	Number of initial points to skip.	500
`-abmin`	Smallest value for A (or B).	0.0
`-abmax`	Largest value for A (or B).	1.4
`-ab`	If TRUE, plot for A; B otherwise.	True
`-A`	Value of the A parameter.	1.29
`-B`	Value of the B parameter.	0.3
`-factor`	Multiplicative factor for iterates.	2.0
`-ymin`	Smallest value for y range.	-1.75
`-ymax`	Largest value for y range.	1.75
`-box`	Line width for a box.	0
`-brmin`	Smallest r-value for the box.	0.0
`-brmax`	Largest r-value for the box.	0.0
`-bymin`	Smallest value for box y range.	0.0
`-bymax`	Largest value for box y range.	0.0
`-inv`	Invert all colors?	False
`-mag`	Magnification factor.	1
`-term`	How to plot points.	None

henbif.c on GitHub