1-D Support

[sfogarty]

Be able to create the 1-D Cobweb Diagram and Bifurcation Diagram.

[cstein1]

Objects in this system:

• [ ] ds1dmodel( 1d function, color)
  • color is the color of the function drawn with a cobweb dsrange.
• [ ] dsrange( cobweb = TRUE, identityCol)
  • identityCol only works with cobweb, and draws the identity line that color.
• [ ] dscobweb( starting point, iters = inf, stride, color)
  • how is this different from a dspoint(showLines=true, iters=inf)? (this is identical to a dspoint = true)
• [ ] dspoint( x, color, image, iters, showLines = false)
  • [ ] If showLines is true, and the range isn't a cobweb, draw arcs between the lines. If it is a cobweb, ?? Draw arcs anyway? Or use cobweb?
• [ ] dssegment( start, end, color)
• [ ] dsarrows(discretize )
  • Can be arrows on the line.
  • could also be arcs? showArcs?

[sfogarty]

For cobweb, add dsrange to compute. Allow for no x or y (then compute automatically)

[kmclaren-trinity]

Code to create 1d Bifurcation is in Examples/1d-bifurcation.

It dosent use the best practice, though. better and simpler way is:

discretize parameter for each value of parameter, take a point, apply 500 times, then get the next 50 iterates in the orbit for each of the 50 iterates plot a point at point (parameter,iterate)