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MathGroup Archive 2006

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Re: cusp fold surface

  • To: mathgroup at smc.vnet.net
  • Subject: [mg69837] Re: cusp fold surface
  • From: jmhigg at gmail.com
  • Date: Mon, 25 Sep 2006 03:52:52 -0400 (EDT)
  • References: <ef2tul$msr$1@smc.vnet.net>

I have a notebook on the unfolding of the pitch fork bifurcation that
you can download from

http://www.higgins.ucdavis.edu/UCDMath/NLDApplications.php

The notebook is called imperfect bifurcation

The notebook shows how to plot the 3 dimensional surface (the
catastrophe surface) that displays the unfolding of the bifurcation
point.

Cheers,

Brian

dwarnold45 at cox.net wrote:
> All,
>
> Has anyone done a bifurcation analysis of dx/dt=h+rx-x^3, where h and r
> are parameters?
>
> I am looking for some mathematica code that will darw cusp catastrophe
> surface above bifurcation curves in the (r,h) plane.
> 
> Thanks.


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