dd2 : Fixed Points of a Discrete Dynamical System.

  This demo illustrates the computation of a solution branch and its bifurcating branches for a discrete dynamical system. Also illustrated is the continuation of Naimark-Sacker (or Hopf) bifurcations The equations, a discrete predator-prey system, are

In the first run is free. In the second run, both and are free. The remaining equation parameter, , is fixed in both runs.

 

AUTO-COMMAND ACTION

mkdir dd2 create an empty work directory

cd dd2 change directory

@dm dd2 copy the demo files to the work directory

cp r.dd2.1 r.dd2 get the first constants-file

@r dd2 1st run; fixed point solution branches

@sv dd2 save output-files as p.dd2, q.dd2, d.dd2

cp r.dd2.2 r.dd2 constants changed : IRS, ISW

@r dd2 2nd run; a locus of Naimark-Sacker bifurcations

@sv ns save output-files as p.ns, q.ns, d.ns