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To reproduce and then go beyond the results of FPU, Fig. 1, and take
it to , use and . With this
choice the energies can be measured every 1000 time steps. A
conservative choice of with 1,000,000 time steps seems to
work well. The initial displacement should be proportional to , but normalized so the maximum displacement (in the middle)
is 1. The initial velocity should be zero. You will find that your
initial energy in this mode is considerably smaller than the FPU
value. They apparently multiplied all energies (which are in
arbitrary units anyway) by 4000 for ease of plotting.

Carleton DeTar
2005-11-07