The Henon-Heiles Hamiltonian
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| (1) |
The initial conditions for numerical experiments that display the progressive disintegration of KAM surfaces are generated by the following for loop. Here, we obtain six sets, related to each value of H_0 respectively, with three different initial conditions each.
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| (2) |
A Hamiltonian in the context of general relativity
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| (3) |
Generate a set of one hundred lists of initial conditions, with t=0, q1=0, q2=0, p1 between -.2 and -.812, and p2 taking values to satisfy H=0.
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Distribute the 100 lists of initial conditions in a nonhomogeneous manner.
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Finally, create just one set with the desired ICs.