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Suppose that (q0,p0) is an equilibrium point of the following system: q' = H/p , p' = H/q where the' symbol indicates dierentiation with respect

Suppose that (q0,p0) is an equilibrium point of the following system: q' = H/p , p' = H/q where the' symbol indicates dierentiation with respect to time, t, and the function H is some function of p and q, such that H H(p,q). Show that such a dynamical system has no sinks or sources.

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