Aerospace Engineering

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    Paint by number: Uncovering phase flows of an integrable dynamical system
    (American Institute of Physics, 1991-09) Healy, Liam; Deprit, Etienne
    Given an integrable dynamical system with one degree of freedom, "painting" the integral over phase space proves to be a powerful technique for uncovering both global and local behavior. This graphical technique avoids numerical integration, employing instead a nonlinear method of assigning contrasting colors to the energy values to distinguish subtle details of the flow.