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| Limited information from
integral curves
Simultaneous plotting of large families of integral curves gives important additional information -- e.g. about stability of the flow. But there is more: Here observe that all trajectories were initialized along one line, and those near the equilibrium have a “period” pretty much independent of the “amplitude” (i.e. nearly linear behavior), trajectories further away fall behind rapidly (also due to slow speed near the saddle point). Nonetheless, the curves alone canNOT make the connection to div and curl, i.e. to vector calculus.
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