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1. Sketch the phase portrait of a planar dynamical system of having a tra- jectory I such that: (a) a(r) = w(r) = {xo} but
1. Sketch the phase portrait of a planar dynamical system of having a tra- jectory I such that: (a) a(r) = w(r) = {xo} but I # x0. (b) w(I) consists of exactly one (image of ) limit orbit. (c) w(I) consists of one (image of ) limit orbit and one equilibrium point. (Remember definitions, orbit * cycle). (d) w(I) consists of two limit orbits and one equilibrium point. (e) w(I) consists of two limit orbits and two equilibrium points
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