3. (20 points) Consider the system in polar coordinates given by dr =(1-2)(4) dt do dt -- sino for 0

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3 20 Points Consider The System In Polar Coordinates Given By Dr 1 2 4 Dt Do Dt Sino For 0 X 1 A How Many Eq 1 (21.29 KiB) Viewed 61 times

3. (20 points) Consider the system in polar coordinates given by dr =(1-2)(4) dt do dt -- sino for 0<x<1. a) How many equilibria does this system have? How many limit cycles? b) Sketch the phase portrait of this system. Include at least one trajectory in each of the basic regions of the plane, and label arrows of motion on all nullclines. c) Use your sketch from (b) to classify the stability of all equilibria.