The systemx = y, y = y x(x 0.15)(x 2)results from an approximation to the HodgkinHuxley5
Chapter 9, Problem 12(choose chapter or problem)
The systemx = y, y = y x(x 0.15)(x 2)results from an approximation to the HodgkinHuxley5 equations, which model thetransmission of neural impulses along an axon.(a) Find the critical points, and classify them by investigating the approximate linearsystem near each one.(b) Draw phase portraits for = 0.8 and for = 1.5.(c) Consider the trajectory that leaves the critical point (2, 0). Find the value of forwhich this trajectory ultimately approaches the origin as t . Draw a phase portraitfor this value of .
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