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Unformatted text preview: , 0) of the following system is asymptotically stable: x = 2 y 3-x 5 , y =-x-y 3 + y 5 . [Hint: construct a suitable Lyapunov function of the form ax 2 + y 4 ] IV. Periodic orbits Problem 36.1 [Also, give an argument based on the dissipation of energy] (X4) Draw the phase portrait for the (Rayleigh) equation x + ( x 3- x ) + x = 0 with = 1 and = . 1. Show the limit cycles. 1...
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This note was uploaded on 11/19/2010 for the course ANTH 122 taught by Professor 323 during the Spring '10 term at Centennial College.
- Spring '10