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q11-sol - Math 454 Quiz#11 Fall 2008 Sect 1 Problem...

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Unformatted text preview: Math 454 Quiz #11 Fall 2008 Sect. 1 Problem. Consider the equations i=—y+uw+xy2 y=w+uy—$2 (a) Linearize the equations at the fixed point (0, 0). (b) Find the value no at which a Hopf bifurcation occurs. You must show all relevant work to receive full credit. >2 :1 ~amw + OW) 8 ‘~‘-‘ x+flt§ + 005‘) L I 46 d l é;iMTWM__w—www , 2 M 'l 96 i i (if ( l 2” U)! ...
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