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Unformatted text preview: u being the coordinate along the center eigenspace. (b) (10 pts) Find the approximation for the center manifold v = h ( u ) of the xed point at ( u, v ) = (0 , 0) accurate to third order in u . (c) (5 pts) Use this to nd the equation u = g ( u ) for the dynamics on the center manifold accurate to fourth order in u . 1...
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This note was uploaded on 12/29/2011 for the course ME 215a taught by Professor Moehlis,j during the Fall '08 term at UCSB.
 Fall '08
 Moehlis,J

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