Wednesday, March 4, 2009
Problem sheet 6
I have made some amendments to problem sheet 6 (new version is found under link in lhs margin). In question 1 we look for equilibria near the equilibrium (x,y)=(0,0) at parameter value lambda=0. In question 2 there is no need to assume that algebraic and geometric multiplicities of eigenvalue zero are equal to each other, so this is a confusing detail that I have deleted from the question. Moreover, in question 6, U is a neighbourhood of x_0 and we need to add the fact that V(x)>0 for all x in U\{x_0}.
# posted by Jeroen Lamb @ 4:41 PM 
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