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math.DS2011★ 2 cited
Unfoldings of singular Hopf bifurcation
John Guckenheimer, Philipp Meerkamp
Singular Hopf bifurcation occurs in generic families of vector-fields with two slow variables and one fast variable. Normal forms for this bifurcation depend upon several parameter…
math.DS2011
Hausdorff dimension and biaccessibility for polynomial Julia sets
Philipp Meerkamp, Dierk Schleicher
We investigate the set of biaccessible points for connected polynomial Julia sets of arbitrary degrees . We prove that the Hausdorff dimension of the set of external angle…