6 citations · 14 across the 6 of their papers we have counts for
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math.DS2004★ 6 cited
Constructing an expanding metric for dynamical systems in one complex variable
Suzanne Lynch Hruska
We describe a rigorous computer algorithm for attempting to construct an explicit, discretized metric for which a complex polynomial map is expansive on a given neighborhood of its…
math.DS2004
A numerical method for constructing the hyperbolic structure of complex Henon mappings
Suzanne Lynch Hruska
For complex parameters a,c, we consider the Henon mapping H_{a,c}: C^2 -> C^2 given by (x,y) -> (x^2 +c -ay, x), and its Julia set, J. In this paper, we describe a rigorous compute…
math.DS2004
Rigorous numerical models for the dynamics of complex Henon mappings on their chain recurrent sets
Suzanne Lynch Hruska
We describe a rigorous and efficient computer algorithm for building a model of the dynamics of a polynomial diffeomorphism of C^2 on its chain recurrent set, and for sorting point…