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math.DS2006
On Poincaré's Fourth and Fifth Examples of Limit Cycles at Infinity
Roland K. W. Roeder
Errors are found in example problems from Henri Poincaré's paper ``Mémoire sur les courbes définies par une équation différentielle.'' Examples four and five from chapter seven and…
math.DS2006
A degenerate Newton's Map in two complex variables: linking with currents
Roland K. W. Roeder
Little is known about the global structure of the basins of attraction of Newton's method in two or more complex variables. We make the first steps by focusing on the specific Newt…