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4 papers
Newton flows for elliptic functions IV, Pseudo Newton graphs: bifurcation & creation of flows
G. F. Helminck, F. Twilt
An elliptic Newton flow is a dynamical system that can be interpreted as a continuous version of Newton's iteration method for finding the zeros of an elliptic function f. Previous…
Newton flows for elliptic functions II Structural stability: Classification & Representation
G. F. Helminck, F. Twilt
In our previous paper we associated to each non-constant elliptic function on a torus a dynamical system, the elliptic Newton flow corresponding to . We characterized th…
Newton flows for elliptic functions III Classification of order Newton graphs
G. F. Helminck, F. Twilt
A Newton graph of order is a cellularly embedded toroidal graph on vertices, edges and faces that fulfils certain combinatorial properties (Euler, Ha…
Newton flows for elliptic functions I Structural stability: Characterization & Genericity
G. F. Helminck, F. Twilt
Newton flows are dynamical systems generated by a continuous, desingularized Newton method for mappings from a Euclidean space to itself. We focus on the special case of meromorphi…