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BY-NC-ND 3.0 license Open Access Published by De Gruyter June 2, 2014

Inverse Poincaré Halfmaps

Claus Kahlert

A family of critical curves that lie in the range of a class of Poincaré halfmaps induced by a saddle focus in three-space is investigated analytically. It comprises all "far final points" of the images of invariant curves that are subject to a separating mechanism. The number of branches occurring on a specific critical curve is directly related to the type of separating mechanism present in the halfmap. Moreover, universal properties of the saddle-focus dynamics are demonstrated for the first time.

Received: 1986-10-3
Published Online: 2014-6-2
Published in Print: 1987-2-1

© 1946 – 2014: Verlag der Zeitschrift für Naturforschung

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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