Nondegenerate Saddle Points and the Absence of Mixing in Flows on Surfaces

A. V. Kochergin

Informatics and Automation, Dynamical systems and optimization, Tome 256 (2007), pp. 252-266.

Résumé

A detailed proof of the absence of mixing is presented for a special flow constructed by an arbitrary rotation of the circle and by a symmetric function with logarithmic singularities (i.e., a function for which the sums of the coefficients of logarithms for “right” and “left” singularities are equal).

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