This article is cited in 1 paper

An example of a continuous flow on the torus with mixed spectrum

A. B. Krygin

M. V. Lomonosov Moscow State University

Abstract: In this paper an example is constructed of a flow on the torus $\dot x=\alpha F(x,y)$, $\dot y=F(x,y)$, $x$, $y\bmod1$, with continuous $F>0$ and irrational $\alpha$ which has a mixed spectrum.

UDC: 517.9

Received: 13.08.1973

 English version: Mathematical Notes, 1974, 15:2, 133–136

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