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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2013, Volume 15, Number 2, Pages 23–26 (Mi svmo379)

This article is cited in 1 paper

A model of fast kinematic dynamo

E. V. Zhuzhomaa, V. S. Medvedevb

a Nizhny Novgorod State Pedagogical University
b Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod

Abstract: We construct a diffeomorphism having a positive entropy, and the stored volume, three-dimensional sphere. Thus, in the space conservative diffeomorphisms of a neighborhood in which the diffeomorphisms have positive topological entropy.

Keywords: topological entropy, a conservative diffeomorphism, kinematic dynamo, dynamics of magnetic fields.

UDC: 517.938

Received: 07.07.2013



© Steklov Math. Inst. of RAS, 2025