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A model of fast kinematic dynamo

E.V. Zhuzhoma1, V.S. Medvedev2, A. E. Shishenkova3

AnnotationWe 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.
KeywordsTopological entropy, a conservative diffeomorphism, kinematic dynamo, dynamics of magnetic fields

1Professor of mathematical analysis, theory and methodology of training, Nizhny Novgorod State Pedagogical University, Nizhny Novgorod;  zhuzhoma@mail.ru.

2Senior Staff Scientist, Institute of Applied Mathematics and Cybernetics, Nizhny Novgorod;  medvedev@unn.ac.ru.

3Assistant professor of department of higher mathematic, Agriculture Academy of Nizhniy Novgorod, Nizhnii Novgorod, vgrines@yandex.ru

Citation: E.V. Zhuzhoma, V.S. Medvedev, A. E. Shishenkova, "[A model of fast kinematic dynamo]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,15:2 (2013) 23–26 (In Russian)