Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 5, Issue 2


Published
on

November 16, 2020


Pages

279-292


DOI

Article

Dynamics of conformal foliations

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Authors

Nina I. Zhukova Affiliation:
National Research University Higher School of Economics, Laboratory of Dynamical Systems and Applications, 25/12, Bolshaya Pecherskaya St., Nizhny Novgorod, 603155, Russia


Abstract

The purpose of this article is to review the author's results on the existence and structure of minimal sets and attractors of conformal foliations. Results on strong transversal equivalence of conformal foliations are also presented. Connections with works of other authors are indicated. Examples of conformal foliations with exceptional, exotic and regular minimal sets which are attractors are constructed.


Keywords

conformal foliation, attractor, minimal set, global attractor, conformal transformation, 53C12, 57R30, 35B41


Citation

Zhukova, N. I. (2020). Dynamics of conformal foliations. Applied Mathematics and Nonlinear Sciences, 5(2), 279–292. https://doi.org/10.2478/amns.2020.2.00051

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