<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Dynamics of conformal foliations

National Research University Higher School of Economics

Laboratory of Dynamical Systems and Applications

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Dynamics of conformal foliations"}

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...

Dynamics of conformal foliations

Published Online: Nov 16, 2020

Page range: 279 - 292

Received: Dec 29, 2019

Accepted: Apr 05, 2020

DOI: https://doi.org/10.2478/amns.2020.2.00051

Keywords
conformal foliation, attractor, minimal set, global attractor, conformal transformation

© 2020 Nina I. Zhukova, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Dynamics of conformal foliations

Published Online: Nov 16, 2020

Page range: 279 - 292

Received: Dec 29, 2019

Accepted: Apr 05, 2020

DOI: https://doi.org/10.2478/amns.2020.2.00051

Keywordsconformal foliation, attractor, minimal set, global attractor, conformal transformation

© 2020 Nina I. Zhukova, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
conformal foliation, attractor, minimal set, global attractor, conformal transformation