<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

Data publikacji: 16 lis 2020

Zakres stron: 279 - 292

Otrzymano: 29 gru 2019

Przyjęty: 05 kwi 2020

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

Słowa kluczowe
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

Data publikacji: 16 lis 2020

Zakres stron: 279 - 292

Otrzymano: 29 gru 2019

Przyjęty: 05 kwi 2020

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

Słowa kluczoweconformal 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.

Słowa kluczowe
conformal foliation, attractor, minimal set, global attractor, conformal transformation