On a topological problem of strange attractors

Ibrahim Kirat; Ayhan Yurdaer

On a topological problem of strange attractors

Ibrahim Kirat, Ayhan Yurdaer

Department of Mathematics Engineering

Istanbul Technical University

Research output: Contribution to conference › Paper › peer-review

Abstract

In this note, we consider self-affine attractors that are generated by an expanding n × n matrix (i.e. all of its eigenvalues have moduli > 1). Here we concentrate on the problem of connectedness. Although, there has been intensive study on the topic recently, this problem is not settled even in the one-dimensional case. We focus on some basic attractors, which have not been studied fully, and characterize connectedness.

Original language	English
Pages	303-308
Number of pages	6
Publication status	Published - 2013
Event	6th International Conference on Chaotic Modeling and Simulation, CHAOS 2013 - Istanbul, Turkey Duration: 11 Jun 2013 → 14 Jun 2013

Conference

Conference	6th International Conference on Chaotic Modeling and Simulation, CHAOS 2013
Country/Territory	Turkey
City	Istanbul
Period	11/06/13 → 14/06/13

Bibliographical note

Publisher Copyright:
© 2019 Institute of Mathematical Statistic. All rights reserved.

Keywords

Connectedness
Self-affine attractors
Self-affine tiles

Cite this

@conference{eb2fb6be2e504cfe8572b0acff2d7b47,

title = "On a topological problem of strange attractors",

abstract = "In this note, we consider self-affine attractors that are generated by an expanding n × n matrix (i.e. all of its eigenvalues have moduli > 1). Here we concentrate on the problem of connectedness. Although, there has been intensive study on the topic recently, this problem is not settled even in the one-dimensional case. We focus on some basic attractors, which have not been studied fully, and characterize connectedness.",

keywords = "Connectedness, Self-affine attractors, Self-affine tiles",

author = "Ibrahim Kirat and Ayhan Yurdaer",

note = "Publisher Copyright: {\textcopyright} 2019 Institute of Mathematical Statistic. All rights reserved.; 6th International Conference on Chaotic Modeling and Simulation, CHAOS 2013 ; Conference date: 11-06-2013 Through 14-06-2013",

year = "2013",

language = "English",

pages = "303--308",

}

TY - CONF

T1 - On a topological problem of strange attractors

AU - Kirat, Ibrahim

AU - Yurdaer, Ayhan

PY - 2013

Y1 - 2013

N2 - In this note, we consider self-affine attractors that are generated by an expanding n × n matrix (i.e. all of its eigenvalues have moduli > 1). Here we concentrate on the problem of connectedness. Although, there has been intensive study on the topic recently, this problem is not settled even in the one-dimensional case. We focus on some basic attractors, which have not been studied fully, and characterize connectedness.

AB - In this note, we consider self-affine attractors that are generated by an expanding n × n matrix (i.e. all of its eigenvalues have moduli > 1). Here we concentrate on the problem of connectedness. Although, there has been intensive study on the topic recently, this problem is not settled even in the one-dimensional case. We focus on some basic attractors, which have not been studied fully, and characterize connectedness.

KW - Connectedness

KW - Self-affine attractors

KW - Self-affine tiles

UR - https://www.scopus.com/pages/publications/85072330877

M3 - Paper

AN - SCOPUS:85072330877

SP - 303

EP - 308

T2 - 6th International Conference on Chaotic Modeling and Simulation, CHAOS 2013

Y2 - 11 June 2013 through 14 June 2013

ER -

On a topological problem of strange attractors

Abstract

Conference

Bibliographical note

Keywords

Other files and links

Fingerprint

Cite this