On a topological problem of strange attractors

Ibrahim Kirat; Ayhan Yurdaer

On a topological problem of strange attractors

Ibrahim Kirat, Ayhan Yurdaer

Matematik Bölümü

Istanbul Technical University

Araştırma sonucu: Konferansa katkı › Yazı › bilirkişi

Özet

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.

Orijinal dil	İngilizce
Sayfalar	303-308
Sayfa sayısı	6
Yayın durumu	Yayınlandı - 2013
Etkinlik	6th International Conference on Chaotic Modeling and Simulation, CHAOS 2013 - Istanbul, Turkey Süre: 11 Haz 2013 → 14 Haz 2013

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???event.eventtypes.event.conference???	6th International Conference on Chaotic Modeling and Simulation, CHAOS 2013
Ülke/Bölge	Turkey
Şehir	Istanbul
Periyot	11/06/13 → 14/06/13

Bibliyografik not

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

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Alıntı Yap

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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.",

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author = "Ibrahim Kirat and Ayhan Yurdaer",

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AU - Yurdaer, Ayhan

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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

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M3 - Paper

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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

Özet

???event.eventtypes.event.conference???

Bibliyografik not

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