Experimental verification of the butterfly attractor in a modified Lorenz system

S. Özoǧuz; A. S. Elwakil; M. P. Kennedy

doi:10.1142/S0218127402005364

Experimental verification of the butterfly attractor in a modified Lorenz system

S. Özoǧuz^*
, A. S. Elwakil
, M. P. Kennedy

^*Bu çalışma için yazışmadan sorumlu yazar

Elektronik ve Hab.Müh.Bölümü

Egyptian Atomic Energy Authority
University of Sharjah
University College Cork

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

65 Atıf (Scopus)

Özet

An electronic circuit realization of a modified Lorenz system, which is multiplier-free, is described. The well-known butterfly chaotic attractor is experimentally observed verifying that the proposed modified system does capture the essential dynamics of the original Lorenz system. Furthermore, we clarify that the butterfly attractor is a compound structure obtained by merging together two simple attractors after performing one mirror operation.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1627-1632
Sayfa sayısı	6
Dergi	International Journal of Bifurcation and Chaos
Hacim	12
Basın numarası	7
DOI'lar	https://doi.org/10.1142/S0218127402005364
Yayın durumu	Yayınlandı - Tem 2002

Belgeye Erişim

10.1142/S0218127402005364

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Experimental verification of the butterfly attractor in a modified Lorenz system",

abstract = "An electronic circuit realization of a modified Lorenz system, which is multiplier-free, is described. The well-known butterfly chaotic attractor is experimentally observed verifying that the proposed modified system does capture the essential dynamics of the original Lorenz system. Furthermore, we clarify that the butterfly attractor is a compound structure obtained by merging together two simple attractors after performing one mirror operation.",

keywords = "Butterfly chaos, Chaotic oscillators, Lorenz equations",

author = "S. {\"O}zoǧuz and Elwakil, \{A. S.\} and Kennedy, \{M. P.\}",

year = "2002",

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doi = "10.1142/S0218127402005364",

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volume = "12",

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T1 - Experimental verification of the butterfly attractor in a modified Lorenz system

AU - Özoǧuz, S.

AU - Elwakil, A. S.

AU - Kennedy, M. P.

PY - 2002/7

Y1 - 2002/7

N2 - An electronic circuit realization of a modified Lorenz system, which is multiplier-free, is described. The well-known butterfly chaotic attractor is experimentally observed verifying that the proposed modified system does capture the essential dynamics of the original Lorenz system. Furthermore, we clarify that the butterfly attractor is a compound structure obtained by merging together two simple attractors after performing one mirror operation.

AB - An electronic circuit realization of a modified Lorenz system, which is multiplier-free, is described. The well-known butterfly chaotic attractor is experimentally observed verifying that the proposed modified system does capture the essential dynamics of the original Lorenz system. Furthermore, we clarify that the butterfly attractor is a compound structure obtained by merging together two simple attractors after performing one mirror operation.

KW - Butterfly chaos

KW - Chaotic oscillators

KW - Lorenz equations

UR - https://www.scopus.com/pages/publications/0036658347

U2 - 10.1142/S0218127402005364

DO - 10.1142/S0218127402005364

M3 - Article

AN - SCOPUS:0036658347

SN - 0218-1274

VL - 12

SP - 1627

EP - 1632

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 7

ER -

Experimental verification of the butterfly attractor in a modified Lorenz system

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

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