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Dynamics of the solution of Bratu's equation

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Author
Çağlar, Hikmet
Çağlar, Nazan
Özer, Mehmet
Valaristos, Antonios
Miliou, Amalia N.
Anagnostopoulos, Antonios N.
Type
Article
Date
2009-12-15
Language
en_US
Metadata
Show full item record
Abstract
In the present report we examine the dynamics exhibited by the solution of Bratu's equation. It represents a one-dimensional map with control parameter theta. For certain values of the parameter theta it exhibits successive bifurcations and shows chaotic regimes. This behaviour was confirmed by calculating the corresponding Lyapunov exponent, power spectra and cobweb diagrams, indicating similarities with other well-known one-dimensional maps. (C) 2008 Elsevier Ltd. All rights reserved.
Subject
Bratu's equations
Power spectra
Cobweb diagrams
Lyapunov exponents
chaos
Bratu denklemleri
güç spektrumu
örümcek ağı diyagramları
Lyapunov üsteli
kaos
URI
http://hdl.handle.net/11413/1222
Collections
  • Makaleler / Articles [293]
  • Makaleler / Articles [24]
  • Makaleler / Articles [209]
  • Scopus Publications [724]
  • WoS Publications [1016]

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İstanbul Kültür University

Hakkında |Politika | Kütüphane | İletişim | Send Feedback | Admin

Istanbul Kültür University, Ataköy Campus E5 Karayolu Üzeri Bakırköy 34158, İstanbul / TURKEY
Copyright © İstanbul Kültür University

Creative Commons Lisansı
IKU Institutional Repository, Creative Commons Alıntı-GayriTicari-Türetilemez 4.0 Uluslararası Lisansı ile lisanslanmıştır.

Designed by  UNIREPOS