• Home
  • About
  • Policies
  • Contact
    • Türkçe
    • English
  • English 
    • Türkçe
    • English
  • Login
Advanced Search
View Item 
  •   Home
  • Fen Edebiyat Fakültesi / Faculty of Letters and Sciences
  • Fizik / Physics
  • Makaleler / Articles
  • View Item
  •   Home
  • Fen Edebiyat Fakültesi / Faculty of Letters and Sciences
  • Fizik / Physics
  • Makaleler / Articles
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

The relaxed Newton method derivative: Its dynamics and non-linear properties

Thumbnail
Author
Özer, Mehmet
Polatoğlu, Yaşar
Valaristos, Antonios
Miliou, Amalia N.
Anagnostopoulos, Antonios N.
Cenys, Antanas
Hacibekiroğlu, Gürsel
Type
Article
Date
2008-04-01
Language
en_US
Metadata
Show full item record
Abstract
The dynamic behaviour of the one-dimensional family of maps f(x) = c(2)[(a - 1)x + c(1)](-lambda/(alpha-1)) is examined, for representative values of the control parameters a, c(1), c(2) and lambda. The maps under consideration are of special interest, since they are solutions of the relaxed Newton method derivative being equal to a constant a. The maps f(x) are also proved to be solutions of a non-linear differential equation with outstanding applications in the field of power electronics. The recurrent form of these maps, after excessive iterations, shows, in an x(n) versus lambda plot, an initial exponential decay followed by a bifurcation. The value of lambda at which this bifurcation takes place depends on the values of the parameters a, c(1) and c(2). This corresponds to a switch to an oscillatory behaviour with amplitudes of f(x) undergoing a period doubling. For values of a higher than 1 and at higher values of lambda a reverse bifurcation occurs. The corresponding branches converge and a bleb is formed for values of the parameter c(1) between 1 and 1.20. This behaviour is confirmed by calculating the corresponding Lyapunov exponents. (c) 2007 Elsevier Ltd. All rights reserved.
Subject
relaxed Newton method
bifurcation
çatallanma
URI
http://hdl.handle.net/11413/1206
Collections
  • Makaleler / Articles [293]
  • Scopus Publications [724]
  • WoS Publications [1016]

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

İKU Kütüphane


Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsTypeLanguageBy PublisherRightsPubmedScopusWoSThis CollectionBy Issue DateAuthorsTitlesSubjectsTypeLanguageBy PublisherRightsPubmedScopusWoS

My Account

Login

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