Bifurcations of Fibonacci generating functions

ÖZER M., Cenys A., Polatoglu Y., Hacibekiroglu G., Akat E., Valaristos A., ...Daha Fazla

CHAOS SOLITONS & FRACTALS, cilt.33, sa.4, ss.1240-1247, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 4
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.chaos.2006.01.095
  • Dergi Adı: CHAOS SOLITONS & FRACTALS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1240-1247
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

In this work the dynamic behaviour of the one-dimensional family of maps F-p,F-q(x) = 1/(1 - px - qx(2)) is examined, for specific values of the control parameters p and q. Lyapunov exponents and bifurcation diagrams are numerically calculated. Consequently, a transition from periodic to chaotic regions is observed at values of p and q, where the related maps correspond to Fibonacci generating functions associated with the golden-, the silver- and the bronze mean. (c) 2006 Elsevier Ltd. All rights reserved.