Özer, MehmetCenys, AntanasHacıbekiroğlu, GürselAkat, ErcümentValaristos, A.Anagnostopoulos, A. N.POLATOĞLU, YAŞAR2016-04-202016-04-202007-080960-0779http://hdl.handle.net/11413/1038In 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.en-USmetallic means familyextended statesquasi-crystalslatticesmapstransitionspectraTracegenişletilmiş devletlerYarı-kristallerparmaklıklarharitalargeçişspektrumlarizBifurcations of Fibonacci generating functionsArticle2466097000162466097000162-s2.0-339472860712-s2.0-33947286071