Please use this identifier to cite or link to this item:

Title: Symbolic dynamics for iterated smooth functions
Authors: Correia, Maria de Fátima
Ramos, Carlos
Vinagre, Sandra
Keywords: symbolic dynamics
infinite dimensional dynamical systems
iteration theory
smooth maps
one-dimensional maps
Issue Date: 2009
Publisher: Grazer Mathematische Berichte
Citation: M. F. Correia, C. C. Ramos and S. Vinagre, Symbolic dynamics for iterated smooth functions, 26-36.
Abstract: We consider the discrete dynamical system (A,T), where A is a class of smooth real functions defined on some interval and T:A→A is an operator Tφ:=foφ, where f is a function on the real line. Iteration of smooth maps appears naturally in the study of continuous difference equations and boundary value problems such as those in Romanenko et al [2], Severino et al [3], Sharkovsky et al [4]-[5], Vinagre et al [6]. In our work we develop some techniques of symbolic dynamics for the discrete dynamical system (A,T). We analyze in detail the case in which T arises from unimodal interval maps.
ISSN: 1016-7692
Type: article
Appears in Collections:MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

Files in This Item:

File Description SizeFormat
Abstract_GMB2009_FCCRSV.pdf103.97 kBAdobe PDFView/OpenRestrict Access. You can Request a copy!
FacebookTwitterDeliciousLinkedInDiggGoogle BookmarksMySpaceOrkut
Formato BibTex mendeley Endnote Logotipo do DeGóis 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.


Dspace Dspace
DSpace Software, version 1.6.2 Copyright © 2002-2008 MIT and Hewlett-Packard - Feedback
UEvora B-On Curriculum DeGois