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Authors: Correia, Maria de Fátima
Ramos, Carlos
Vinagre, Sandra
Keywords: symbolic dynamics
infinite dimensional dynamical systems
m-modal maps
iteration theory
Issue Date: 2011
Publisher: International Journal of Pure and Applied Mathematics
Citation: M. F. Correia, C. C. Ramos and S. Vinagre, Iteration of differentiable functions under m-modal maps, 151-166.
Abstract: We consider the dynamical system (A,T), where A is a class of differentiable real functions defined on some interval and T:A→A is an operator Tφ:= foφ, where f is a function on the real line. In this work we introduce and develop some techniques of symbolic dynamics for the dynamical system (A,T). We analyze in detail the case in which T arises from a differentiable m-modal map f. In this case we obtain a combinatorial description of the orbits of (A,T) which depends on the combinatorial description of the orbits of one dimensional dynamical system induced by f on the interval.
ISSN: 1311-8080
Type: article
Appears in Collections:MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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