Substitution systems associated with the dynamical system (𝒜, Tf)*

Correia, Maria de Fátima, Ramos, Carlos, and Vinagre, Sandra. Fournier-Prunaret, D., Gardini, L., and Reich, L., eds. " Substitution systems associated with the dynamical system (𝒜, Tf)*." ESAIM: Proceedings 36 (2012): 159-169. <http://eudml.org/doc/251266>.

@article{Correia2012,
abstract = {We consider the dynamical system (𝒜, Tf), where 𝒜 is a class of differential real functions defined on some interval and Tf : 𝒜 → 𝒜 is an operator Tfφ := fοφ, where f is a differentiable m-modal map. If we consider functions in 𝒜 whose critical values are periodic points for f then, we show how to define and characterize a substitution system associated with (𝒜, Tf). For these substitution systems, we compute the growth rate of the new critical points, and observe that this growth is independent of the initial conditions.},
author = {Correia, Maria de Fátima, Ramos, Carlos, Vinagre, Sandra},
editor = {Fournier-Prunaret, D., Gardini, L., Reich, L.},
journal = {ESAIM: Proceedings},
keywords = {Infinite dimensional dynamical systems; Iteration theory; Symbolic dynamics; Substitution systems; infinite dimensional dynamical systems; iteration theory; symbolic dynamics; substitution systems},
language = {eng},
month = {8},
pages = {159-169},
publisher = {EDP Sciences},
title = { Substitution systems associated with the dynamical system (𝒜, Tf)*},
url = {http://eudml.org/doc/251266},
volume = {36},
year = {2012},
}

TY - JOUR
AU - Correia, Maria de Fátima
AU - Ramos, Carlos
AU - Vinagre, Sandra
AU - Fournier-Prunaret, D.
AU - Gardini, L.
AU - Reich, L.
TI - Substitution systems associated with the dynamical system (𝒜, Tf)*
JO - ESAIM: Proceedings
DA - 2012/8//
PB - EDP Sciences
VL - 36
SP - 159
EP - 169
AB - We consider the dynamical system (𝒜, Tf), where 𝒜 is a class of differential real functions defined on some interval and Tf : 𝒜 → 𝒜 is an operator Tfφ := fοφ, where f is a differentiable m-modal map. If we consider functions in 𝒜 whose critical values are periodic points for f then, we show how to define and characterize a substitution system associated with (𝒜, Tf). For these substitution systems, we compute the growth rate of the new critical points, and observe that this growth is independent of the initial conditions.
LA - eng
KW - Infinite dimensional dynamical systems; Iteration theory; Symbolic dynamics; Substitution systems; infinite dimensional dynamical systems; iteration theory; symbolic dynamics; substitution systems
UR - http://eudml.org/doc/251266
ER -