منابع مشابه
Symbolic dynamics
This chapter presents some of the links between automata theory and symbolic dynamics. The emphasis is on two particular points. The first one is the interplay between some particular classes of automata, such as local automata and results on embeddings of shifts of finite type. The second one is the connection between syntactic semigroups and the classification of sofic shifts up to conjugacy.
متن کاملComplex Dynamics and Symbolic Dynamics
Robert L. Devaney, Boston University Synopsis As so often happens in mathematics, there is a surprising connection between two quite distinct subfields of dynamical systems theory, namely the structure of the automorphism group of the one sided shift map on d-symbols and the topology of the analogue of the Mandelbrot set for degree d polynomials of one complex variable. In this lecture we will ...
متن کاملSymbolic Lagrangian Multibody Dynamics
Symbolic Lagrangian formulations of the equations of motion of tree structured constrained mechanical systems have the potential to be both more efficient and more numerically robust than formulations which use nonlinear kinematic constraint equations. We derive a simple recursive factorization of the Lagrangian equations of motion which, along with our extended implementation of the D* symboli...
متن کاملSymbolic dynamics and representations
The object of study of symbolic dynamics are discrete dynamical systems made of infinite sequences of symbols, with the shift acting on them. They come as codings of trajectories of points in a dynamical system according to a given partition. They are used as discretization tools for analyzing such trajectories, but they also occur in a natural way in arithmetics for instance. We first will rec...
متن کاملComputable symbolic dynamics
We investigate computable subshifts and the connection with effective symbolic dynamics. It is shown that a decidable Π1 class P is a subshift if and only if there is a computable function F mapping 2N to 2N such that P is the set of itineraries of elements of 2N. Π1 subshifts are constructed in 2N and in 2Z which have no computable elements. We also consider the symbolic dynamics of maps on th...
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ژورنال
عنوان ژورنال: Scholarpedia
سال: 2008
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.2923