The aim of this study is to evaluate how far the nonlinear symbolic dynamics approach helps to characterize the nonlinear properties of speech and thereby discriminate between voiced and unvoiced speech segments. The symbolic dynamics calculations were performed on voiced speech, unvoiced speech and silence data. Differences were found in histogram properties and complexity measures of symbol s...

We formulate general rules for a coarse graining of the dynamics, which we term "symbolic dynamics," of feedback networks with monotonic interactions, such as most biological modules. Networks which are more complex than simple cyclic structures can exhibit multiple different symbolic dynamics. Nevertheless, we show several examples where the symbolic dynamics is dominated by a single pattern t...

In this paper, we will discuss several important applications of symbolic dynamics in the field of dynamical systems. After recalling some theorems in analysis and dynamical systems, we will launch ourselves in the applications of symbolic dynamics to the theory of Zeta Functions, Markov Partitions, and Homoclinic Orbits. This paper will be based on chapter 6 of Lind and Marcus’ book ”Introduct...

1 The dynamics of quasicrystals, the dynamics of Kähler action, symbolic dynamics, and the dynamics of self-organization 1 1.1 The non-determinism for the dynamics of quasicrystals contra non-determinism of Kähler action . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 The dynamics of quasicrystals as a model for fundamental dynamics or high level symbolic...

DYNAMICS FOR WEAK COUPLING OF CHAOTIC SYSTEMS Zbigniew Galias Department of Electrical Engineering, University of Mining and Metallurgy, Krak ow, Poland [email protected] Abstract| In this paper we study behavior of coupled continuous{time chaotic systems by means of independent symbolic dynamics. First we consider the perturbed chaotic system and estimate the maximum perturbation range for...

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...

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...

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...