Results 21 to 30 of about 17,550 (161)

SYMBOLIC DYNAMICS AND SOME APPLICATIONS

open access: yesSelecciones Matemáticas, 2016
In this article we present some applications of symbolic dynamics in the eld of dynamic systems by the discretization of space.
Jorge Horna Mercedes   +4 more
doaj   +1 more source

Unsupervised Symbolization of Signal Time Series for Extraction of the Embedded Information

open access: yesEntropy, 2017
This paper formulates an unsupervised algorithm for symbolization of signal time series to capture the embedded dynamic behavior. The key idea is to convert time series of the digital signal into a string of (spatially discrete) symbols from which the ...
Yue Li, Asok Ray
doaj   +1 more source

Dynamics, Periodic Orbit Analysis, and Circuit Implementation of a New Chaotic System with Hidden Attractor

open access: yesFractal and Fractional, 2022
Hidden attractors are associated with multistability phenomena, which have considerable application prospects in engineering. By modifying a simple three-dimensional continuous quadratic dynamical system, this paper reports a new autonomous chaotic ...
Chengwei Dong
doaj   +1 more source

On the Entropy of a Two Step Random Fibonacci Substitution

open access: yesEntropy, 2013
We consider a random generalization of the classical Fibonacci substitution. The substitution we consider is defined as the rule mapping, a → baa and b → ab, with probability , and  → ba, with probability 1 – p for 0 < p < 1, and where the random rule is
Johan Nilsson
doaj   +1 more source

Subshifts on Infinite Alphabets and Their Entropy

open access: yesEntropy, 2020
We analyze symbolic dynamics to infinite alphabets by endowing the alphabet with the cofinite topology. The topological entropy is shown to be equal to the supremum of the growth rate of the complexity function with respect to finite subalphabets.
Sharwin Rezagholi
doaj   +1 more source

Orbit Representations from Linear mod 1 Transformations

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
We show that every point $x_0in [0,1]$ carries a representationof a $C^*$-algebra that encodes the orbit structure of thelinear mod 1 interval map $f_{eta,alpha}(x)=eta x +alpha$.
Carlos Correia Ramos   +2 more
doaj   +1 more source

Fetal Heart Rate Fragmentation

open access: yesFrontiers in Pediatrics, 2021
Intrapartum fetal monitoring's primary goal is to avoid adverse perinatal outcomes related to hypoxia/acidosis without increasing unnecessary interventions.
Matilde Costa   +6 more
doaj   +1 more source

Gastric emphysema and pneumatosis intestinalis in two common marmosets with duodenal dilation syndrome

open access: yesBMC Veterinary Research
Background Common marmosets (Callithrix jacchus) are widely used as primate experimental models in biomedical research. Duodenal dilation with chronic vomiting in captive common marmosets is a recently described life-threatening syndrome that is ...
Shinpei Kawarai   +3 more
doaj   +1 more source

A symbolic projection of Langton's Ant [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2003
The Langton's ant is studied from the point of view of topological dynamical systems. A new approach which associate a subshift to the system is proposed.The transition rule is generalized to the family of bi-regular graphs $\Gamma(k,d)$ and the ...
Anahi Gajardo
doaj   +1 more source

Communication patterns in a psychotherapy following traumatic brain injury: A quantitative case study based on symbolic dynamics

open access: yesBMC Psychiatry, 2011
Background The role of psychotherapy in the treatment of traumatic brain injury is receiving increased attention. The evaluation of psychotherapy with these patients has been conducted largely in the absence of quantitative data concerning the therapy ...
Gilpin Adele MK   +4 more
doaj   +1 more source

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