Results 31 to 40 of about 451,542 (281)

Kinematics in Biology: Symbolic Dynamics Approach

open access: yesMathematics, 2020
Motion in biology is studied through a descriptive geometrical method. We consider a deterministic discrete dynamical system used to simulate and classify a variety of types of movements which can be seen as templates and building blocks of more complex ...
Carlos Correia Ramos
doaj   +1 more source

EMD-Based Symbolic Dynamic Analysis for the Recognition of Human and Nonhuman Pyroelectric Infrared Signals

open access: yesSensors, 2016
In this paper, we propose an effective human and nonhuman pyroelectric infrared (PIR) signal recognition method to reduce PIR detector false alarms. First, using the mathematical model of the PIR detector, we analyze the physical characteristics of the ...
Jiaduo Zhao   +3 more
doaj   +1 more source

Blind System Identification in Noise Using a Dynamic-Based Estimator

open access: yesIEEE Access, 2021
In this work we consider the problem of blind system identification in noise driven by an independent and identically distributed (i.i.d) non-Gaussian signal generated from a deterministic nonlinear chaotic system.
Sumona Mukhopadhyay   +2 more
doaj   +1 more source

A New Method for Computing Topological Pressure [PDF]

open access: yes, 1996
The topological pressure introduced by Ruelle and similar quantities describe dynamical multifractal properties of dynamical systems. These are important characteristics of mesoscopic systems in the classical regime.
A. Csordás   +26 more
core   +4 more sources

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

A computer-assisted proof of symbolic dynamics in Hyperion's inner rotation model [PDF]

open access: yes, 2019
The rotation of Hyperion is often modelled by equations of motion of an ellipsoidal satellite. The model is expected to be chaotic for large range of parameters.
Gierzkiewicz, Anna, Zgliczyński, Piotr
core   +2 more sources

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

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

Symbolic Synchronization and the Detection of Global Properties of Coupled Dynamics from Local Information

open access: yes, 2006
We study coupled dynamics on networks using symbolic dynamics. The symbolic dynamics is defined by dividing the state space into a small number of regions (typically 2), and considering the relative frequencies of the transitions between those regions ...
Atay   +3 more
core   +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

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