Results 31 to 40 of about 17,550 (161)

Dynamic Analysis of a Novel 3D Chaotic System with Hidden and Coexisting Attractors: Offset Boosting, Synchronization, and Circuit Realization

open access: yesFractal and Fractional, 2022
To further understand the dynamical characteristics of chaotic systems with a hidden attractor and coexisting attractors, we investigated the fundamental dynamics of a novel three-dimensional (3D) chaotic system derived by adding a simple constant term ...
Chengwei Dong
doaj   +1 more source

Symbolic Entropy of the Amplitude rather than the Instantaneous Frequency of EEG Varies in Dementia

open access: yesEntropy, 2015
The dynamics of human electroencephalography (EEG) have been proved to be related to cognitive activities. This study separately assessed the two EEG components, amplitude and rhythm, aiming to capture their individual contributions to cognitive ...
Pei-Feng Lin   +4 more
doaj   +1 more source

Dynamical behavior of a parametrized family of one-dimensional maps

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2022
The connection of these maps to homoclinic loops acts like an amplifier of the map behavior, and makes it interesting also in the case where all map orbits approach zero (but in many possible ways).
Erkan Muştu
doaj   +1 more source

Heart Rate Fragmentation: A Symbolic Dynamical Approach

open access: yesFrontiers in Physiology, 2017
Background: We recently introduced the concept of heart rate fragmentation along with a set of metrics for its quantification. The term was coined to refer to an increase in the percentage of changes in heart rate acceleration sign, a dynamical marker of
Madalena D. Costa   +2 more
doaj   +1 more source

Nonlinear causal influences assessed by mutual compression entropy

open access: yesCurrent Directions in Biomedical Engineering, 2016
Autonomic control of the heart rate was demonstrated to be complex and nonlinear. Respiratory sinus arrhythima plays a crucial role in heart rate vagal modulation.
Schumann Andy   +2 more
doaj   +1 more source

Development of Thinking Flexibility of Students when Calculating the Feigenbaum Constant Using Information and Communication Technologies

open access: yesСовременные информационные технологии и IT-образование, 2021
The proposed article examines the methodology for developing students' thinking flexibility by combining various approaches to the implementation of educational mathematical tasks.
Valeriy Sekovanov   +3 more
doaj   +1 more source

Timed Symbolic Dynamics

open access: yes, 2015
We introduce a theory of timed symbolic dynamics unifying results from timed automata theory and symbolic dynamics. The timed sofic shift spaces we define are a way of seeing timed regular languages as shift spaces on general alphabets (in classical symbolic dynamics, sofic shift spaces correspond to regular languages).
openaire   +2 more sources

Teaching Ordinal Patterns to a Computer: Efficient Encoding Algorithms Based on the Lehmer Code

open access: yesEntropy, 2019
Ordinal patterns are the common basis of various techniques used in the study of dynamical systems and nonlinear time series analysis. The present article focusses on the computational problem of turning time series into sequences of ordinal patterns. In
Sebastian Berger   +3 more
doaj   +1 more source

On the Correspondence between Subshifts of Finite Type and Statistical Mechanics Models

open access: yesEntropy, 2022
Several classical problems in symbolic dynamics concern the characterization of the simplex of measures of maximal entropy. For subshifts of finite type in higher dimensions, methods of statistical mechanics are ideal for dealing with these problems.
Luis Armando Corona   +2 more
doaj   +1 more source

Genericity of chaos for colored graphs

open access: yesTopological Algebra and its Applications, 2021
To each colored graph one can associate its closure in the universal space of isomorphism classes of pointed colored graphs, and this subspace can be regarded as a generalized subshift.
Lijó Ramón Barral, Nozawa Hiraku
doaj   +1 more source

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