Permutation Complexity In Dynamical Systems
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Permutation Complexity In Dynamical Systems
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Author : José Amigó
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-20
Permutation Complexity In Dynamical Systems written by José Amigó and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-20 with Science categories.
The study of permutation complexity can be envisioned as a new kind of symbolic dynamics whose basic blocks are ordinal patterns, that is, permutations defined by the order relations among points in the orbits of dynamical systems. Since its inception in 2002 the concept of permutation entropy has sparked a new branch of research in particular regarding the time series analysis of dynamical systems that capitalizes on the order structure of the state space. Indeed, on one hand ordinal patterns and periodic points are closely related, yet ordinal patterns are amenable to numerical methods, while periodicity is not. Another interesting feature is that since it can be shown that random (unconstrained) dynamics has no forbidden patterns with probability one, their existence can be used as a fingerprint to identify any deterministic origin of orbit generation. This book is primarily addressed to researchers working in the field of nonlinear dynamics and complex systems, yet will also be suitable for graduate students interested in these subjects. The presentation is a compromise between mathematical rigor and pedagogical approach. Accordingly, some of the more mathematical background needed for more in depth understanding has been shifted into the appendices.
Simulating Normal And Arrhythmic Dynamics From Sub Cellular To Tissue And Organ Level
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Author : Hans Dierckx
language : en
Publisher: Frontiers Media SA
Release Date : 2019-10-04
Simulating Normal And Arrhythmic Dynamics From Sub Cellular To Tissue And Organ Level written by Hans Dierckx and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-04 with categories.
The New Frontier Of Network Physiology From Temporal Dynamics To The Synchronization And Principles Of Integration In Networks Of Physiological Systems
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Author : Plamen Ch. Ivanov
language : en
Publisher: Frontiers Media SA
Release Date : 2022-02-17
The New Frontier Of Network Physiology From Temporal Dynamics To The Synchronization And Principles Of Integration In Networks Of Physiological Systems written by Plamen Ch. Ivanov and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-17 with Science categories.
Advances In Dynamical Systems Theory Models Algorithms And Applications
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Author : Bruno Carpentieri
language : en
Publisher: BoD – Books on Demand
Release Date : 2021-07-28
Advances In Dynamical Systems Theory Models Algorithms And Applications written by Bruno Carpentieri and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-28 with Mathematics categories.
The theory of modern dynamical systems dates back to 1890 with studies by Poincaré on celestial mechanics. The tradition was continued by Birkhoff in the United States with his pivotal work on periodic orbits, and by the Moscow School in Russia (Liapunov, Andronov, Pontryagin). In the 1960s the field was revived by the emergence of the theory of chaotic attractors, and in modern years by accurate computer simulations. This book provides an overview of recent developments in the theory of dynamical systems, presenting some significant advances in the definition of new models, computer algorithms, and applications. Researchers, engineers and graduate students in both pure and applied mathematics will benefit from the chapters collected in this volume.
Dynamical Systems
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Author : José A. Tenreiro Machado
language : en
Publisher: MDPI
Release Date : 2018-10-09
Dynamical Systems written by José A. Tenreiro Machado and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-09 with Science categories.
Printed Edition of the Special Issue Published in Entropy
Entropy Measures For Data Analysis
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Author : Karsten Keller
language : en
Publisher: MDPI
Release Date : 2019-12-19
Entropy Measures For Data Analysis written by Karsten Keller and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-19 with Science categories.
Entropies and entropy-like quantities play an increasing role in modern non-linear data analysis. Fields that benefit from this application range from biosignal analysis to econophysics and engineering. This issue is a collection of papers touching on different aspects of entropy measures in data analysis, as well as theoretical and computational analyses. The relevant topics include the difficulty to achieve adequate application of entropy measures and the acceptable parameter choices for those entropy measures, entropy-based coupling, and similarity analysis, along with the utilization of entropy measures as features in automatic learning and classification. Various real data applications are given.
Entropy In Dynamic Systems
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Author : Jan Awrejcewicz
language : en
Publisher: MDPI
Release Date : 2019-10-16
Entropy In Dynamic Systems written by Jan Awrejcewicz and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-16 with Science categories.
In order to measure and quantify the complex behavior of real-world systems, either novel mathematical approaches or modifications of classical ones are required to precisely predict, monitor, and control complicated chaotic and stochastic processes. Though the term of entropy comes from Greek and emphasizes its analogy to energy, today, it has wandered to different branches of pure and applied sciences and is understood in a rather rough way, with emphasis placed on the transition from regular to chaotic states, stochastic and deterministic disorder, and uniform and non-uniform distribution or decay of diversity. This collection of papers addresses the notion of entropy in a very broad sense. The presented manuscripts follow from different branches of mathematical/physical sciences, natural/social sciences, and engineering-oriented sciences with emphasis placed on the complexity of dynamical systems. Topics like timing chaos and spatiotemporal chaos, bifurcation, synchronization and anti-synchronization, stability, lumped mass and continuous mechanical systems modeling, novel nonlinear phenomena, and resonances are discussed.
Nonlinear Dynamics And Entropy Of Complex Systems With Hidden And Self Excited Attractors
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Author : Christos Volos
language : en
Publisher: MDPI
Release Date : 2019-05-03
Nonlinear Dynamics And Entropy Of Complex Systems With Hidden And Self Excited Attractors written by Christos Volos and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-03 with Technology & Engineering categories.
In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors. The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with non-hyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phase-locked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters. This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with self-excited attractors and hidden attractors.
Time Series Analysis And Forecasting
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Author : Ignacio Rojas
language : en
Publisher: Springer
Release Date : 2016-05-30
Time Series Analysis And Forecasting written by Ignacio Rojas and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-30 with Business & Economics categories.
This volume presents selected peer-reviewed contributions from The International Work-Conference on Time Series, ITISE 2015, held in Granada, Spain, July 1-3, 2015. It discusses topics in time series analysis and forecasting, advanced methods and online learning in time series, high-dimensional and complex/big data time series as well as forecasting in real problems. The International Work-Conferences on Time Series (ITISE) provide a forum for scientists, engineers, educators and students to discuss the latest ideas and implementations in the foundations, theory, models and applications in the field of time series analysis and forecasting. It focuses on interdisciplinary and multidisciplinary research encompassing the disciplines of computer science, mathematics, statistics and econometrics.
Nonlinear Systems
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Author :
language : en
Publisher: BoD – Books on Demand
Release Date : 2020-05-13
Nonlinear Systems written by and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-13 with Mathematics categories.
The editors of this book have incorporated contributions from a diverse group of leading researchers in the field of nonlinear systems. To enrich the scope of the content, this book contains a valuable selection of works on fractional differential equations.The book aims to provide an overview of the current knowledge on nonlinear systems and some aspects of fractional calculus. The main subject areas are divided into two theoretical and applied sections. Nonlinear systems are useful for researchers in mathematics, applied mathematics, and physics, as well as graduate students who are studying these systems with reference to their theory and application. This book is also an ideal complement to the specific literature on engineering, biology, health science, and other applied science areas. The opportunity given by IntechOpen to offer this book under the open access system contributes to disseminating the field of nonlinear systems to a wide range of researchers.