Permutation Complexity In Dynamical Systems

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Permutation Complexity in Dynamical Systems

Author : José Amigó
Publisher : Springer Science & Business Media
ISBN 13 : 3642040845
Total Pages : 260 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Permutation Complexity in Dynamical Systems by : José Amigó

Download or read book Permutation Complexity in Dynamical Systems written by José Amigó and published by Springer Science & Business Media. This book was released on 2010-03-20 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Hans Dierckx
Publisher : Frontiers Media SA
ISBN 13 : 2889630676
Total Pages : 276 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis Simulating Normal and Arrhythmic Dynamics: From Sub-Cellular to Tissue and Organ Level by : Hans Dierckx

Download or read book Simulating Normal and Arrhythmic Dynamics: From Sub-Cellular to Tissue and Organ Level written by Hans Dierckx and published by Frontiers Media SA. This book was released on 2019-10-04 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The New Frontier of Network Physiology: From Temporal Dynamics to the Synchronization and Principles of Integration in Networks of Physiological Systems

Download The New Frontier of Network Physiology: From Temporal Dynamics to the Synchronization and Principles of Integration in Networks of Physiological Systems PDF Online Free

Author : Plamen Ch. Ivanov
Publisher : Frontiers Media SA
ISBN 13 : 2889714357
Total Pages : 842 pages
Book Rating : 4.8/5 (897 download)

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Book Synopsis The New Frontier of Network Physiology: From Temporal Dynamics to the Synchronization and Principles of Integration in Networks of Physiological Systems by : Plamen Ch. Ivanov

Download or read book 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 published by Frontiers Media SA. This book was released on 2022-02-17 with total page 842 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Entropy Measures for Data Analysis

Author : Karsten Keller
Publisher : MDPI
ISBN 13 : 3039280325
Total Pages : 260 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Entropy Measures for Data Analysis by : Karsten Keller

Download or read book Entropy Measures for Data Analysis written by Karsten Keller and published by MDPI. This book was released on 2019-12-19 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Systems

Author :
Publisher : BoD – Books on Demand
ISBN 13 : 1789854717
Total Pages : 288 pages
Book Rating : 4.7/5 (898 download)

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Book Synopsis Nonlinear Systems by :

Download or read book Nonlinear Systems written by and published by BoD – Books on Demand. This book was released on 2020-05-13 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Dynamical Systems

Author : José A. Tenreiro Machado
Publisher : MDPI
ISBN 13 : 3906980472
Total Pages : 552 pages
Book Rating : 4.9/5 (69 download)

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Book Synopsis Dynamical Systems by : José A. Tenreiro Machado

Download or read book Dynamical Systems written by José A. Tenreiro Machado and published by MDPI. This book was released on 2018-10-09 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Printed Edition of the Special Issue Published in Entropy

Time Series Analysis and Forecasting

Author : Ignacio Rojas
Publisher : Springer
ISBN 13 : 3319287257
Total Pages : 384 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Time Series Analysis and Forecasting by : Ignacio Rojas

Download or read book Time Series Analysis and Forecasting written by Ignacio Rojas and published by Springer. This book was released on 2016-05-30 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Dynamical Systems Theory, Models, Algorithms and Applications

Author : Bruno Carpentieri
Publisher : BoD – Books on Demand
ISBN 13 : 1839691239
Total Pages : 132 pages
Book Rating : 4.8/5 (396 download)

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Book Synopsis Advances in Dynamical Systems Theory, Models, Algorithms and Applications by : Bruno Carpentieri

Download or read book Advances in Dynamical Systems Theory, Models, Algorithms and Applications written by Bruno Carpentieri and published by BoD – Books on Demand. This book was released on 2021-07-28 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Frontiers In Entropy Across The Disciplines - Panorama Of Entropy: Theory, Computation, And Applications

Author : M Zuhair Nashed
Publisher : World Scientific
ISBN 13 : 9811259410
Total Pages : 757 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Frontiers In Entropy Across The Disciplines - Panorama Of Entropy: Theory, Computation, And Applications by : M Zuhair Nashed

Download or read book Frontiers In Entropy Across The Disciplines - Panorama Of Entropy: Theory, Computation, And Applications written by M Zuhair Nashed and published by World Scientific. This book was released on 2022-08-30 with total page 757 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frontiers in Entropy Across the Disciplines presents a panorama of entropy emphasizing mathematical theory, physical and scientific significance, computational methods, and applications in mathematics, physics, statistics, engineering, biomedical signals, and signal processing.In the last century classical concepts of entropy were introduced in the areas of thermodynamics, information theory, probability theory, statistics, dynamical systems, and ergodic theory. During the past 50 years, dozens of new concepts of entropy have been introduced and studied in many disciplines. This volume captures significant developments in this arena. It features expository, review, and research papers by distinguished mathematicians and scientists from many disciplines. The level of mathematics ranges from intermediate level to research level. Each chapter contains a comprehensive list of references. Topics include entropy and society, entropy and time, Souriau entropy on symplectic model of statistical physics, new definitions of entropy, geometric theory of heat and information, maximum entropy in Bayesian networks, maximum entropy methods, entropy analysis of biomedical signals (review and comparison of methods), spectral entropy and its application to video coding and speech coding, a comprehensive review of 50 years of entropy in dynamics, a comprehensive review on entropy, entropy-like quantities and applications, topological entropy of multimodal maps, entropy production in complex systems, entropy production and convergence to equilibrium, reversibility and irreversibility in entropy, nonequilibrium entropy, index of various entropy, entropy and the greatest blunder ever.

Combinatorics on Words

Author : Florin Manea
Publisher : Springer
ISBN 13 : 3319236601
Total Pages : 237 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Combinatorics on Words by : Florin Manea

Download or read book Combinatorics on Words written by Florin Manea and published by Springer. This book was released on 2015-08-26 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Conference on Combinatorics on Words, WORDS 2015, held in Kiel, Germany, in September 2015 under the auspices of the EATCS. The 14 revised full papers presented were carefully reviewed and selected from 22 submissions. The main object in the contributions are words, finite or infinite sequences of symbols over a finite alphabet. The papers reflect both theoretical contributions related to combinatorial, algebraic, and algorithmic aspects of words, as well as to contributions presenting applications of the theory of words in other field of computer science, linguistics, biology, bioinformatics, or physics.

Reaction-Transport Systems

Author : Vicenc Mendez
Publisher : Springer Science & Business Media
ISBN 13 : 3642114431
Total Pages : 454 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Reaction-Transport Systems by : Vicenc Mendez

Download or read book Reaction-Transport Systems written by Vicenc Mendez and published by Springer Science & Business Media. This book was released on 2010-06-10 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the dynamics of reaction-diffusion systems, with a focus on fronts and stationary spatial patterns. Emphasis is on systems that are non-standard in the sense that either the transport is not simply classical diffusion (Brownian motion) or the system is not homogeneous. A important feature is the derivation of the basic phenomenological equations from the mesoscopic system properties. Topics addressed include transport with inertia, described by persistent random walks and hyperbolic reaction-transport equations and transport by anomalous diffusion, in particular subdiffusion, where the mean square displacement grows sublinearly with time. In particular reaction-diffusion systems are studied where the medium is in turn either spatially inhomogeneous, compositionally heterogeneous or spatially discrete. Applications span a vast range of interdisciplinary fields and the systems considered can be as different as human or animal groups migrating under external influences, population ecology and evolution, complex chemical reactions, or networks of biological cells. Several chapters treat these applications in detail.

Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors

Author : Christos Volos
Publisher : MDPI
ISBN 13 : 3038978981
Total Pages : 290 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors by : Christos Volos

Download or read book Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors written by Christos Volos and published by MDPI. This book was released on 2019-05-03 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Entropy in Dynamic Systems

Author : Jan Awrejcewicz
Publisher : MDPI
ISBN 13 : 3039216163
Total Pages : 172 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Entropy in Dynamic Systems by : Jan Awrejcewicz

Download or read book Entropy in Dynamic Systems written by Jan Awrejcewicz and published by MDPI. This book was released on 2019-10-16 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theory and Applications of Time Series Analysis

Author : Olga Valenzuela
Publisher : Springer Nature
ISBN 13 : 3030260364
Total Pages : 380 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Theory and Applications of Time Series Analysis by : Olga Valenzuela

Download or read book Theory and Applications of Time Series Analysis written by Olga Valenzuela and published by Springer Nature. This book was released on 2019-10-18 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents selected peer-reviewed contributions from the International Conference on Time Series and Forecasting, ITISE 2018, held in Granada, Spain, on September 19-21, 2018. The first three parts of the book focus on the theory of time series analysis and forecasting, and discuss statistical methods, modern computational intelligence methodologies, econometric models, financial forecasting, and risk analysis. In turn, the last three parts are dedicated to applied topics and include papers on time series analysis in the earth sciences, energy time series forecasting, and time series analysis and prediction in other real-world problems. The book offers readers valuable insights into the different aspects of time series analysis and forecasting, allowing them to benefit both from its sophisticated and powerful theory, and from its practical applications, which address real-world problems in a range of disciplines. The ITISE conference series provides a valuable forum for scientists, engineers, educators and students to discuss the latest advances and implementations in the field of time series analysis and forecasting. It focuses on interdisciplinary and multidisciplinary research encompassing computer science, mathematics, statistics and econometrics.

The Complexity of Dynamical Systems

Author : Johan Dubbeldam
Publisher : John Wiley & Sons
ISBN 13 : 3527409319
Total Pages : 261 pages
Book Rating : 4.5/5 (274 download)

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Book Synopsis The Complexity of Dynamical Systems by : Johan Dubbeldam

Download or read book The Complexity of Dynamical Systems written by Johan Dubbeldam and published by John Wiley & Sons. This book was released on 2011-02-21 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by recognized experts, this edited book covers recent theoretical, experimental and applied issues in the growing fi eld of Complex Systems and Nonlinear Dynamics. It is divided into two parts, with the first section application based, incorporating the theory of bifurcation analysis, numerical computations of instabilities in dynamical systems and discussing experimental developments. The second part covers the broad category of statistical mechanics and dynamical systems. Several novel exciting theoretical and mathematical insights and their consequences are conveyed to the reader.

Nonlinear Optical Cavity Dynamics

Author : Philippe Grelu
Publisher : John Wiley & Sons
ISBN 13 : 3527685812
Total Pages : 456 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Nonlinear Optical Cavity Dynamics by : Philippe Grelu

Download or read book Nonlinear Optical Cavity Dynamics written by Philippe Grelu and published by John Wiley & Sons. This book was released on 2015-12-23 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: By recirculating light in a nonlinear propagation medium, the nonlinear optical cavity allows for countless options of light transformation and manipulation. In passive media, optical bistability and frequency conversion are central figures. In active media, laser light can be generated with versatile underlying dynamics. Emphasizing on ultrafast dynamics, the vital arena for the information technology, the soliton is a common conceptual keyword, thriving into its modern developments with the closely related denominations of dissipative solitons and cavity solitons. Recent technological breakthroughs in optical cavities, from micro-resonators to ultra-long fiber cavities, have entitled the exploration of nonlinear optical dynamics over unprecedented spatial and temporal orders of magnitude. By gathering key contributions by renowned experts, this book aims at bridging the gap between recent research topics with a view to foster cross-fertilization between research areas and stimulating creative optical engineering design.

Mathematics of Complexity and Dynamical Systems

Author : Robert A. Meyers
Publisher : Springer Science & Business Media
ISBN 13 : 1461418054
Total Pages : 1885 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Mathematics of Complexity and Dynamical Systems by : Robert A. Meyers

Download or read book Mathematics of Complexity and Dynamical Systems written by Robert A. Meyers and published by Springer Science & Business Media. This book was released on 2011-10-05 with total page 1885 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.