Replication Of Chaos In Neural Networks Economics And Physics PDF Download

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Replication of Chaos in Neural Networks, Economics and Physics

Replication of Chaos in Neural Networks, Economics and Physics
Author: Marat Akhmet
Publisher: Springer
Total Pages: 468
Release: 2015-08-13
Genre: Science
ISBN: 3662475006
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This book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever book to consider chaos as an input for differential and hybrid equations. Chaotic sets and chaotic functions are used as inputs for systems with attractors: equilibrium points, cycles and tori. The findings strongly suggest that chaos theory can proceed from the theory of differential equations to a higher level than previously thought. The approach selected is conducive to the in-depth analysis of different types of chaos. The appearance of deterministic chaos in neural networks, economics and mechanical systems is discussed theoretically and supported by simulations. As such, the book offers a valuable resource for mathematicians, physicists, engineers and economists studying nonlinear chaotic dynamics.

Dynamics with Chaos and Fractals

Dynamics with Chaos and Fractals
Author: Marat Akhmet
Publisher: Springer Nature
Total Pages: 226
Release: 2020-01-01
Genre: Mathematics
ISBN: 3030358542
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The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynamical systems, geometry, measure theory, topology, and numerical analysis during the last several decades. It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set. This is the first time in the literature that the description of chaos is initiated from a single motion. Chaos is now placed on the line of oscillations, and therefore, it is a subject of study in the framework of the theories of dynamical systems and differential equations, as in this book. The techniques introduced in the book make it possible to develop continuous and discrete dynamics which admit fractals as points of trajectories as well as orbits themselves. To provide strong arguments for the genericity of chaos in the real and abstract universe, the concept of abstract similarity is suggested.

Handbook of Research on Modeling, Analysis, and Control of Complex Systems

Handbook of Research on Modeling, Analysis, and Control of Complex Systems
Author: Azar, Ahmad Taher
Publisher: IGI Global
Total Pages: 685
Release: 2020-12-05
Genre: Mathematics
ISBN: 1799857905
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The current literature on dynamic systems is quite comprehensive, and system theory’s mathematical jargon can remain quite complicated. Thus, there is a need for a compendium of accessible research that involves the broad range of fields that dynamic systems can cover, including engineering, life sciences, and the environment, and which can connect researchers in these fields. The Handbook of Research on Modeling, Analysis, and Control of Complex Systems is a comprehensive reference book that describes the recent developments in a wide range of areas including the modeling, analysis, and control of dynamic systems, as well as explores related applications. The book acts as a forum for researchers seeking to understand the latest theory findings and software problem experiments. Covering topics that include chaotic maps, predictive modeling, random bit generation, and software bug prediction, this book is ideal for professionals, academicians, researchers, and students in the fields of electrical engineering, computer science, control engineering, robotics, power systems, and biomedical engineering.

Differential and Difference Equations with Applications

Differential and Difference Equations with Applications
Author: Sandra Pinelas
Publisher: Springer Nature
Total Pages: 754
Release: 2020-10-21
Genre: Mathematics
ISBN: 3030563235
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This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019. First organized in 2011, the ICDDEA conferences bring together mathematicians from various countries in order to promote cooperation in the field, with a particular focus on applications. The book includes studies on boundary value problems; Markov models; time scales; non-linear difference equations; multi-scale modeling; and myriad applications.

Dynamics of Markets

Dynamics of Markets
Author: Joseph L. McCauley
Publisher: Cambridge University Press
Total Pages: 246
Release: 2004-05-06
Genre: Business & Economics
ISBN: 9780521824477
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Text introducing a new empirically-based model of financial market dynamics.

Chaos Theory in Economics

Chaos Theory in Economics
Author: W. Davis Dechert
Publisher:
Total Pages: 632
Release: 1996
Genre: Business & Economics
ISBN:
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A collection of essays which bring together three basic aspects of research into nonlinear dynamics and economics. The first papers deal with the theoretical methods used in analyzing chaotic dynamics and the statistical tools to detect the presence of non-linearities in economic data. The following articles discuss the models which are currently being used to stimulate nonlinear economic phenomena. The final papers apply these methods to a number of economic time series.

Chaos and Complex Systems

Chaos and Complex Systems
Author: Stavros G. Stavrinides
Publisher: Springer
Total Pages: 165
Release: 2021-02-20
Genre: Science
ISBN: 9783030354435
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This book presents the proceedings of the “5th International Interdisciplinary Chaos Symposium on Chaos and Complex Systems (CCS).” All Symposia in the series bring together scientists, engineers, economists and social scientists, creating a vivid forum for discussions on the latest insights and findings obtained in the areas of complexity, nonlinear dynamics and chaos theory, as well as their interdisciplinary applications. The scope of the latest Symposium was enriched with a variety of contemporary, interdisciplinary topics, including but not limited to: fundamental theory of nonlinear dynamics, networks, circuits, systems, biology, evolution and ecology, fractals and pattern formation, nonlinear time series analysis, neural networks, sociophysics and econophysics, complexity management and global systems.

Select Topics in the PHYSICS OF THE ORIGIN OF LIFE

Select Topics in the PHYSICS OF THE ORIGIN OF LIFE
Author: V. Alexander Stefan
Publisher: Stefan University Press
Total Pages: 175
Release: 2002-12-05
Genre: Science
ISBN:
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the origin-of-life problem and the proteinoid theory molecular biology and the reconstruction of microbial phylogenies: des liaisons dangereuses? prebiotic chirality and life concentration and organization of precursors at inorganic interplayers and interfaces THE CHEMICAL ORIGINS OF LIFE AND MIND symmetry breaking and the origin of life THE WEAK FORCE AND SETH: THE SEARCH FOR EXTRA-TERRESTRIAL HOMOCHIRALITY COMMUNICATION BETWEEN ACTION AND REACTION UNDERLYING THE PHYSICAL ORIGIN OF LIFE randomness, determinism, and evolution

Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos
Author: Steven H. Strogatz
Publisher: CRC Press
Total Pages: 532
Release: 2018-05-04
Genre: Mathematics
ISBN: 0429961111
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This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

At the Crossroads: Lessons and Challenges in Computational Social Science

At the Crossroads: Lessons and Challenges in Computational Social Science
Author: Javier Borge-Holthoefer
Publisher: Frontiers Media SA
Total Pages: 100
Release: 2016-11-29
Genre: Electronic book
ISBN: 288945021X
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The interest of physicists in economic and social questions is not new: for over four decades, we have witnessed the emergence of what is called nowadays “sociophysics” and “econophysics”, vigorous and challenging areas within the wider “Interdisciplinary Physics”. With tools borrowed from Statistical Physics and Complexity, this new area of study have already made important contributions, which in turn have fostered the development of novel theoretical foundations in Social Science and Economics, via mathematical approaches, agent-based modelling and numerical simulations. From these foundations, Computational Social Science has grown to incorporate as well the empirical component --aided by the recent data deluge from the Web 2.0 and 3.0--, closing in this way the experiment-theory cycle in the best tradition of Physics.