Replication Of Chaos In Neural Networks Economics And Physics

Author : Marat Akhmet,Mehmet Onur Fen
Publisher : Springer
Page : 457 pages
File Size : 50,9 Mb
Release : 2015-08-13
Category : Science
ISBN : 9783662475003

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Replication of Chaos in Neural Networks, Economics and Physics by Marat Akhmet,Mehmet Onur Fen Pdf

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.

Author : Marat Akhmet,Mehmet Onur Fen,Ejaily Milad Alejaily
Publisher : Springer Nature
Page : 226 pages
File Size : 54,8 Mb
Release : 2020-01-01
Category : Mathematics
ISBN : 9783030358549

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Dynamics with Chaos and Fractals by Marat Akhmet,Mehmet Onur Fen,Ejaily Milad Alejaily Pdf

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.

Author : Azar, Ahmad Taher,Kamal, Nashwa Ahmad
Publisher : IGI Global
Page : 685 pages
File Size : 42,6 Mb
Release : 2020-12-05
Category : Mathematics
ISBN : 9781799857907

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Handbook of Research on Modeling, Analysis, and Control of Complex Systems by Azar, Ahmad Taher,Kamal, Nashwa Ahmad Pdf

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.

Author : Sandra Pinelas,John R. Graef,Stefan Hilger,Peter Kloeden,Christos Schinas
Publisher : Springer Nature
Page : 754 pages
File Size : 48,7 Mb
Release : 2020-10-21
Category : Mathematics
ISBN : 9783030563233

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Differential and Difference Equations with Applications by Sandra Pinelas,John R. Graef,Stefan Hilger,Peter Kloeden,Christos Schinas Pdf

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.

Author : Stavros G. Stavrinides,Mehmet Ozer
Publisher : Springer Nature
Page : 169 pages
File Size : 41,5 Mb
Release : 2020-02-19
Category : Science
ISBN : 9783030354411

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Chaos and Complex Systems by Stavros G. Stavrinides,Mehmet Ozer Pdf

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.

Author : Zhong Li,Wolfgang A. Halang,Guanrong Chen
Publisher : Springer Science & Business Media
Page : 620 pages
File Size : 43,5 Mb
Release : 2006-01-10
Category : Computers
ISBN : 9783540268994

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Integration of Fuzzy Logic and Chaos Theory by Zhong Li,Wolfgang A. Halang,Guanrong Chen Pdf

This book attempts to present some current research progress and results on the interplay of fuzzy logic and chaos theory. More specifically, this book includes a collection of some state-of-theart surveys, tutorials, and application examples written by some experts working in the interdisciplinary fields overlapping fuzzy logic and chaos theory. The content of the book covers fuzzy definition of chaos, fuzzy modeling and control of chaotic systems using both Mamdani and Takagi-Sugeno models, fuzzy model identification using genetic algorithms and neural network schemes, bifurcation phenomena and self-referencing in fuzzy systems, complex fuzzy systems and their collective behaviours, as well as some applications of combining fuzzy logic and chaotic dynamics, such as fuzzy-chaos hybrid controllers for nonlinear dynamic systems, and fuzzy-model-based chaotic cryptosystems. This book can serve as a handy reference for researchers working in interdisciplines related, among others, to both fuzzy logic and chaos theory.

Author : Joseph L. McCauley
Publisher : Cambridge University Press
Page : 246 pages
File Size : 41,9 Mb
Release : 2004-05-06
Category : Business & Economics
ISBN : 0521824478

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Dynamics of Markets by Joseph L. McCauley Pdf

Text introducing a new empirically-based model of financial market dynamics.

Author : L. Douglas Kiel,Euel W. Elliott
Publisher : University of Michigan Press
Page : 364 pages
File Size : 48,9 Mb
Release : 1997-09-26
Category : Business & Economics
ISBN : 0472084720

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Chaos Theory in the Social Sciences by L. Douglas Kiel,Euel W. Elliott Pdf

DIVApplications of chaos theory in political science, economics, and sociology /div

Author : V. Alexander Stefan
Publisher : Stefan University Press
Page : 175 pages
File Size : 42,9 Mb
Release : 2002-12-05
Category : Science
ISBN : 8210379456XXX

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Select Topics in the PHYSICS OF THE ORIGIN OF LIFE by V. Alexander Stefan Pdf

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

Author : Steven H. Strogatz
Publisher : CRC Press
Page : 532 pages
File Size : 45,7 Mb
Release : 2018-05-04
Category : Mathematics
ISBN : 9780429961113

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Nonlinear Dynamics and Chaos by Steven H. Strogatz Pdf

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.

Author : David D. Nolte
Publisher : Oxford University Press
Page : 384 pages
File Size : 44,9 Mb
Release : 2018-07-12
Category : Science
ISBN : 9780192528506

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Galileo Unbound by David D. Nolte Pdf

Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.

Author : Javier Borge-Holthoefer,Yamir Moreno,Taha Yasseri
Publisher : Frontiers Media SA
Page : 100 pages
File Size : 43,5 Mb
Release : 2016-11-29
Category : Electronic book
ISBN : 9782889450213

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At the Crossroads: Lessons and Challenges in Computational Social Science by Javier Borge-Holthoefer,Yamir Moreno,Taha Yasseri Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 624 pages
File Size : 50,8 Mb
Release : 1989
Category : Power resources
ISBN : MSU:31293010868937

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Energy Research Abstracts by Anonim Pdf

Author : Marcel Ausloos,Michel Dirickx
Publisher : Springer Science & Business Media
Page : 413 pages
File Size : 55,6 Mb
Release : 2006-02-11
Category : Science
ISBN : 9783540320234

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The Logistic Map and the Route to Chaos by Marcel Ausloos,Michel Dirickx Pdf

Pierre-Francois Verhulst, with his seminal work using the logistic map to describe population growth and saturation, paved the way for the many applications of this tool in modern mathematics, physics, chemistry, biology, economics and sociology. Indeed nowadays the logistic map is considered a useful and paradigmatic showcase for the route leading to chaos. This volume gathers contributions from some of the leading specialists in the field to present a state-of-the art view of the many ramifications of the developments initiated by Verhulst over a century ago.

Author : Paul D. McNelis
Publisher : Academic Press
Page : 262 pages
File Size : 45,6 Mb
Release : 2005-01-05
Category : Business & Economics
ISBN : 9780124859678

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Neural Networks in Finance by Paul D. McNelis Pdf

This book explores the intuitive appeal of neural networks and the genetic algorithm in finance. It demonstrates how neural networks used in combination with evolutionary computation outperform classical econometric methods for accuracy in forecasting, classification and dimensionality reduction. McNelis utilizes a variety of examples, from forecasting automobile production and corporate bond spread, to inflation and deflation processes in Hong Kong and Japan, to credit card default in Germany to bank failures in Texas, to cap-floor volatilities in New York and Hong Kong. * Offers a balanced, critical review of the neural network methods and genetic algorithms used in finance * Includes numerous examples and applications * Numerical illustrations use MATLAB code and the book is accompanied by a website