handbook of applications of chaos theory

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Handbook Of Applications Of Chaos Theory

Author : Christos H. Skiadas
ISBN : 9781315356549
Genre : Mathematics
File Size : 30. 88 MB
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In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. Handbook of Applications of Chaos Theory covers the main parts of chaos theory along with various applications to diverse areas. Expert contributors from around the world show how chaos theory is used to model unexplored cases and stimulate new applications. Accessible to scientists, engineers, and practitioners in a variety of fields, the book discusses the intermittency route to chaos, evolutionary dynamics and deterministic chaos, and the transition to phase synchronization chaos. It presents important contributions on strange attractors, self-exciting and hidden attractors, stability theory, Lyapunov exponents, and chaotic analysis. It explores the state of the art of chaos in plasma physics, plasma harmonics, and overtone coupling. It also describes flows and turbulence, chaotic interference versus decoherence, and an application of microwave networks to the simulation of quantum graphs. The book proceeds to give a detailed presentation of the chaotic, rogue, and noisy optical dissipative solitons; parhelic-like circle and chaotic light scattering; and interesting forms of the hyperbolic prism, the Poincaré disc, and foams. It also covers numerous application areas, from the analysis of blood pressure data and clinical digital pathology to chaotic pattern recognition to economics to musical arts and research.

Applications Of Chaos And Nonlinear Dynamics In Science And Engineering

Author : Santo Banerjee
ISBN : 9783319170374
Genre : Science
File Size : 53. 56 MB
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Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role. his fourth volume concentrates on reviewing further relevant contemporary applications of chaotic and nonlinear dynamics as they apply to the various cuttingedge branches of science and engineering. This encompasses, but is not limited to, topics such as synchronization in complex networks and chaotic circuits, time series analysis, ecological and biological patterns, stochastic control theory and vibrations in mechanical systems. Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a ‘recipe book’ full of tried and tested, successful engineering applications.

Handbook Of Chaos Control

Author : Eckehard Schöll
ISBN : 9783527622320
Genre : Science
File Size : 37. 74 MB
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This long-awaited revised second edition of the standard reference on the subject has been considerably expanded to include such recent developments as novel control schemes, control of chaotic space-time patterns, control of noisy nonlinear systems, and communication with chaos, as well as promising new directions in research. The contributions from leading international scientists active in the field provide a comprehensive overview of our current level of knowledge on chaos control and its applications in physics, chemistry, biology, medicine, and engineering. In addition, they show the overlap with the traditional field of control theory in the engineering community. An interdisciplinary approach of interest to scientists and engineers working in a number of areas.

Handbook Of Research On Chaos And Complexity Theory In The Social Sciences

Author : Erçetin, ?efika ?ule
ISBN : 9781522501497
Genre : Mathematics
File Size : 20. 69 MB
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The concept of “chaos”, and chaos theory, though it is a field of study specifically in the field of mathematics with applications in physics, engineering, economics, management, and education, has also recently taken root in the social sciences. As a method of analyzing the way in which the digital age has connected society more than ever, chaos and complexity theory serves as a tactic to tie world events and cope with the information overload that is associated with heightened social connectivity. The Handbook of Research on Chaos and Complexity Theory in the Social Sciences explores the theories of chaos and complexity as applied to a variety of disciplines including political science, organizational and management science, economics, and education. Presenting diverse research-based perspectives on mathematical patterns in the world system, this publication is an essential reference source for scholars, researchers, mathematicians, social theorists, and graduate-level students in a variety of disciplines.

Chaos Theory The Essentials For Military Applications

Author : Major Us Air Force Glenn E James
ISBN : 1479100463
Genre :
File Size : 22. 67 MB
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This paper distills those features of Chaos theory essential to military decision makers. The new science of Chaos examines behavior that is characterized by erratic fluctuations, sensitivity to disturbances, and long- term unpredictability. This paper presents specific ways we can recognize and cope with this kind of behavior in a wide range of military affairs. Designed for courses at the various war colleges, the paper makes three new contributions to the study of Chaos. First, it reviews the fundamentals of chaotic dynamics; the reader needs no extensive prerequisites in mathematics. Much more than a definition-based tutorial, the first part of this paper builds the reader's intuition for Chaos and presents the essential consequences of the theoretical results. Second, the paper surveys current military technologies that are prone to chaotic dynamics. Third, the universal properties of chaotic systems point to practical suggestions for applying Chaos results to strategic thinking and decision making. The power of Chaos comes from this universality: not just the vast number of chaotic systems, but the common types of behaviors and transition s that appear in completely unrelated systems. In particular, the results of Chaos theory provide new information, new courses of action, and new expectations in the behavior of countless military systems. The practical applications of Chaos in military technology and strategic thought are so extensive that every military decision maker needs to be familiar with Chaos theory's key results and insights.

Chaos For Engineers

Author : Tomasz Kapitaniak
ISBN : 9783642571435
Genre : Mathematics
File Size : 56. 18 MB
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A desription of the new mathematical ideas in nonlinear dynamics in such a way that engineers can apply them to real physical systems.

Dynamical Systems With Applications Using Matlab

Author : Stephen Lynch
ISBN : 9783319068206
Genre : Mathematics
File Size : 23. 43 MB
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This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applications and simulation utilizing MATLAB®, Simulink®, the Image Processing Toolbox® and the Symbolic Math toolbox®, including MuPAD. Features new to the second edition include · sections on series solutions of ordinary differential equations, perturbation methods, normal forms, Gröbner bases, and chaos synchronization; · chapters on image processing and binary oscillator computing; · hundreds of new illustrations, examples, and exercises with solutions; and · over eighty up-to-date MATLAB program files and Simulink model files available online. These files were voted MATLAB Central Pick of the Week in July 2013. The hands-on approach of Dynamical Systems with Applications using MATLAB, Second Edition, has minimal prerequisites, only requiring familiarity with ordinary differential equations. It will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a broad range of disciplines such as population dynamics, biology, chemistry, computing, economics, nonlinear optics, neural networks, and physics. Praise for the first edition Summing up, it can be said that this text allows the reader to have an easy and quick start to the huge field of dynamical systems theory. MATLAB/SIMULINK facilitate this approach under the aspect of learning by doing. —OR News/Operations Research Spectrum The MATLAB programs are kept as simple as possible and the author's experience has shown that this method of teaching using MATLAB works well with computer laboratory classes of small sizes.... I recommend ‘Dynamical Systems with Applications using MATLAB’ as a good handbook for a diverse readership: graduates and professionals in mathematics, physics, science and engineering. —Mathematica

The Chaos Theory Of Careers

Author : Robert Pryor
ISBN : 9781135231293
Genre : Business & Economics
File Size : 25. 79 MB
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The Chaos Theory of Careers outlines the application of chaos theory to the field of career development. It draws together and extends the work that the authors have been doing over the last 8 to 10 years. This text represents a new perspective on the nature of career development. It emphasizes the dimensions of careers frequently neglected by contemporary accounts of careers such as the challenges and opportunities of uncertainty, the interconnectedness of current life and the potential for information overload, career wisdom as a response to unplanned change, new approaches to vocational assessment based on emergent thinking, the place of spirituality and the search for meaning and purpose in, with and through work, the integration of being and becoming as dimensions of career development. It will be vital reading for all those working in and studying career development, either at advanced undergraduate or postgraduate level and provides a new and refreshing approach to this fast changing subject. Key themes include: Factors such as complexity, change, and contribution People's aspirations in relation to work and personal fulfilment Contemporary realities of career choice, career development and the working world

The Handbook Of Brain Theory And Neural Networks

Author : Michael A. Arbib
ISBN : 9780262011976
Genre : Computers
File Size : 36. 90 MB
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A new, dramatically updated edition of the classic resource on the constantly evolving fields of brain theory and neural networks.

Handbook Of Research On Hydroinformatics Technologies Theories And Applications

Author : Gasmelseid, Tagelsir Mohamed
ISBN : 9781615209088
Genre : Computers
File Size : 47. 56 MB
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"This book provides relevant theoretical frameworks and empirical research findings in the area hydroinformatics to assist professionals to improve their understanding of the development and use of decision support tools to support decision making and integrated water management at different organizational levels and domains"--Provided by publisher.

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