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Author : Ali Bulent Cambel
Publisher : Academic Press
Page : 268 pages
File Size : 18,48 MB
Release : 1993
Category : Computers
ISBN :
This volume develops the mathematical, historical, and applied aspects of chaos theory and complexity, which have extensive practical appplications in biology, statistics, economics, engineering, and mathematics.
Author : Christos H. Skiadas
Publisher : CRC Press
Page : 934 pages
File Size : 18,94 MB
Release : 2017-12-19
Category : Mathematics
ISBN : 1466590440
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.
Author : L. Douglas Kiel
Publisher : University of Michigan Press
Page : 358 pages
File Size : 19,64 MB
Release : 2009-11-10
Category : Political Science
ISBN : 0472022520
Chaos Theory in the Social Sciences: Foundations and Applications offers the most recent thinking in applying the chaos paradigm to the social sciences. The book explores the methodological techniques--and their difficulties--for determining whether chaotic processes may in fact exist in a particular instance and examines implications of chaos theory when applied specifically to political science, economics, and sociology. The contributors to the book show that no single technique can be used to diagnose and describe all chaotic processes and identify the strengths and limitations of a variety of approaches. The essays in this volume consider the application of chaos theory to such diverse phenomena as public opinion, the behavior of states in the international arena, the development of rational economic expectations, and long waves. Contributors include Brian J. L. Berry, Thad Brown, Kenyon B. DeGreene, Dimitrios Dendrinos, Euel Elliott, David Harvey, L. Ted Jaditz, Douglas Kiel, Heja Kim, Michael McBurnett, Michael Reed, Diana Richards, J. Barkley Rosser, Jr., and Alvin M. Saperstein. L. Douglas Kiel and Euel W. Elliott are both Associate Professors of Government, Politics, and Political Economy, University of Texas at Dallas.
Author : Erçetin, ?efika ?ule
Publisher : IGI Global
Page : 322 pages
File Size : 19,87 MB
Release : 2016-05-23
Category : Education
ISBN : 1522504613
As a field of mathematical study, chaos and complexity theory analyzes the state of dynamical systems by evaluating how they interact, evolve, and adapt. Though this theory impacts a variety of disciplines, it also has significant influence on educational systems and settings. Applied Chaos and Complexity Theory in Education examines the application of the theories of chaos and complexity in relation to educational systems and institutions. Featuring emergent research and perspectives on mathematical patterns in educational settings and instructional practices, this book is a comprehensive reference source for researchers, scholars, mathematicians, and graduate students.
Author : Ali Bulent Cambel
Publisher : Elsevier
Page : 265 pages
File Size : 37,6 MB
Release : 1993-01-25
Category : Mathematics
ISBN : 0080571360
This book differs from others on Chaos Theory in that it focuses on its applications for understanding complex phenomena. The emphasis is on the interpretation of the equations rather than on the details of the mathematical derivations. The presentation is interdisciplinary in its approach to real-life problems: it integrates nonlinear dynamics, nonequilibrium thermodynamics, information theory, and fractal geometry. An effort has been made to present the material ina reader-friendly manner, and examples are chosen from real life situations. Recent findings on the diagnostics and control of chaos are presented, and suggestions are made for setting up a simple laboratory. Included is a list of topics for further discussion that may serve not only for personal practice or homework, but also as themes for theses, dissertations, and research proposals. Includes laboratory experiments Includes applications and case studies related to cell differentiation, EKGs, and immunology Presents interdisciplinary applications of chaos theory to complex systems Emphasizes the meaning of mathematical equations rather than their derivations Features reader friendly presentation with many illustrations and interpretations Deals with real life, dissipative systemsIntegrates mathematical theory throughout the text
Author : Tomasz Kapitaniak
Publisher : Springer Science & Business Media
Page : 150 pages
File Size : 36,17 MB
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 3642571433
A desription of the new mathematical ideas in nonlinear dynamics in such a way that engineers can apply them to real physical systems.
Author : Paul Bracken
Publisher : BoD – Books on Demand
Page : 265 pages
File Size : 32,26 MB
Release : 2021-04-14
Category : Mathematics
ISBN : 1839628588
This current volume contains 12 new papers on the subject of chaos in the physical sciences, which was initiated with the publication of the book Research Advances in Chaos Theory. It is clear the subject continues to attract a great deal of attention among scientists in the scientific community. This volume looks at such problems as chaos in nonlinear systems, in dynamical systems, quantum chaos, biological applications, and a few new emerging areas as well.
Author : Garnett Williams
Publisher : CRC Press
Page : 518 pages
File Size : 40,75 MB
Release : 1997-09-09
Category : Mathematics
ISBN : 1482295415
This text aims to bridge the gap between non-mathematical popular treatments and the distinctly mathematical publications that non- mathematicians find so difficult to penetrate. The author provides understandable derivations or explanations of many key concepts, such as Kolmogrov-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents.
Author : Elhadj Zeraoulia
Publisher : CRC Press
Page : 742 pages
File Size : 36,91 MB
Release : 2011-09-07
Category : Mathematics
ISBN : 1439883408
This book presents a select group of papers that provide a comprehensive view of the models and applications of chaos theory in medicine, biology, ecology, economy, electronics, mechanical, and the human sciences. Covering both the experimental and theoretical aspects of the subject, it examines a range of current topics of interest. It consid
Author : A.B. Cambel
Publisher :
Page : 0 pages
File Size : 22,84 MB
Release :
Category :
ISBN :