Nonlinear Science

Author : G. Nicolis
Publisher : Cambridge University Press
Page : 274 pages
File Size : 45,9 Mb
Release : 1995-06-22
Category : Mathematics
ISBN : 0521467829

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Introduction to Nonlinear Science by G. Nicolis Pdf

The aim of this book is to develop a unified approach to nonlinear science, which does justice to its multiple facets and to the diversity and richness of the concepts and tools developed in this field over the years. Nonlinear science emerged in its present form following a series of closely related and decisive analytic, numerical and experimental developments that took place over the past three decades. It appeals to an extremely large variety of subject areas, but, at the same time, introduces into science a new way of thinking based on a subtle interplay between qualitative and quantitative techniques, topological and metric considerations and deterministic and statistical views. Special effort has been made throughout the book to illustrate both the development of the subject and the mathematical techniques, by reference to simple models. Each chapter concludes with a set of problems. This book will be of great value to graduate students in physics, applied mathematics, chemistry, engineering and biology taking courses in nonlinear science and its applications.

Author : Alwyn Scott
Publisher : Routledge
Page : 1107 pages
File Size : 52,8 Mb
Release : 2006-05-17
Category : Reference
ISBN : 9781135455583

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Encyclopedia of Nonlinear Science by Alwyn Scott Pdf

In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.

Author : P.L. Christiansen,M.P. Sorensen,A.C. Scott
Publisher : Springer
Page : 458 pages
File Size : 50,6 Mb
Release : 2008-01-11
Category : Science
ISBN : 9783540466291

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Nonlinear Science at the Dawn of the 21st Century by P.L. Christiansen,M.P. Sorensen,A.C. Scott Pdf

Nonlinear science is by now a well established field of research at the interface of many traditional disciplines and draws on the theoretical concepts developed in physics and mathematics. The present volume gathers the contributions of leading scientists to give the state of the art in many areas strongly influenced by nonlinear research, such as superconduction, optics, lattice dynamics, biology and biomolecular dynamics. While this volume is primarily intended for researchers working in the field care, has been taken that it will also be of benefit to graduate students or nonexpert scientist wishing to familiarize themselves with the current status of research.

Author : Daniel Kaplan,Leon Glass
Publisher : Springer Science & Business Media
Page : 438 pages
File Size : 43,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461208235

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Understanding Nonlinear Dynamics by Daniel Kaplan,Leon Glass Pdf

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics ( TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. About the Authors Daniel Kaplan specializes in the analysis of data using techniques motivated by nonlinear dynamics. His primary interest is in the interpretation of irregular physiological rhythms, but the methods he has developed have been used in geo physics, economics, marine ecology, and other fields. He joined McGill in 1991, after receiving his Ph.D from Harvard University and working at MIT. His un dergraduate studies were completed at Swarthmore College. He has worked with several instrumentation companies to develop novel types of medical monitors.

Author : Alwyn Scott,Mads Peter Sørensen,Peter L. Christiansen
Publisher : Oxford University Press, USA
Page : 504 pages
File Size : 41,5 Mb
Release : 1999
Category : Mathematics
ISBN : UOM:39015043328106

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Nonlinear Science by Alwyn Scott,Mads Peter Sørensen,Peter L. Christiansen Pdf

Problems and summaries after each chapter

Author : Sean T. Lawson
Publisher : Routledge
Page : 229 pages
File Size : 47,8 Mb
Release : 2013-11-26
Category : History
ISBN : 9781135020170

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Nonlinear Science and Warfare by Sean T. Lawson Pdf

This book examines the United States military’s use of concepts from non-linear science, such as chaos and complexity theory, in its efforts to theorise information-age warfare. Over the past three decades, the US defence community has shown an increasing interest in learning lessons from the non-linear sciences. Theories, strategies, and doctrines of warfare that have guided the conduct of US forces in recent conflicts have been substantially influenced by ideas borrowed from non-linear science, including manoeuvre warfare, network-centric warfare, and counterinsurgency. This book accounts for the uses that the US military has made of non-linear science by examining the long-standing historical relationship between the natural sciences and Western militaries. It identifies concepts and metaphors borrowed from natural science as a key formative factor behind the development of military theory, strategy, and doctrine. In doing so, Nonlinear Science and Warfare not only improves our understanding of the relationship between military professional identity, professional military education, and changes in technology, but also provides important insights into the evolving nature of conflict in the Information Age. This book will be of much interest to students of strategic studies, military science, US foreign policy, technology and war, and security studies.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 52,5 Mb
Release : 2024-06-26
Category : Electronic
ISBN : 9789814476331

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Nonlinear Science and Complexity by Anonim Pdf

Author : J.A. Tenreiro Machado,Albert C. J. Luo,Ramiro S. Barbosa,Manuel F. Silva,Lino B. Figueiredo
Publisher : Springer Science & Business Media
Page : 411 pages
File Size : 46,6 Mb
Release : 2010-11-03
Category : Technology & Engineering
ISBN : 9789048198849

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Nonlinear Science and Complexity by J.A. Tenreiro Machado,Albert C. J. Luo,Ramiro S. Barbosa,Manuel F. Silva,Lino B. Figueiredo Pdf

This book contains selected papers of NSC08, the 2nd Conference on Nonlinear Science and Complexity, held 28-31 July, 2008, Porto, Portugal. It focuses on fundamental theories and principles, analytical and symbolic approaches, computational techniques in nonlinear physics and mathematics. Topics treated include • Chaotic Dynamics and Transport in Classic and Quantum Systems • Complexity and Nonlinearity in Molecular Dynamics and Nano-Science • Complexity and Fractals in Nonlinear Biological Physics and Social Systems • Lie Group Analysis and Applications in Nonlinear Science • Nonlinear Hydrodynamics and Turbulence • Bifurcation and Stability in Nonlinear Dynamic Systems • Nonlinear Oscillations and Control with Applications • Celestial Physics and Deep Space Exploration • Nonlinear Mechanics and Nonlinear Structural Dynamics • Non-smooth Systems and Hybrid Systems • Fractional dynamical systems

Author : Alwyn Scott
Publisher : Routledge
Page : 2881 pages
File Size : 51,6 Mb
Release : 2006-05-17
Category : Reference
ISBN : 9781135455576

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Encyclopedia of Nonlinear Science by Alwyn Scott Pdf

In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.

Author : Jose L Huertas,Wai-Kai Chen,Rabinder N Madan
Publisher : World Scientific
Page : 872 pages
File Size : 44,8 Mb
Release : 1999-07-03
Category : Science
ISBN : 9789814496629

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Visions of Nonlinear Science in the 21st Century by Jose L Huertas,Wai-Kai Chen,Rabinder N Madan Pdf

Authoritative and visionary, this festschrift features 12 highly readable expositions of virtually all currently active aspects of nonlinear science. It has been painstakingly researched and written by leading scientists and eminent expositors, including L Shilnikov, R Seydel, I Prigogine, W Porod, C Mira, M Lakshmanan, W Lauterborn, A Holden, H Haken, C Grebogi, E Doedel and L Chua; each chapter addresses a current and intensively researched area of nonlinear science and chaos, including nonlinear dynamics, mathematics, numerics and technology. Handsomely produced with high resolution color graphics for enhanced readability, this book has been carefully written at a high level of exposition and is somewhat self-contained. Each chapter includes a tutorial and background information, as well as a survey of each area's main results and state of the art. Of special interest to both beginners and seasoned researchers is the identification of future trends and challenging yet tractable problems that are likely to be solved before the end of the 21st century. The visionary and provocative nature of this book makes it a valuable and lasting reference. Contents:Chua's Circuit and the Qualitative Theory of Dynamical Systems (C Mira)Nonlinear Science and the Laws of Nature (I Prigogine)Visions of Synergetics (H Haken)Mathematical Problems of Nonlinear Dynamics: A Tutorial (L Shilnikov)Experimental Nonlinear Physics (W Lauterborn et al.)Nonlinear Physics: Integrability, Chaos and Beyond (M Lakshmanan)Nonlinear Science: The Impact of Biology (A V Holden)Nonlinear Computation (R Seydel)Nonlinear Numerics (E Doedel)Some Historical Aspects of Nonlinear Dynamics: Possible Trends for the Future (C Mira)Control and Applications of Chaos (C Grebogi et al.)Quantum Dot Devices and Quantum-Dot Cellular Automata (W Porod)CNN: A Paradigm for Complexity (L O Chua) Readership: Nonlinear scientists. Keywords:Chua's Circuit;Qualitative Theory;Dynamical Systems;Nonlinear Science;Laws of Nature;Visions of Synergetics;Experimental Nonlinear Physics;Nonlinear Dynamics;Nonlinear Physics;Integrability;Chaos;Nonlinear Computation;Nonlinear Numerics;Control of Chaos;Applications of Chaos;Quantum Dot Devices;Quantum-Dot Cellular Automata;CNN;Cellular Neural Networks

Author : Klaus Mainzer
Publisher : World Scientific
Page : 448 pages
File Size : 44,8 Mb
Release : 2005-06-10
Category : Science
ISBN : 9789814480819

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Symmetry and Complexity by Klaus Mainzer Pdf

' Cosmic evolution leads from symmetry to complexity by symmetry breaking and phase transitions. The emergence of new order and structure in nature and society is explained by physical, chemical, biological, social and economic self-organization, according to the laws of nonlinear dynamics. All these dynamical systems are considered computational systems processing information and entropy. Are symmetry and complexity only useful models of science or are they universals of reality? Symmetry and Complexity discusses the fascinating insights gained from natural, social and computer sciences, philosophy and the arts. With many diagrams and pictures, this book illustrates the spirit and beauty of nonlinear science. In the complex world of globalization, it strongly argues for unity in diversity. Contents:Symmetry and Complexity in Early Culture and PhilosophySymmetry and Complexity in MathematicsSymmetry and Complexity in Physical SciencesSymmetry and Complexity in Chemical SciencesSymmetry and Complexity in Life SciencesSymmetry and Complexity in Economic and Social SciencesSymmetry and Complexity in Computer ScienceSymmetry and Complexity in Philosophy and Arts Readership: Upper-level undergraduates, graduate students, researchers, academics, and professionals in interdisciplinary sciences. Keywords:Symmetry;Symmetry Breaking;Complexity;Nonlinear Science;Dynamical System;Chaos;Bifurcation;Fractal;Computational System;Information Dynamics;Philosophy of Science;ArtsKey Features:Valuable insights from natural, social and computer sciencesAttractive pictures and illustrations enhancing the spirit and beauty of nonlinear scienceReviews:“This outstanding book is a general overview of the notion of symmetry and its many connections to the ideas of complexity … The book will be especially useful to the intelligent general reader as well as advanced undergraduate students looking for challenging technical problems to solve, reconfigure, or redefine.”Zentralblatt MATH '

Author : A. D. Bazykin,Aleksandr Iosifovich Khibnik,Bernd Krauskopf
Publisher : World Scientific
Page : 224 pages
File Size : 40,5 Mb
Release : 1998
Category : Science
ISBN : 9810216858

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Nonlinear Dynamics of Interacting Populations by A. D. Bazykin,Aleksandr Iosifovich Khibnik,Bernd Krauskopf Pdf

This book contains a systematic study of ecological communities of two or three interacting populations. Starting from the Lotka-Volterra system, various regulating factors are considered, such as rates of birth and death, predation and competition. The different factors can have a stabilizing or a destabilizing effect on the community, and their interplay leads to increasingly complicated behavior. Studying and understanding this path to greater dynamical complexity of ecological systems constitutes the backbone of this book. On the mathematical side, the tool of choice is the qualitative theory of dynamical systems — most importantly bifurcation theory, which describes the dependence of a system on the parameters. This approach allows one to find general patterns of behavior that are expected to be observed in ecological models. Of special interest is the reaction of a given model to disturbances of its present state, as well as to changes in the external conditions. This leads to the general idea of “dangerous boundaries” in the state and parameter space of an ecological system. The study of these boundaries allows one to analyze and predict qualitative and often sudden changes of the dynamics — a much-needed tool, given the increasing antropogenic load on the biosphere.As a spin-off from this approach, the book can be used as a guided tour of bifurcation theory from the viewpoint of application. The interested reader will find a wealth of intriguing examples of how known bifurcations occur in applications. The book can in fact be seen as bridging the gap between mathematical biology and bifurcation theory.

Author : Joshua M. Epstein
Publisher : CRC Press
Page : 134 pages
File Size : 46,8 Mb
Release : 2018-03-08
Category : Mathematics
ISBN : 9780429973031

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Nonlinear Dynamics, Mathematical Biology, And Social Science by Joshua M. Epstein Pdf

This book is based on a series of lectures on mathematical biology, the essential dynamics of complex and crucially important social systems, and the unifying power of mathematics and nonlinear dynamical systems theory.

Author : Steven H. Strogatz
Publisher : CRC Press
Page : 532 pages
File Size : 47,5 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 : Arkady Pikovsky,Michael Rosenblum,Jürgen Kurths
Publisher : Cambridge University Press
Page : 435 pages
File Size : 50,7 Mb
Release : 2001-10-18
Category : Mathematics
ISBN : 9780521592857

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Synchronization by Arkady Pikovsky,Michael Rosenblum,Jürgen Kurths Pdf

The book describes synchronization phenomena using both classical results and more recent developments.