Complex Nonlinearity

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Complex Nonlinearity

Author : Vladimir G. Ivancevic
Publisher : Springer Science & Business Media
ISBN 13 : 3540793577
Total Pages : 855 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Complex Nonlinearity by : Vladimir G. Ivancevic

Download or read book Complex Nonlinearity written by Vladimir G. Ivancevic and published by Springer Science & Business Media. This book was released on 2008-05-31 with total page 855 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Nonlinearity: Chaos, Phase Transitions, Topology Change and Path Integrals is a book about prediction & control of general nonlinear and chaotic dynamics of high-dimensional complex systems of various physical and non-physical nature and their underpinning geometro-topological change. The book starts with a textbook-like expose on nonlinear dynamics, attractors and chaos, both temporal and spatio-temporal, including modern techniques of chaos–control. Chapter 2 turns to the edge of chaos, in the form of phase transitions (equilibrium and non-equilibrium, oscillatory, fractal and noise-induced), as well as the related field of synergetics. While the natural stage for linear dynamics comprises of flat, Euclidean geometry (with the corresponding calculation tools from linear algebra and analysis), the natural stage for nonlinear dynamics is curved, Riemannian geometry (with the corresponding tools from nonlinear, tensor algebra and analysis). The extreme nonlinearity – chaos – corresponds to the topology change of this curved geometrical stage, usually called configuration manifold. Chapter 3 elaborates on geometry and topology change in relation with complex nonlinearity and chaos. Chapter 4 develops general nonlinear dynamics, continuous and discrete, deterministic and stochastic, in the unique form of path integrals and their action-amplitude formalism. This most natural framework for representing both phase transitions and topology change starts with Feynman’s sum over histories, to be quickly generalized into the sum over geometries and topologies. The last Chapter puts all the previously developed techniques together and presents the unified form of complex nonlinearity. Here we have chaos, phase transitions, geometrical dynamics and topology change, all working together in the form of path integrals. The objective of this book is to provide a serious reader with a serious scientific tool that will enable them to actually perform a competitive research in modern complex nonlinearity. It includes a comprehensive bibliography on the subject and a detailed index. Target readership includes all researchers and students of complex nonlinear systems (in physics, mathematics, engineering, chemistry, biology, psychology, sociology, economics, medicine, etc.), working both in industry/clinics and academia.

Dynamics Of Complex Systems

Author : Yaneer Bar-yam
Publisher : CRC Press
ISBN 13 : 0429717598
Total Pages : 866 pages
Book Rating : 4.4/5 (297 download)

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Book Synopsis Dynamics Of Complex Systems by : Yaneer Bar-yam

Download or read book Dynamics Of Complex Systems written by Yaneer Bar-yam and published by CRC Press. This book was released on 2019-03-04 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to develop models and modeling techniques that are useful when applied to all complex systems. It adopts both analytic tools and computer simulation. The book is intended for students and researchers with a variety of backgrounds.

Complex and Chaotic Nonlinear Dynamics

Author : Thierry Vialar
Publisher : Springer Science & Business Media
ISBN 13 : 3540859780
Total Pages : 752 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Complex and Chaotic Nonlinear Dynamics by : Thierry Vialar

Download or read book Complex and Chaotic Nonlinear Dynamics written by Thierry Vialar and published by Springer Science & Business Media. This book was released on 2009-04-26 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex dynamics constitute a growing and increasingly important area as they offer a strong potential to explain and formalize natural, physical, financial and economic phenomena. This book pursues the ambitious goal to bring together an extensive body of knowledge regarding complex dynamics from various academic disciplines. Beyond its focus on economics and finance, including for instance the evolution of macroeconomic growth models towards nonlinear structures as well as signal processing applications to stock markets, fundamental parts of the book are devoted to the use of nonlinear dynamics in mathematics, statistics, signal theory and processing. Numerous examples and applications, almost 700 illustrations and numerical simulations based on the use of Matlab make the book an essential reference for researchers and students from many different disciplines who are interested in the nonlinear field. An appendix recapitulates the basic mathematical concepts required to use the book.

Without Bounds: A Scientific Canvas of Nonlinearity and Complex Dynamics

Author : Ramon G. Rubio
Publisher : Springer
ISBN 13 : 3642340709
Total Pages : 781 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Without Bounds: A Scientific Canvas of Nonlinearity and Complex Dynamics by : Ramon G. Rubio

Download or read book Without Bounds: A Scientific Canvas of Nonlinearity and Complex Dynamics written by Ramon G. Rubio and published by Springer. This book was released on 2013-05-30 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together over fifty contributions on all aspects of nonlinear and complex dynamics, this impressive topical collection is both a scientific and personal tribute, on the occasion of his 70th birthday, by many outstanding colleagues in the broad fields of research pursued by Prof. Manuel G Velarde. The topics selected reflect the research areas covered by the famous Instituto Pluridisciplinar at the Universidad Complutense of Madrid, which he co-founded over two decades ago, and include: fluid physics and related nonlinear phenomena at interfaces and in other geometries, wetting and spreading dynamics, geophysical and astrophysical flows, and novel aspects of electronic transport in anharmonic lattices, as well as topics in neurodynamics and robotics.

Nonlinear Dynamics in Complex Systems

Author : Armin Fuchs
Publisher : Springer Science & Business Media
ISBN 13 : 3642335527
Total Pages : 237 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Nonlinear Dynamics in Complex Systems by : Armin Fuchs

Download or read book Nonlinear Dynamics in Complex Systems written by Armin Fuchs and published by Springer Science & Business Media. This book was released on 2012-09-22 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: With many areas of science reaching across their boundaries and becoming more and more interdisciplinary, students and researchers in these fields are confronted with techniques and tools not covered by their particular education. Especially in the life- and neurosciences quantitative models based on nonlinear dynamics and complex systems are becoming as frequently implemented as traditional statistical analysis. Unfamiliarity with the terminology and rigorous mathematics may discourage many scientists to adopt these methods for their own work, even though such reluctance in most cases is not justified. This book bridges this gap by introducing the procedures and methods used for analyzing nonlinear dynamical systems. In Part I, the concepts of fixed points, phase space, stability and transitions, among others, are discussed in great detail and implemented on the basis of example elementary systems. Part II is devoted to specific, non-trivial applications: coordination of human limb movement (Haken-Kelso-Bunz model), self-organization and pattern formation in complex systems (Synergetics), and models of dynamical properties of neurons (Hodgkin-Huxley, Fitzhugh-Nagumo and Hindmarsh-Rose). Part III may serve as a refresher and companion of some mathematical basics that have been forgotten or were not covered in basic math courses. Finally, the appendix contains an explicit derivation and basic numerical methods together with some programming examples as well as solutions to the exercises provided at the end of certain chapters. Throughout this book all derivations are as detailed and explicit as possible, and everybody with some knowledge of calculus should be able to extract meaningful guidance follow and apply the methods of nonlinear dynamics to their own work. “This book is a masterful treatment, one might even say a gift, to the interdisciplinary scientist of the future.” “With the authoritative voice of a genuine practitioner, Fuchs is a master teacher of how to handle complex dynamical systems.” “What I find beautiful in this book is its clarity, the clear definition of terms, every step explained simply and systematically.” (J.A.Scott Kelso, excerpts from the foreword)

Complex Valued Nonlinear Adaptive Filters

Author : Danilo P. Mandic
Publisher : John Wiley & Sons
ISBN 13 : 0470742631
Total Pages : 344 pages
Book Rating : 4.4/5 (77 download)

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Book Synopsis Complex Valued Nonlinear Adaptive Filters by : Danilo P. Mandic

Download or read book Complex Valued Nonlinear Adaptive Filters written by Danilo P. Mandic and published by John Wiley & Sons. This book was released on 2009-04-20 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was written in response to the growing demand for a text that provides a unified treatment of linear and nonlinear complex valued adaptive filters, and methods for the processing of general complex signals (circular and noncircular). It brings together adaptive filtering algorithms for feedforward (transversal) and feedback architectures and the recent developments in the statistics of complex variable, under the powerful frameworks of CR (Wirtinger) calculus and augmented complex statistics. This offers a number of theoretical performance gains, which is illustrated on both stochastic gradient algorithms, such as the augmented complex least mean square (ACLMS), and those based on Kalman filters. This work is supported by a number of simulations using synthetic and real world data, including the noncircular and intermittent radar and wind signals.

Nonlinear Dynamics and Chaos

Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Mechanics of Complex Structures

Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 3030758907
Total Pages : 476 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Nonlinear Mechanics of Complex Structures by : Holm Altenbach

Download or read book Nonlinear Mechanics of Complex Structures written by Holm Altenbach and published by Springer Nature. This book was released on 2021-07-29 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers different topics of nonlinear mechanics in complex structures, such as the appearance of new nonlinear phenomena and the behavior of finite-dimensional and distributed nonlinear systems, including numerous systems directly connected with important technological problems.

Applications of Nonlinear Dynamics

Author : Visarath In
Publisher : Springer Science & Business Media
ISBN 13 : 3540856323
Total Pages : 464 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Applications of Nonlinear Dynamics by : Visarath In

Download or read book Applications of Nonlinear Dynamics written by Visarath In and published by Springer Science & Business Media. This book was released on 2009-02-11 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ?eld of applied nonlinear dynamics has attracted scientists and engineers across many different disciplines to develop innovative ideas and methods to study c- plex behavior exhibited by relatively simple systems. Examples include: population dynamics, ?uidization processes, applied optics, stochastic resonance, ?ocking and ?ightformations,lasers,andmechanicalandelectricaloscillators. Acommontheme among these and many other examples is the underlying universal laws of nonl- ear science that govern the behavior, in space and time, of a given system. These laws are universal in the sense that they transcend the model-speci?c features of a system and so they can be readily applied to explain and predict the behavior of a wide ranging phenomena, natural and arti?cial ones. Thus the emphasis in the past decades has been in explaining nonlinear phenomena with signi?cantly less att- tion paid to exploiting the rich behavior of nonlinear systems to design and fabricate new devices that can operate more ef?ciently. Recently, there has been a series of meetings on topics such as Experimental Chaos, Neural Coding, and Stochastic Resonance, which have brought together many researchers in the ?eld of nonlinear dynamics to discuss, mainly, theoretical ideas that may have the potential for further implementation. In contrast, the goal of the 2007 ICAND (International Conference on Applied Nonlinear Dynamics) was focused more sharply on the implementation of theoretical ideas into actual - vices and systems.

Complex Systems Theory and Development Practice

Author : Samir Rihani
Publisher : Zed Books
ISBN 13 : 9781842770474
Total Pages : 308 pages
Book Rating : 4.7/5 (74 download)

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Book Synopsis Complex Systems Theory and Development Practice by : Samir Rihani

Download or read book Complex Systems Theory and Development Practice written by Samir Rihani and published by Zed Books. This book was released on 2002 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Ranging over a wide terrain of social, political and economic thinking and specific country experiences, the author explains the key concepts in complex systems theory and their possible applications in development practice. He examines various development issues and institutions in the light of what he sees as the limitations of rigid linear thinking in an essentially fluid, non-linear world. Little wonder, he concludes, that the results of half a century of development effort have been so disappointing."--BOOK JACKET.

Nonlinear Mesoscopic Elasticity

Author : Robert A. Guyer
Publisher : John Wiley & Sons
ISBN 13 : 3527407030
Total Pages : 410 pages
Book Rating : 4.5/5 (274 download)

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Book Synopsis Nonlinear Mesoscopic Elasticity by : Robert A. Guyer

Download or read book Nonlinear Mesoscopic Elasticity written by Robert A. Guyer and published by John Wiley & Sons. This book was released on 2009-09-28 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook brings together a great deal of new data on the static and dynamic elastic properties of granular and other composite material. The authors are at the very center of today's research and present new and imported theoretical tools that have enabled our current understanding of the complex behavior of rocks. There are three central themes running throughout the presentation: · Rocks as the prototypical material for defining a class of materials · The PM space model as a useful theoretical construct for developing a phenomenology · A sequence of refined analysis methods. This suite of new methods for both recording and analyzing data is more than a single framework for interpretation, it is also a toolbox for the experimenter. A comprehensive and systematic book of utmost interest to anybody involved in non-destructive testing, civil engineering, and geophysics.

Complex Governance Networks

Author : Göktuğ Morçöl
Publisher : Taylor & Francis
ISBN 13 : 1000836533
Total Pages : 188 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Complex Governance Networks by : Göktuğ Morçöl

Download or read book Complex Governance Networks written by Göktuğ Morçöl and published by Taylor & Francis. This book was released on 2023-02-17 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: What are the roles of governments and other actors in solving, or alleviating, collective action problems in today’s world? The traditional conceptual frameworks of public administration and public policy studies have become less relevant in answering this question. This book critically assesses traditional conceptual frameworks and proposes an alternative: a complex governance networks (CGN) framework. Advocating that complexity theory should be systematically integrated with foundational concepts of public administration and public policy, Göktuğ Morçöl begins by clarifying the component concepts of CGN and then addresses the implications of CGN for key issues in public administration and policy studies: effectiveness, accountability, and democracy. He illustrates the applicability of the CGN concepts with examples for the COVID-19 pandemic and metropolitan governance, particularly the roles of business improvement districts in governance processes. Morçöl concludes by discussing the implications of CGN for the convergence of public administration and public policy education and offering suggestions for future studies using the CGN conceptualization. Complex Governance Networks is essential reading for both scholars and advanced students of public policy, public administration, public affairs, and related areas.

Nonlinear Dynamics of Structures Under Extreme Transient Loads

Author : Adnan Ibrahimbegovic
Publisher : CRC Press
ISBN 13 : 1351052497
Total Pages : 242 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Nonlinear Dynamics of Structures Under Extreme Transient Loads by : Adnan Ibrahimbegovic

Download or read book Nonlinear Dynamics of Structures Under Extreme Transient Loads written by Adnan Ibrahimbegovic and published by CRC Press. This book was released on 2019-05-21 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effect of combined extreme transient loadings on a structure is not well understood—whether the source is man-made, such as an explosion and fire, or natural, such as an earthquake or extreme wind loading. A critical assessment of current knowledge is timely (with Fukushima-like disasters or terrorist threats). The central issue in all these problems is structural integrity, along with their transient nature, their unexpectedness, and often the uncertainty behind their cause. No single traditional scientific discipline provides complete answers, rather, a number of tools need to be brought together: nonlinear dynamics, probability theory, some understanding of the physical nature of the problem, as well as modeling and computational techniques for representing inelastic behavior mechanisms. Nonlinear Dynamics of Structures Under Extreme Transient Loads covers model building for different engineering structures and provides detailed presentations of extreme loading conditions. A number of illustrations are given quantifying; a plane crash or explosion induced impact loading, the effects of strong earthquake motion, and the impact and long-duration effects of strong stormy winds—along with a relevant framework for using modern computational tools. The book considers the levels of reserve in existing structures, and ways of reducing the negative impact of high-risk situations by employing sounder design procedures.

Recent Trends In Chaotic, Nonlinear And Complex Dynamics

Author : Jan Awrejcewicz
Publisher : World Scientific
ISBN 13 : 981122191X
Total Pages : 561 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Recent Trends In Chaotic, Nonlinear And Complex Dynamics by : Jan Awrejcewicz

Download or read book Recent Trends In Chaotic, Nonlinear And Complex Dynamics written by Jan Awrejcewicz and published by World Scientific. This book was released on 2021-07-26 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, enormous progress has been made on nonlinear dynamics particularly on chaos and complex phenomena. This unique volume presents the advances made in theory, analysis, numerical simulation and experimental realization, promising novel practical applications on various topics of current interest on chaos and related fields of nonlinear dynamics.Particularly, the focus is on the following topics: synchronization vs. chaotic phenomena, chaos and its control in engineering dynamical systems, fractal-based dynamics, uncertainty and unpredictability measures vs. chaos, Hamiltonian systems and systems with time delay, local/global stability, bifurcations and their control, applications of machine learning to chaos, nonlinear vibrations of lumped mass mechanical/mechatronic systems (rigid body and coupled oscillator dynamics) governed by ODEs and continuous structural members (beams, plates, shells) vibrations governed by PDEs, patterns formation, chaos in micro- and nano-mechanical systems, chaotic reduced-order models, energy absorption/harvesting from chaotic, chaos vs. resonance phenomena, chaos exhibited by discontinuous systems, chaos in lab experiments.The present volume forms an invaluable source on recent trends in chaotic and complex dynamics for any researcher and newcomers to the field of nonlinear dynamics.

Delay Equations

Author : Odo Diekmann
Publisher : Springer Science & Business Media
ISBN 13 : 1461242061
Total Pages : 547 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Delay Equations by : Odo Diekmann

Download or read book Delay Equations written by Odo Diekmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim here is to provide an introduction to the mathematical theory of infinite dimensional dynamical systems by focusing on a relatively simple - yet rich - class of examples, delay differential equations. This textbook contains detailed proofs and many exercises, intended both for self-study and for courses at graduate level, as well as a reference for basic results. As the subtitle indicates, this book is about concepts, ideas, results and methods from linear functional analysis, complex function theory, the qualitative theory of dynamical systems and nonlinear analysis. The book provides the reader with a working knowledge of applied functional analysis and dynamical systems.

Non-Linear Optical Properties of Matter

Author : Manthos G. Papadopoulos
Publisher : Springer Science & Business Media
ISBN 13 : 1402048505
Total Pages : 676 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Non-Linear Optical Properties of Matter by : Manthos G. Papadopoulos

Download or read book Non-Linear Optical Properties of Matter written by Manthos G. Papadopoulos and published by Springer Science & Business Media. This book was released on 2007-05-03 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book assembles both theory and application in this field, to interest experimentalists and theoreticians alike. Part 1 is concerned with the theory and computing of non-linear optical (NLO) properties while Part 2 reviews the latest developments in experimentation. This book will be invaluable to researchers and students in academia and industry, particularlrly to anyone involved in materials science, theoretical and computational chemistry, chemical physics, and molecular physics.

Nonlinear Science and Warfare

Author : Sean T. Lawson
Publisher : Routledge
ISBN 13 : 1135020183
Total Pages : 200 pages
Book Rating : 4.1/5 (35 download)

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Book Synopsis Nonlinear Science and Warfare by : Sean T. Lawson

Download or read book Nonlinear Science and Warfare written by Sean T. Lawson and published by Routledge. This book was released on 2013-11-26 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.