Nonlinearities In Complex Systems
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Nonlinearities In Complex Systems
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Author : Sushanta Dattagupta
language : en
Publisher: Alpha Science International, Limited
Release Date : 1997
Nonlinearities In Complex Systems written by Sushanta Dattagupta and has been published by Alpha Science International, Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
This book addresses various aspects of nonlinearities in complex systems, ie. systems comprising simple (possibly nonlinear) elements, which combine to give a complex overall behaviour. Complex systems have come to play a crucial role in computer science, physics, chemistry and biology and have been the subject of much recent interest. Most of the chapters in this book are pedagogical reviews of research problems in the area of complex systems and should be of interest to students and researchers in science and engineering. The articles cover a wide range of subjects including plastic flow of material, disordered systems, surface growth phenomena, pattern formation in spatially extended systems, atomic clusters and quantum stochastic phenomena.
Foundations Of Complex Systems Nonlinear Dynamics Statistical Physics Information And Prediction
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Author : Gregoire Nicolis
language : en
Publisher: World Scientific
Release Date : 2007-09-03
Foundations Of Complex Systems Nonlinear Dynamics Statistical Physics Information And Prediction written by Gregoire Nicolis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-03 with Science categories.
Complexity is emerging as a post-Newtonian paradigm for approaching a large body of phenomena of concern at the crossroads of physical, engineering, environmental, life and human sciences from a unifying point of view. This book outlines the foundations of modern complexity research as it arose from the cross-fertilization of ideas and tools from nonlinear science, statistical physics and numerical simulation. It is shown how these developments lead to an understanding, both qualitative and quantitative, of the complex systems encountered in nature and in everyday experience and, conversely, how natural complexity acts as a source of inspiration for progress at the fundamental level.
Chains Of Nonlinearities
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-03-17
Chains Of Nonlinearities written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-17 with Science categories.
In a world governed by the intricate interplay of nonlinearity and complexity, we embark on a captivating journey to unveil the hidden order within chaos and discover profound connections across diverse disciplines. "Chains of Nonlinearities" delves into the heart of nonlinear dynamics, revealing the underlying principles that shape the behavior of complex systems and their profound implications for our understanding of the universe. Unravel the mysteries of fractals, strange attractors, and chaos theory as we explore the intricate relationships between seemingly disparate systems. Discover how nonlinearity can lead to remarkable sensitivity to initial conditions, resulting in fascinating and often counterintuitive behaviors. Witness the intricate dynamics of biological systems, where nonlinear interactions give rise to self-organization, adaptation, and evolution. Delve into the complex behavior of economic systems, where nonlinear feedbacks and interactions can lead to booms, busts, and unpredictable market fluctuations. Our exploration takes us to the forefront of scientific discovery, where researchers are pushing the boundaries of our knowledge and exploring new frontiers in nonlinear dynamics and complexity. We delve into the mysteries of quantum chaos, where the principles of nonlinearity and complexity intertwine with the enigmatic world of quantum mechanics. Explore the potential of chaos control, where scientists seek to tame the unpredictable behavior of chaotic systems and harness their power for practical applications. "Chains of Nonlinearities" unveils the profound connections between nonlinearity and complexity across diverse disciplines, revealing a deep underlying unity in the universe. Discover how the principles of nonlinear dynamics and complexity can help us understand phenomena as varied as the formation of galaxies, the evolution of life, the behavior of financial markets, and the workings of the human brain. Join us on this captivating journey through the world of nonlinear dynamics and complexity. Prepare to be amazed by the intricate patterns, unexpected behaviors, and profound implications that lie hidden within the nonlinear heart of our universe. "Chains of Nonlinearities" is an essential guide for anyone seeking to understand the complex and interconnected world we live in. If you like this book, write a review!
Nonlinear Dynamics In Complex Systems
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Author : Armin Fuchs
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-23
Nonlinear Dynamics In Complex Systems written by Armin Fuchs and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-23 with Mathematics categories.
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)
Discontinuity Nonlinearity And Complexity
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Author : Lev Ostrovsky
language : en
Publisher: L& H Scientific Publishing
Release Date : 2018-07-01
Discontinuity Nonlinearity And Complexity written by Lev Ostrovsky and has been published by L& H Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-01 with Mathematics categories.
The interdisciplinary journal publishes original and new results on recent developments, discoveries and progresses on Discontinuity, Nonlinearity and Complexity in physical and social sciences. The aim of the journal is to stimulate more research interest for exploration of discontinuity, complexity, nonlinearity and chaos in complex systems. The manuscripts in dynamical systems with nonlinearity and chaos are solicited, which includes mathematical theories and methods, physical principles and laws, and computational techniques. The journal provides a place to researchers for the rapid exchange of ideas and techniques in discontinuity, complexity, nonlinearity and chaos in physical and social sciences. No length limitations for contributions are set, but only concisely written manuscripts are published. Brief papers are published on the basis of Technical Notes. Discussions of previous published papers are welcome. Topics of Interest Complex and hybrid dynamical systemsDiscontinuous dynamical systems (i.e., impulsive, time-delay, flow barriers)Nonlinear discrete systems and symbolic dynamicsFractional dynamical systems and controlStochastic dynamical systems and randomnessComplexity, self-similarity and synchronization in nonlinear physicsNonlinear phenomena and physical mechanismsStability, bifurcation and chaos in complex systemsHydrodynamics, turbulence and complexity mechanismNonlinear waves and solitonDynamical networksCombinatorial aspects of dynamical systemsBiological dynamics and biophysics
Applications Of Nonlinear Dynamics
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Author : Visarath In
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-02-11
Applications Of Nonlinear Dynamics written by Visarath In and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-11 with Technology & Engineering categories.
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.
What Is A Complex System
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Author : James Ladyman
language : en
Publisher: Yale University Press
Release Date : 2020-08-05
What Is A Complex System written by James Ladyman and has been published by Yale University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-05 with Science categories.
A clear, concise introduction to the quickly growing field of complexity science that explains its conceptual and mathematical foundations What is a complex system? Although “complexity science” is used to understand phenomena as diverse as the behavior of honeybees, the economic markets, the human brain, and the climate, there is no agreement about its foundations. In this introduction for students, academics, and general readers, philosopher of science James Ladyman and physicist Karoline Wiesner develop an account of complexity that brings the different concepts and mathematical measures applied to complex systems into a single framework. They introduce the different features of complex systems, discuss different conceptions of complexity, and develop their own account. They explain why complexity science is so important in today’s world.
Nonlinear Science
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Author : Zensho Yoshida
language : en
Publisher:
Release Date : 2010
Nonlinear Science written by Zensho Yoshida and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
This book gives a general, basic understanding of the mathematical structure "nonlinearity" that lies in the depths of complex systems. Analyzing the heterogeneity that the prefix "non" represents with respect to notions such as the linear space, integrability and scale hierarchy, "nonlinear science" is explained as a challenge of deconstruction of the modern sciences. This book is not a technical guide to teach mathematical tools of nonlinear analysis, nor a zoology of so-called nonlinear phenomena. By critically analyzing the structure of linear theories, and clarifying their limitation, this book makes the meaning of "nonlinear" (and, at the same time, of "linear") precise and concrete. The core material is accessible to a much broader audience beyond specialists. It also includes notes that describe more advanced materials for extended studies which might be rather non-trivial for specialists in physics and mathematics.
Nonlinear Systems
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Author : Bo Yang
language : en
Publisher: BoD – Books on Demand
Release Date : 2023-03-15
Nonlinear Systems written by Bo Yang and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-15 with Mathematics categories.
In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of input. Nonlinear control systems, which are among the new technologies most widely used in many fields such as economic management, industrial production, technology research and development, ecological prevention and control, are at the core of worldwide automation control technology. In contrast to linear control systems, the nonlinear control system has the characteristics of a data model: stability, zero-input system response, self-excited oscillation or limit cycle, and a more complex structure, increasing the difficulty of its theoretical analysis and technical development. Nonlinear systems are common phenomena in real life and as such cannot be ignored. Analysis and research of nonlinear systems are therefore important, and researchers need to clarify their characteristics, explore scientific and effective application measures, and finally enhance their control quality. This book comprehensively investigates the main principles, core mechanisms, typical problems, and relevant solutions involved in nonlinear systems. In general, this book aims to provide advanced research on nonlinear systems and control schemes for researchers and engineers working in related fields, and thus promote future study in this research area.
Nonlinear And Complex Dynamics
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Author : José António Tenreiro Machado
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-08-28
Nonlinear And Complex Dynamics written by José António Tenreiro Machado and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-28 with Technology & Engineering categories.
Nonlinear Dynamics of Complex Systems describes chaos, fractal and stochasticities within celestial mechanics, financial systems and biochemical systems. Part I discusses methods and applications in celestial systems and new results in such areas as low energy impact dynamics, low-thrust planar trajectories to the moon and earth-to-halo transfers in the sun, earth and moon. Part II presents the dynamics of complex systems including bio-systems, neural systems, chemical systems and hydro-dynamical systems. Finally, Part III covers economic and financial systems including market uncertainty, inflation, economic activity and foreign competition and the role of nonlinear dynamics in each.