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Complex Systems: Chaos and Beyond

Complex Systems: Chaos and Beyond
Author: Kunihiko Kaneko
Publisher: Springer Science & Business Media
Total Pages: 284
Release: 2011-06-28
Genre: Mathematics
ISBN: 3642568610

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This book, the first in a series on this subject, is the outcome of many years of efforts to give a new all-encompassing approach to complex systems in nature based on chaos theory. While maintaining a high level of rigor, the authors avoid an overly complicated mathematical apparatus, making the book accessible to a wider interdisciplinary readership.


Chaos Theory

Chaos Theory
Author: Kais A. M. Al Naimee
Publisher: BoD – Books on Demand
Total Pages: 262
Release: 2018-03-28
Genre: Computers
ISBN: 9535139452

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With a good background in nonlinear dynamics, chaos theory, and applications, the author of this leading book gives a systematic treatment of the basic principle of nonlinear dynamics in different fields. The contributions from leading international scientists active in the field provide a comprehensive overview of our current level of background on chaos theory and applications in different sciences. In addition, they show overlap with the traditional field of control theory in scientific community.


Fault Lines of Globalization

Fault Lines of Globalization
Author: Hans Lindahl
Publisher: OUP Oxford
Total Pages: 350
Release: 2013-09-26
Genre: Law
ISBN: 0191511536

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The question whether and how boundaries might individuate and thereby be constitutive features of any imaginable legal order has yet to be addressed in a systematic and comprehensive manner by legal and political theory. This book seeks to address this important omission, providing an original contribution to the debate about law in a global setting. Against the widely endorsed assumption that we are now moving towards law without boundaries, it argues that every imaginable legal order, global or otherwise, is bounded in space, time, membership, and content. The book is built up around three main insights. Firstly, that legal orders can best be understood as a form of joint action in which authorities mediate and uphold who ought to do what, where, and when with a view to realising the normative point of acting together. Secondly, that behaviour can call into question the boundaries that determine who ought to do what, where and when: a-legality. Thirdly, that this a-legality reveals boundaries as marking a limit and, to a lesser or greater extent, a fault line of the respective legal order. Legal boundaries reveal ways of ordering the who, what, where, and when of behaviour which have been excluded, yet which remain within the range of practical possibilities accessible to the collective: limits. However legal boundaries also intimate an order which exceeds the range of possibilities accessible to that collective - the fault line of the respective legal order. Careful analysis of a wide range of legal orders, including nomadism, Roman law, classical international law, ius gentium, multinationals, cyberlaw, lex mercatoria, the EU, global regimes of human rights, and space law validates this thesis. What sense, then, can we make of the normativity of the law, if there can be no inclusion without exclusion? Arguing that legal and political theories misunderstand how legal boundaries do their work of including and excluding, the book develops a normative theory of legal order which is alternative to both communitarianism and cosmopolitanism.


Geometric Structures of Phase Space in Multi-Dimensional Chaos

Geometric Structures of Phase Space in Multi-Dimensional Chaos
Author: Mikito Toda
Publisher: John Wiley & Sons
Total Pages: 711
Release: 2005-01-03
Genre: Science
ISBN: 0471714631

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This series provides the chemical physics field with a forum for critical, authoritative evaluations of advances in every area of the discipline. Volume 130 in the series continues to report recent advances with significant, up-to-date chapters by internationally recognized researchers.


Chaos

Chaos
Author: Angelo Vulpiani
Publisher: World Scientific
Total Pages: 482
Release: 2010
Genre: Mathematics
ISBN: 9814277665

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Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research. The first part, intended for undergraduate and graduate students, is a gentle and self-contained introduction to the concepts and main tools for the characterization of deterministic chaotic systems, with emphasis to statistical approaches. The second part can be used as a reference by researchers as it focuses on more advanced topics including the characterization of chaos with tools of information theory and applications encompassing fluid and celestial mechanics, chemistry and biology. The book is novel in devoting attention to a few topics often overlooked in introductory textbooks and which are usually found only in advanced surveys such as: information and algorithmic complexity theory applied to chaos and generalization of Lyapunov exponents to account for spatiotemporal and non-infinitesimal perturbations. The selection of topics, numerous illustrations, exercises and proposals for computer experiments make the book ideal for both introductory and advanced courses. Sample Chapter(s). Introduction (164 KB). Chapter 1: First Encounter with Chaos (1,323 KB). Contents: First Encounter with Chaos; The Language of Dynamical Systems; Examples of Chaotic Behaviors; Probabilistic Approach to Chaos; Characterization of Chaotic Dynamical Systems; From Order to Chaos in Dissipative Systems; Chaos in Hamiltonian Systems; Chaos and Information Theory; Coarse-Grained Information and Large Scale Predictability; Chaos in Numerical and Laboratory Experiments; Chaos in Low Dimensional Systems; Spatiotemporal Chaos; Turbulence as a Dynamical System Problem; Chaos and Statistical Mechanics: Fermi-Pasta-Ulam a Case Study. Readership: Students and researchers in science (physics, chemistry, mathematics, biology) and engineering.


Hyperbolic Chaos

Hyperbolic Chaos
Author: Sergey P. Kuznetsov
Publisher: Springer Science & Business Media
Total Pages: 318
Release: 2012-03-20
Genre: Science
ISBN: 3642236669

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"Hyperbolic Chaos: A Physicist’s View” presents recent progress on uniformly hyperbolic attractors in dynamical systems from a physical rather than mathematical perspective (e.g. the Plykin attractor, the Smale – Williams solenoid). The structurally stable attractors manifest strong stochastic properties, but are insensitive to variation of functions and parameters in the dynamical systems. Based on these characteristics of hyperbolic chaos, this monograph shows how to find hyperbolic chaotic attractors in physical systems and how to design a physical systems that possess hyperbolic chaos. This book is designed as a reference work for university professors and researchers in the fields of physics, mechanics, and engineering. Dr. Sergey P. Kuznetsov is a professor at the Department of Nonlinear Processes, Saratov State University, Russia.


Operationalizing Sustainability

Operationalizing Sustainability
Author: Pierre Massotte
Publisher: John Wiley & Sons
Total Pages: 438
Release: 2015-10-19
Genre: Business & Economics
ISBN: 1848218923

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This book focuses on the emergence of the "science of sustainability" and the key concepts in making sustainability operational in an organization. The authors discuss the methods, techniques and tools needed to manage the impact of sustainability and how these can be reformulated into business models and solutions for new growth and applications. They then move onto the reformulation of future thinking processes before ending by looking towards an approach for the measurement of sustainability and competitiveness.


Chaos, Fractals and Complexity

Chaos, Fractals and Complexity
Author: Tassos Bountis
Publisher: Springer Nature
Total Pages: 381
Release: 2023-10-23
Genre: Science
ISBN: 3031374045

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This volume of proceedings contains research results within the framework of the fields of Chaos, Fractals and Complexity, written by experienced professors, young researchers, and applied scientists. It includes reviews of the fields, which are presented in an educational way for the widest possible audience, analytical results, computer simulations and experimental evidence, focusing on mathematical modelling. The papers presented here are selected from lectures given at the 28th Summer School “Dynamical Systems and Complexity”, July 18 – 27, 2022. Topics cover applications of complex systems in Neuroscience, Biology, Photonics, Seismology, Meteorology, and more broadly Physical and Engineering systems. The summer school has a long history, which began at the University of Patras in 1987 and continues with great success to this day. The original main purpose was to introduce young students and researchers of Greece to a new science that emerged several decades ago and continues to grow internationally at an ever increasing rate around the world.


Collective Chaos

Collective Chaos
Author: Samantha Tucker
Publisher: Ohio University Press
Total Pages: 253
Release: 2023-04-11
Genre: Biography & Autobiography
ISBN: 0804041199

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A view into the continuing evolution of the niche-yet-global sport through the historical lens of Ohio Roller Derby, one of the founding leagues of the Women’s Flat Track Derby Association Part sports autobiography, part cultural critique, this book offers the collective experience of a tenacious group of nontraditional athletes who play, officiate, plan, schedule, market, and manage the business of a (mostly) women’s amateur sports team. This modern sport, with its alternative, punk rock culture, is often a place for those who’ve struggled within the mainstream. But even as the sport is often home for historically marginalized groups, such as the LGBTQ+ community, roller derby organizations and participants often mirror and experience the same inequities as those in the world surrounding them. In a full-contact, theatrical sport that some consider revolutionary, the authors show that gaining truly radical self-knowledge is an ongoing, difficult process that requires love, teamwork, discipline, critical consideration of one’s local and global societies, and—above all else—one’s place and action within them.


Experimental Chaos

Experimental Chaos
Author: Visarath In
Publisher: American Institute of Physics
Total Pages: 418
Release: 2003-09-04
Genre: Science
ISBN:

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Electronics, optics, and fluids have been strong fields for the application of nonlineardynamics. The trend over the years has been the growth of biophysics (especially neuroscience and cardiac dynamics), oceanography, and geophysics for the employment of the concepts and techniques of nonlinear dynamics. Topics include: electronics; optics; geophysics, oceanography, and meterology; hydrodynamics, turbulence, and plasmas; biophysics; neurophysiology; chemical chaos; interdisciplinary; as well as data analysis.