Analysis of Observed Chaotic Data

Analysis of Observed Chaotic Data PDF Author: Henry Abarbanel
Publisher: Springer Science & Business Media
ISBN: 1461207630
Category : Science
Languages : en
Pages : 278

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Book Description
A clear and systematic treatment of time series of data, regular and chaotic, found in nonlinear systems. The text leads readers from measurements of one or more variables through the steps of building models of the source as a dynamical system, classifying the source by its dynamical characteristics, and finally predicting and controlling the dynamical system. It examines methods for separating the signal of physical interest from contamination by unwanted noise, and for investigating the phase space of the chaotic signal and its properties. The emphasis throughout is on the use of modern mathematical tools for investigating chaotic behaviour to uncover properties of physical systems, requiring knowledge of dynamical systems at the advanced undergraduate level and some knowledge of Fourier transforms and other signal processing methods.

Analysis of Observed Chaotic Data

Analysis of Observed Chaotic Data PDF Author: Henry Abarbanel
Publisher: Springer Science & Business Media
ISBN: 1461207630
Category : Science
Languages : en
Pages : 278

Get Book Here

Book Description
A clear and systematic treatment of time series of data, regular and chaotic, found in nonlinear systems. The text leads readers from measurements of one or more variables through the steps of building models of the source as a dynamical system, classifying the source by its dynamical characteristics, and finally predicting and controlling the dynamical system. It examines methods for separating the signal of physical interest from contamination by unwanted noise, and for investigating the phase space of the chaotic signal and its properties. The emphasis throughout is on the use of modern mathematical tools for investigating chaotic behaviour to uncover properties of physical systems, requiring knowledge of dynamical systems at the advanced undergraduate level and some knowledge of Fourier transforms and other signal processing methods.

The Essence Of Chaos

The Essence Of Chaos PDF Author: Flavio Lorenzelli
Publisher: CRC Press
ISBN: 0203214587
Category : Science
Languages : en
Pages : 236

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Book Description
The study of chaotic systems has become a major scientific pursuit in recent years, shedding light on the apparently random behaviour observed in fields as diverse as climatology and mechanics. InThe Essence of Chaos Edward Lorenz, one of the founding fathers of Chaos and the originator of its seminal concept of the Butterfly Effect, presents his own landscape of our current understanding of the field. Lorenz presents everyday examples of chaotic behaviour, such as the toss of a coin, the pinball's path, the fall of a leaf, and explains in elementary mathematical strms how their essentially chaotic nature can be understood. His principal example involved the construction of a model of a board sliding down a ski slope. Through this model Lorenz illustrates chaotic phenomena and the related concepts of bifurcation and strange attractors. He also provides the context in which chaos can be related to the similarly emergent fields of nonlinearity, complexity and fractals. As an early pioneer of chaos, Lorenz also provides his own story of the human endeavour in developing this new field. He describes his initial encounters with chaos through his study of climate and introduces many of the personalities who contributed early breakthroughs. His seminal paper, "Does the Flap of a Butterfly's Wing in Brazil Set Off a Tornado in Texas?" is published for the first time.

Chaos

Chaos PDF Author: Leonard Smith
Publisher: Oxford University Press, USA
ISBN: 0192853783
Category : Mathematics
Languages : en
Pages : 201

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Book Description
Chaos exists in systems all around us. This introduction draws in philosophy, literature, and maths to explain Chaos Theory, showing the variety of its applications in the real world, from technology to global warming, politics, and even gambling on the stock market.

Borrowed Knowledge

Borrowed Knowledge PDF Author: Stephen H. Kellert
Publisher: University of Chicago Press
ISBN: 0226429806
Category : Science
Languages : en
Pages : 303

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Book Description
What happens to scientific knowledge when researchers outside the natural sciences bring elements of the latest trend across disciplinary boundaries for their own purposes? Researchers in fields from anthropology to family therapy and traffic planning employ the concepts, methods, and results of chaos theory to harness the disciplinary prestige of the natural sciences, to motivate methodological change or conceptual reorganization within their home discipline, and to justify public policies and aesthetic judgments. Using the recent explosion in the use (and abuse) of chaos theory, Borrowed Knowledge and the Challenge of Learning across Disciplines examines the relationship between science and other disciplines as well as the place of scientific knowledge within our broader culture. Stephen H. Kellert’s detailed investigation of the myriad uses of chaos theory reveals serious problems that can arise in the interchange between science and other knowledge-making pursuits, as well as opportunities for constructive interchange. By engaging with recent debates about interdisciplinary research, Kellert contributes a theoretical vocabulary and a set of critical frameworks for the rigorous examination of borrowing.

Chaos, Complexity, and Leadership 2023

Chaos, Complexity, and Leadership 2023 PDF Author: Şefika Şule Erçetin
Publisher: Springer Nature
ISBN: 3031642651
Category :
Languages : en
Pages : 184

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Book Description


Chaos in Nature

Chaos in Nature PDF Author: Christophe Letellier
Publisher: World Scientific
ISBN: 9814374423
Category : Mathematics
Languages : en
Pages : 393

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Book Description
Chaos theory deals with the description of motion (in a general sense) which cannot be predicted in the long term although produced by deterministic system, as well exemplified by meteorological phenomena. It directly comes from the Lunar theory — a three-body problem — and the difficulty encountered by astronomers to accurately predict the long-term evolution of the Moon using “Newtonian” mechanics. Henri Poincaré's deep intuitions were at the origin of chaos theory. They also led the meteorologist Edward Lorenz to draw the first chaotic attractor ever published. But the main idea consists of plotting a curve representative of the system evolution rather than finding an analytical solution as commonly done in classical mechanics. Such a novel approach allows the description of population interactions and the solar activity as well. Using the original sources, the book draws on the history of the concepts underlying chaos theory from the 17th century to the last decade, and by various examples, show how general is this theory in a wide range of applications: meteorology, chemistry, populations, astrophysics, biomedicine, etc.

Observational Manifestation of Chaos in Astrophysical Objects

Observational Manifestation of Chaos in Astrophysical Objects PDF Author: Alexei Fridman
Publisher: Springer Science & Business Media
ISBN: 9401002479
Category : Science
Languages : en
Pages : 140

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Book Description
On August 2000 in the Lomonosov Moscow State University the first scientific conference dedicated to chaos in the real astronomical systems was held. The most prominent astrophysisists - specialist in the field of stochastic dynamics - attended the conference. A broad scope of the problems related to the observed manifes tations of chaotic motions in galactic and stellar objects, with the involvement of basic theory and numerical modeling, were addressed. The idea (not so obvious, as we believe, to many astrophysicists) was to show that, while great progress in the field of stochastic mechanics was accomplished, the science of chaos in actually observed systems is only just being born. Basically, the situation described prompted the organizers to hold the meeting in order to discuss chaotic processes in real systems. It seemed worthwhile to begin these introductory remarks with a brief descrip tion of some events that preceeded the conference. Since actually existing systems are the subject of the natural sciences, and in the latter experiments play the key role, we shall begin our account with the experimental results.

Away from Chaos

Away from Chaos PDF Author: Gilles Kepel
Publisher: Columbia University Press
ISBN: 0231551940
Category : Political Science
Languages : en
Pages : 544

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Book Description
The Middle East is one of the world’s most volatile regions. In recent years, from the optimism and then crushing disappointment of the Arab uprisings through the rise and fall of the Islamic State, it has presented key international security challenges. With the resilient jihadi terror threat, large-scale migration due to warfare and climate change, and fierce competition for control over oil, it promises to continue to be a powder keg. What ignited this instability? Away from Chaos is a sweeping political history of four decades of Middle East conflict and its worldwide ramifications. Gilles Kepel, called “France’s most famous scholar of Islam” by the New York Times, offers a clear and persuasive narrative of the long-term causes of tension while seamlessly incorporating on-the-ground observations and personal experiences from the people who lived through them. From the Yom Kippur/Ramadan war of 1973 to the aftermath of the Arab Spring, Away from Chaos weaves together the various threads that run through Middle East politics and ties them to their implications on the global stage. With keen insight stemming from decades of experience in the region, Kepel puts these chaotic decades in perspective and illuminates their underlying dynamics. He also considers the prospects of emerging from this long-lasting turmoil and for the people of the Middle East and the world to achieve a more stable future.

Selected Papers Of M Ohya

Selected Papers Of M Ohya PDF Author: Noboru Watanabe
Publisher: World Scientific
ISBN: 9814471550
Category : Science
Languages : en
Pages : 489

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Book Description
This volume is a collection of articles written by Professor M Ohya over the past three decades in the areas of quantum teleportation, quantum information theory, quantum computer, etc. By compiling Ohya's important works in these areas, the book serves as a useful reference for researchers who are working in these fields.

Where Do We Go from Here?

Where Do We Go from Here? PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description