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A Chaotic Hierarchy

1991-03-29
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Release : 1991-03-29
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Kind : eBook
Book Rating : 90X/5 ( reviews)

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Book Synopsis A Chaotic Hierarchy by : Gerold Baier

Download or read book A Chaotic Hierarchy written by Gerold Baier. This book was released on 1991-03-29. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles introduces the idea of a hierarchical order in chaotic systems and natural phenomena. To understand nature, nonlinear sciences use a multidisciplinary perspective. Therefore the book integrates research work of different fields: experimental evidence for the theory drawn from physics, biology and chemistry; theoretical progress in mathematical treatment, numerical techniques and graphical methods of nonlinear sciences; and to not-yet-understood philosophical and fundamental problems related to chaos and cosmos, chaos and quantum mechanics or evolutionary dynamics. Featuring the most recent advances in nonlinear dynamics this collection should provide an indispensable reference source and starting point for further research concerning dynamical and hierarchical chaotic systems. Besides this book is in honor of Professor O E Rössler, one of the pioneers of Chaos Theory, who celebrated his 50th birthday in May 1990.

A Chaotic Hierarchy

1991-01-01 Computers
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Release : 1991-01-01
Genre : Computers
Kind : eBook
Book Rating : 237/5 ( reviews)

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Book Synopsis A Chaotic Hierarchy by : Gerold Baier

Download or read book A Chaotic Hierarchy written by Gerold Baier. This book was released on 1991-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Celebrating the 50th birthday of a pioneer in chaos theory, this volume presents a collection of invited research articles by close friends and scientists who were influenced by Otto E. Rossler. The articles span an interdisciplinary range from biology, biochemistry, physics, mathematics, and philosophy. Rossler's pivotal 1983 paper, "The chaotic hierarchy", is reprinted from the Zeitschrift fur naturforschung. Nicely produced and illustrated. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Hierarchy

2017-11-10 Philosophy
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Release : 2017-11-10
Genre : Philosophy
Kind : eBook
Book Rating : 68X/5 ( reviews)

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Book Synopsis Hierarchy by : T. F. H. Allen

Download or read book Hierarchy written by T. F. H. Allen. This book was released on 2017-11-10. Available in PDF, EPUB and Kindle. Book excerpt: Ecosystems are incredibly complex, non-linear structures and self-organized entities; they cannot be described by simple models or by statistical approaches. Within each ecosystem are scores of individuals interacting continuously with others and with their biotic and abiotic surroundings, over vast geographic spaces, and over varying time scales as well. To approach the enormity of this complexity, ecologists have developed tools to simplify and aggregate information, and among them is Hierarchy Theory. Instead of analyzing the whole structure to understand the functions of the system, Hierarchy Theory analyzes hierarchical levels only and the interactions between them. It draws upon two different paradigms of complexity, reductionism and holism, adapting the most useful features of each into a viable means of studying ecosystems. It reduces the amount of data the researcher has to deal with, and it explicitly considers the relevant entities and interconnections of a larger complex system according to a specific research question. Originally published in 1982, Hierarchy was the first book to apply the tool to ecological systems. In the three decades since its publication, the work has influenced myriad large scale research initiatives in ecology, and this new, thoroughly revised edition reflects the assimilation of the theory in ecological research, and its successful application to the understanding of complex systems.

Chaos

2020-05-20 Science
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Release : 2020-05-20
Genre : Science
Kind : eBook
Book Rating : 051/5 ( reviews)

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Book Synopsis Chaos by : Otto E. Rössler

Download or read book Chaos written by Otto E. Rössler. This book was released on 2020-05-20. Available in PDF, EPUB and Kindle. Book excerpt: Written in the 1980s by one of the fathers of chaos theory, Otto E. Rössler, the manuscript presented in this volume eventually never got published. Almost 40 years later, it remains astonishingly at the forefront of knowledge about chaos theory and many of the examples discussed have never been published elsewhere. The manuscript has now been edited by Christophe Letellier - involved in chaos theory for almost three decades himself, as well as being active in the history of sciences - with a minimum of changes to the original text. Finally released for the benefit of specialists and non-specialists alike, this book is equally interesting from the historical and the scientific points of view: an unconventionally modern approach to chaos theory, it can be read as a classic introduction and short monograph as well as a collection of original insights into advanced topics from this field.

Predictability of Chaotic Dynamics

2019-10-25 Science
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Release : 2019-10-25
Genre : Science
Kind : eBook
Book Rating : 304/5 ( reviews)

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Book Synopsis Predictability of Chaotic Dynamics by : Juan C. Vallejo

Download or read book Predictability of Chaotic Dynamics written by Juan C. Vallejo. This book was released on 2019-10-25. Available in PDF, EPUB and Kindle. Book excerpt: This book is primarily concerned with the computational aspects of predictability of dynamical systems - in particular those where observations, modeling and computation are strongly interdependent. Unlike with physical systems under control in laboratories, in astronomy it is uncommon to have the possibility of altering the key parameters of the studied objects. Therefore, the numerical simulations offer an essential tool for analysing these systems, and their reliability is of ever-increasing interest and importance. In this interdisciplinary scenario, the underlying physics provide the simulated models, nonlinear dynamics provides their chaoticity and instability properties, and the computer sciences provide the actual numerical implementation. This book introduces and explores precisely this link between the models and their predictability characterization based on concepts derived from the field of nonlinear dynamics, with a focus on the strong sensitivity to initial conditions and the use of Lyapunov exponents to characterize this sensitivity. This method is illustrated using several well-known continuous dynamical systems, such as the Contopoulos, Hénon-Heiles and Rössler systems. This second edition revises and significantly enlarges the material of the first edition by providing new entry points for discussing new predictability issues on a variety of areas such as machine decision-making, partial differential equations or the analysis of attractors and basins. Finally, the parts of the book devoted to the application of these ideas to astronomy have been greatly enlarged, by first presenting some basics aspects of predictability in astronomy and then by expanding these ideas to a detailed analysis of a galactic potential.

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