Shadowing Chaos Within Turbulence PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Shadowing Chaos Within Turbulence PDF full book. Access full book title Shadowing Chaos Within Turbulence by . Download full books in PDF and EPUB format.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 21
Get Book Here
Book Description
The first focus is on parametrization and decomposition of turbulence in geophysical flows. Such flows are described by 3D Euler/Navier-Stokes equations with Boussinesq stratification and uniform rotation. Within the context of rotation in thin atmospheric layers, we demonstrate that geophysical turbulence splits between 2D turbulence for the geostrophic component and phase turbulence for the geostrophic component. By solving low-dimensional dynamical systems, we obtain exact formulas for phase turbulence and phase scrambling in atmospheric dynamics. Numerically, this leads to rigorous non-stiff operator splitting algorithms for geophysical flows. The second focus is on inertial stability of such algorithms. The new concept of inertial stability guarantees that long time simulation of turbulence via scientific computing is indeed statistically relevant to real physical turbulence.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 21
Get Book Here
Book Description
The first focus is on parametrization and decomposition of turbulence in geophysical flows. Such flows are described by 3D Euler/Navier-Stokes equations with Boussinesq stratification and uniform rotation. Within the context of rotation in thin atmospheric layers, we demonstrate that geophysical turbulence splits between 2D turbulence for the geostrophic component and phase turbulence for the geostrophic component. By solving low-dimensional dynamical systems, we obtain exact formulas for phase turbulence and phase scrambling in atmospheric dynamics. Numerically, this leads to rigorous non-stiff operator splitting algorithms for geophysical flows. The second focus is on inertial stability of such algorithms. The new concept of inertial stability guarantees that long time simulation of turbulence via scientific computing is indeed statistically relevant to real physical turbulence.
Author: Adrian Ivakhiv
Publisher: punctum books
ISBN: 1947447874
Category : Nature
Languages : en
Pages : 296
Get Book Here
Book Description
A spectre is haunting humanity: the spectre of a reality that will outwit and, in the end, bury us. "The Anthropocene," or The Human Era, is an attempt to name our geological fate - that we will one day disappear into the layer-cake of Earth's geology - while highlighting humanity in the starring role of today's Earthly drama. In Shadowing the Anthropocene, Adrian Ivakhiv proposes an ecological realism that takes as its starting point humanity's eventual demise. The only question for a realist today, he suggests, is what to do now and what quality of compost to leave behind with our burial. The book engages with the challenges of the Anthropocene and with a series of philosophical efforts to address them, including those of Slavoj Zizek and Charles Taylor, Graham Harman and Timothy Morton, Isabelle Stengers and Bruno Latour, and William Connolly and Jane Bennett. Along the way, there are volcanic eruptions and revolutions, ant cities and dog parks, data clouds and space junk, pagan gods and sacrificial altars, dark flow, souls (of things), and jazz. Ivakhiv draws from centuries old process-relational thinking that hearkens back to Daoist and Buddhist sages, but gains incisive re-invigoration in the philosophies of Charles Sanders Peirce and Alfred North Whitehead. He translates those insights into practices of "engaged Anthropocenic bodymindfulness" - aesthetic, ethical, and ecological practices for living in the shadow of the Anthropocene.
Author: David Ruelle
Publisher: World Scientific
ISBN: 9789810223106
Category : Science
Languages : en
Pages : 496
Get Book Here
Book Description
The present collection of reprints covers the main contributions of David Ruelle, and coauthors, to the theory of chaos and its applications. Several of the papers reproduced here are classics in the field. Others (that were published in less accessible places) may still surprise the reader.The collection contains mathematical articles relevant to chaos, specific articles on the theory, and articles on applications to hydrodynamical turbulence, chemical oscillations, etc.A sound judgement of the value of techniques and applications is crucial in the interdisciplinary field of chaos. For a critical assessment of what has been achieved in this area, the present volume is an invaluable contribution.
Author: Ying-Cheng Lai
Publisher: Springer Science & Business Media
ISBN: 144196987X
Category : Mathematics
Languages : en
Pages : 499
Get Book Here
Book Description
The aim of this Book is to give an overview, based on the results of nearly three decades of intensive research, of transient chaos. One belief that motivates us to write this book is that, transient chaos may not have been appreciated even within the nonlinear-science community, let alone other scientific disciplines.
Author: Christophe Letellier
Publisher: World Scientific
ISBN: 9814374423
Category : Mathematics
Languages : en
Pages : 393
Get Book Here
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.
Author: Philip Holmes
Publisher: Cambridge University Press
ISBN: 1107008255
Category : Mathematics
Languages : en
Pages : 403
Get Book Here
Book Description
Describes methods revealing the structures and dynamics of turbulence for engineering, physical science and mathematics researchers working in fluid dynamics.
Author: Christophe Letellier
Publisher: World Scientific
ISBN: 9814434876
Category : Mathematics
Languages : en
Pages : 362
Get Book Here
Book Description
The book surveys how chaotic behaviors can be described with topological tools and how this approach occurred in chaos theory. Some modern applications are included.The contents are mainly devoted to topology, the main field of Robert Gilmore's works in dynamical systems. They include a review on the topological analysis of chaotic dynamics, works done in the past as well as the very latest issues. Most of the contributors who published during the 90's, including the very well-known scientists Otto Rössler, René Lozi and Joan Birman, have made a significant impact on chaos theory, discrete chaos, and knot theory, respectively.Very few books cover the topological approach for investigating nonlinear dynamical systems. The present book will provide not only some historical — not necessarily widely known — contributions (about the different types of chaos introduced by Rössler and not just the “Rössler attractor”; Gumowski and Mira's contributions in electronics; Poincaré's heritage in nonlinear dynamics) but also some recent applications in laser dynamics, biology, etc.
Author: John Casti
Publisher: John Wiley & Sons
ISBN: 9780471184355
Category : Mathematics
Languages : en
Pages : 414
Get Book Here
Book Description
Die beiden ursprünglich 1992 veröffentlichten Bände liegen nun in zusammengefaßter Paperback-Form vor. Reality Rules beleuchten die Syntax und die Semantik der Sprache, in der mathematische Modellierungsregeln niedergelegt werden. Eine Vielzahl von Beispielen zeigt praktische Anwendungen auf; auch ein Lösungsband zur Unterstützung des Selbststudiums ist erhältlich.
Author: N. Katherine Hayles
Publisher: Cornell University Press
ISBN: 1501722956
Category : Computers
Languages : en
Pages : 328
Get Book Here
Book Description
N. Katherine Hayles here investigates parallels between contemporary literature and critical theory and the science of chaos. She finds in both scientific and literary discourse new interpretations of chaos, which is seen no longer as disorder but as a locus of maximum information and complexity. She examines structures and themes of disorder in The Education of Henry Adams, Doris Lessing’s Golden Notebook, and works by Stanislaw Lem. Hayles shows how the writings of poststructuralist theorists including Barthes, Lyotard, Derrida, Serres, and de Man incorporate central features of chaos theory.
Author: J. C. Vassilicos
Publisher: Cambridge University Press
ISBN: 9780521792219
Category : Mathematics
Languages : en
Pages : 292
Get Book Here
Book Description
This volume was the product of a workshop held at the Newton Institute in Cambridge, and examines turbulence, intermittency, nonlinear dynamics and fluid mechanics.
