Introduction to Turbulent Dynamical Systems in Complex Systems
This volume is a research expository article on the applied mathematics of turbulent dynamical systems through the paradigm of modern applied mathematics. It involves the blending of rigorous mathematical theory, qualitative and quantitative modeling, and
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Andrew J. Majda
Introduction to Turbulent Dynamical Systems in Complex Systems
Frontiers in Applied Dynamical Systems: Reviews and Tutorials Volume 5
Frontiers in Applied Dynamical Systems: Reviews and Tutorials The Frontiers in Applied Dynamical Systems (FIADS) covers emerging topics and significant developments in the field of applied dynamical systems. It is a collection of invited review articles by leading researchers in dynamical systems, their applications and related areas. Contributions in this series should be seen as a portal for a broad audience of researchers in dynamical systems at all levels and can serve as advanced teaching aids for graduate students. Each contribution provides an informal outline of a specific area, an interesting application, a recent technique, or a “how-to” for analytical methods and for computational algorithms, and a list of key references. All articles will be refereed. Editors-in-Chief Christopher K.R.T Jones, University of North Carolina, Chapel Hill, USA Björn Sandstede, Brown University, Providence, USA Lai-Sang Young, New York University, New York, USA Series Editors Margaret Beck, Boston University, Boston, USA Henk A. Dijkstra, Utrecht University, Utrecht, The Netherlands Martin Hairer, University of Warwick, Coventry, UK Vadim Kaloshin, University of Maryland, College Park, USA Hiroshi Kokubu, Kyoto University, Kyoto, Japan Rafael de la Llave, Georgia Institute of Technology, Atlanta, USA Peter Mucha, University of North Carolina, Chapel Hill, USA Clarence Rowley, Princeton University, Princeton, USA Jonathan Rubin, University of Pittsburgh, Pittsburgh, USA Tim Sauer, George Mason University, Fairfax, USA James Sneyd, University of Auckland, Auckland, New Zealand Andrew Stuart, University of Warwick, Coventry, UK Edriss Titi, Texas A&M University, College Station, USA, Weizmann Institute of Science, Rehovot, Israel Thomas Wanner, George Mason University, Fairfax, USA Martin Wechselberger, University of Sydney, Sydney, Australia Ruth Williams, University of California, San Diego, USA
More information about this series at http://www.springer.com/series/13763
Andrew J. Majda
Introduction to Turbulent Dynamical Systems in Complex Systems
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Andrew J. Majda New York University New York, NY USA
ISSN 2364-4532 ISSN 2364-4931 (electronic) Frontiers in Applied Dynamical Systems: Reviews and Tutorials ISBN 978-3-319-32215-5 ISBN 978-3-319-32217-9 (eBook) DOI 10.1007/978-3-319-32217-9 Library of Congress Control Number: 2016947470 Mathematics Subject Classification (2010): 62M20, 76F55, 86-08, 86A22, 86A10, 82C31, 82C80, 37A60 © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by sim
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