Nonlinear Dynamics and Chaos: Advances and Perspectives Series: Understanding Complex Systems

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M. Thiel, J. Kurths, M.C. Romano, G. Károlyi, A. Moura (Eds.) Nonlinear Dynamics and Chaos: Advances and Perspectives Series: Understanding Complex Systems This book is a collection of contributions on various aspects of active frontier research in the field of dynamical systems and chaos. Each chapter examines a specific research topic and, in addition to reviewing recent results, also discusses future perspectives. The result is an invaluable snapshot of the state of the field by some of its most important researchers. The first contribution in this book, "How did you get into Chaos?", is actually a collection of personal accounts by a number of distinguished scientists on how they entered the field of chaos and dynamical systems, featuring comments and recollections by James Yorke, Harry Swinney, Floris Takens, Peter Grassberger, Edward Ott, Lou Pecora, Itamar Procaccia, Michael Berry, Giulio Casati, Valentin Afraimovich, Robert MacKay, and last but not least, 2010, XV, 293 p. 16 illus. in color. Celso Grebogi, to whom this volume is dedicated. Printed book Hardcover ▶ 139,99 € | £119.99 | $169.99 ▶ *149,79 € (D) | 153,99 € (A) | CHF 165.50 eBook Available from your bookstore or ▶ springer.com/shop MyCopy Printed eBook for just ▶ € | $ 24.99 ▶ springer.com/mycopy Order online at springer.com ▶ or for the Americas call (toll free) 1-800-SPRINGER ▶ or email us at: [email protected]. ▶ For outside the Americas call +49 (0) 6221-345-4301 ▶ or email us at: [email protected]. The first € price and the £ and $ price are net prices, subject to local VAT. Prices indicated with * include VAT for books; the €(D) includes 7% for Germany, the €(A) includes 10% for Austria. Prices indicated with ** include VAT for electronic products; 19% for Germany, 20% for Austria. All prices exclusive of carriage charges. Prices and other details are subject to change without notice. All errors and omissions excepted..

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Arxiv:2103.17058V2 [Physics.Pop-Ph] 3 Apr 2021 the Fodder for This Paper
My cat Chester’s dynamical systems analysyyyyy7777777777777777y7is of the laser pointer and the red dot on the wall: correlation, causation, or SARS-Cov-2 hallucination? Eve Armstrong*†‡1,2 and Chester 1Department of Physics, New York Institute of Technology, New York, NY 10023, USA 2Department of Astrophysics, American Museum of Natural History, New York, NY 10024, USA (Dated: April 1, 2021) Abstract My cat Chester investigates the elusive relationship between the appearance in my hand of a silver laser pointer and that of a red dot on the wall, or on the floor, or on any other object that resides within the vicinity of the laser pointer. Chester first assesses preliminary establishments for causality, including mutual information, temporal precedence, and control for third variables. These assessments are all inconclusive for various reasons. In particular, mutual information fails to illuminate the problem due to a dearth of information regarding what the laser pointer might have been doing at times following Chester’s first awareness of the dot. Next Chester performs a formal reconstruction of phase space via time-delay embedding, to unfold the gggggggggggfffgfgtredvteometry ,mmmm.........,.„......,.mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm of the underlying dynamical system giving rise to the red dot’s trajectory. The resulting attractor does not resemble a laser pointer. The reconstruction could, however, be flawed, for example, due to the short temporal duration of the dot’s observed trajectory. Finally, the red dot could be a hallucination: a symptom brought on by COVID-19 - because, well, these days pretty much anything might be a symptom brought on by COVID-19. On this note, Chester’s kitten brother Mad Dog Lapynski offers an independent check on the red dot’s existence.
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What Is a Complex System?
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Peter Grassberger Physics Department, University of Wuppertal, Wuppertal, West-Germany Z
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Self-Organised Criticality: Theory, Models and Characterisation Gunnar Pruessner Frontmatter More Information
Cambridge University Press 978-0-521-85335-4 - Self-Organised Criticality: Theory, Models and Characterisation Gunnar Pruessner Frontmatter More information Self-Organised Criticality Theory, Models and Characterisation Giving a detailed overview of the subject, this book takes in the results and methods that have arisen since the term ‘self-organised criticality’ was coined twenty years ago. Providing an overview of numerical and analytical methods, from their theoretical foun- dation to actual application and implementation, the book is an easy access point to im- portant results and sophisticated methods. Starting with the famous Bak–Tang–Wiesenfeld sandpile, ten key models are carefully defined, together with their results and applications. Comprehensive tables of numerical results are collected in one volume for the first time, making the information readily accessible to readers. Written for graduate students and practising researchers in a range of disciplines, from physics and mathematics to biology, sociology, finance, medicine and engineering, the book gives a practical, hands-on approach throughout. Methods and results are applied in ways that will relate to the reader’s own research. Gunnar Pruessner is a Lecturer in Mathematical Physics in the Department of Mathematics at Imperial College London. His research ranges from complexity, through field theoretic methods and applications, to synchronisation and the application of statistical mechanics in the medical sciences. © in this web service Cambridge University Press www.cambridge.org
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