Author: Nina Hall
Publisher: W. W. Norton & Company
ISBN: 9780393312263
Category : Mathematics
Languages : en
Pages : 244
Get Book Here
Book Description
Chaos theory is giving scientists fresh insights into all sorts of unruly phenomena-from dripping faucets to swinging pendulums, from the vagaries of the weather to the movements of the planets, from heart rhythms to gold futures. In this collection of front-line reports, edited for the general reader, internationally recognized experts such as Ian Stewart, Robert M. May, and Benoit Mandelbrot draw on the latest research to trace the roots of chaos in modern science and mathematics.
Author: Brian Davies
Publisher: CRC Press
ISBN: 0429982496
Category : Mathematics
Languages : en
Pages : 200
Get Book Here
Book Description
This book presents elements of the theory of chaos in dynamical systems in a framework of theoretical understanding coupled with numerical and graphical experimentation. It describes the theory of fractals, focusing on the importance of scaling and ordinary differential equations.
Author: John H. Argyris
Publisher: Springer
ISBN: 3662460424
Category : Technology & Engineering
Languages : en
Pages : 884
Get Book Here
Book Description
This book is conceived as a comprehensive and detailed text-book on non-linear dynamical systems with particular emphasis on the exploration of chaotic phenomena. The self-contained introductory presentation is addressed both to those who wish to study the physics of chaotic systems and non-linear dynamics intensively as well as those who are curious to learn more about the fascinating world of chaotic phenomena. Basic concepts like Poincaré section, iterated mappings, Hamiltonian chaos and KAM theory, strange attractors, fractal dimensions, Lyapunov exponents, bifurcation theory, self-similarity and renormalisation and transitions to chaos are thoroughly explained. To facilitate comprehension, mathematical concepts and tools are introduced in short sub-sections. The text is supported by numerous computer experiments and a multitude of graphical illustrations and colour plates emphasising the geometrical and topological characteristics of the underlying dynamics. This volume is a completely revised and enlarged second edition which comprises recently obtained research results of topical interest, and has been extended to include a new section on the basic concepts of probability theory. A completely new chapter on fully developed turbulence presents the successes of chaos theory, its limitations as well as future trends in the development of complex spatio-temporal structures. "This book will be of valuable help for my lectures" Hermann Haken, Stuttgart "This text-book should not be missing in any introductory lecture on non-linear systems and deterministic chaos" Wolfgang Kinzel, Würzburg “This well written book represents a comprehensive treatise on dynamical systems. It may serve as reference book for the whole field of nonlinear and chaotic systems and reports in a unique way on scientific developments of recent decades as well as important applications.” Joachim Peinke, Institute of Physics, Carl-von-Ossietzky University Oldenburg, Germany
Author: Russ Miles
Publisher: "O'Reilly Media, Inc."
ISBN: 1492050954
Category : Computers
Languages : en
Pages : 166
Get Book Here
Book Description
Most companies work hard to avoid costly failures, but in complex systems a better approach is to embrace and learn from them. Through chaos engineering, you can proactively hunt for evidence of system weaknesses before they trigger a crisis. This practical book shows software developers and system administrators how to plan and run successful chaos engineering experiments. System weaknesses go beyond your infrastructure, platforms, and applications to include policies, practices, playbooks, and people. Author Russ Miles explains why, when, and how to test systems, processes, and team responses using simulated failures on Game Days. You’ll also learn how to work toward continuous chaos through automation with features you can share across your team and organization. Learn to think like a chaos engineer Build a hypothesis backlog to determine what could go wrong in your system Develop your hypotheses into chaos engineering experiment Game Days Write, run, and learn from automated chaos experiments using the open source Chaos Toolkit Turn chaos experiments into tests to confirm that you’ve overcome the weaknesses you discovered Observe and control your automated chaos experiments while they are running
Author: Laura K. Simmons
Publisher: Wipf and Stock Publishers
ISBN: 1498278655
Category : Religion
Languages : en
Pages : 223
Get Book Here
Book Description
Introduces contemporary readers to the lay theological writings of British novelist and playwright Dorothy L. Sayers.
Author: Ed Rietman
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 216
Get Book Here
Book Description
The science of chaos attracts the attention of researchers in many disciplines. The idea: by following simple principles of randomness and disorder, patterns emerge. Here, users on their own PC's can construct mathematical models duplicating processes found in nature.
Author: Steven H. Strogatz
Publisher: CRC Press
ISBN: 0429961111
Category : Mathematics
Languages : en
Pages : 532
Get Book Here
Book Description
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Author: Martin Meisel
Publisher: Columbia University Press
ISBN: 0231540469
Category : Literary Criticism
Languages : en
Pages : 604
Get Book Here
Book Description
The stories we tell in our attempt to make sense of the world—our myths and religion, literature and philosophy, science and art—are the comforting vehicles we use to transmit ideas of order. But beneath the quest for order lies the uneasy dread of fundamental disorder. True chaos is hard to imagine and even harder to represent. In this book, Martin Meisel considers the long effort to conjure, depict, and rationalize extreme disorder, with all the passion, excitement, and compromises the act provokes. Meisel builds a rough history from major social, psychological, and cosmological turning points in the imagining of chaos. He uses examples from literature, philosophy, painting, graphic art, science, linguistics, music, and film, particularly exploring the remarkable shift in the eighteenth and nineteenth centuries from conceiving of chaos as disruptive to celebrating its liberating and energizing potential. Discussions of Sophocles, Plato, Lucretius, Calderon, Milton, Haydn, Blake, Faraday, Chekhov, Faulkner, Wells, and Beckett, among others, are matched with incisive readings of art by Brueghel, Rubens, Goya, Turner, Dix, Dada, and the futurists. Meisel addresses the revolution in mapping energy and entropy and the manifold effect of thermodynamics. He then uses this chaotic frame to elaborate on purpose, mortality, meaning, and mind.
Author: Ralph Abraham
Publisher: World Scientific
ISBN: 9789812386472
Category : Mathematics
Languages : en
Pages : 236
Get Book Here
Book Description
This book is an authoritative and unique reference for the history of chaos theory, told by the pioneers themselves. It also provides an excellent historical introduction to the concepts. There are eleven contributions, and six of them are published here for the first time OCo two by Steve Smale, three by Yoshisuke Ueda, and one each by Ralph Abraham, Edward Lorenz, Christian Mira, Floris Takens, T Y Li and James A Yorke, and Otto E Rossler. Contents: On How I Got Started in Dynamical Systems 1959OCo1962 (S Smale); Finding a Horseshoe on the Beaches of Rio (S Smale); Strange Attractors and the Origin of Chaos (Y Ueda); My Encounter with Chaos (Y Ueda); Reflections on the Origin of the Broken-Egg Chaotic Attractor (Y Ueda); The Chaos Revolution: A Personal View (R Abraham); The Butterfly Effect (E Lorenz); I Gumowski and a Toulouse Research Group in the OC PrehistoricOCO Times of Chaotic Dynamics (C Mira); The Turbulence Paper of D Ruelle & F Takens (F Takens); Exploring Chaos on an Interval (T Y Li & J A Yorke); Chaos, Hyperchaos and the Double-Perspective (O E RAssler). Readership: Educators and university students of science and mathematics."
Author: Casey Rosenthal
Publisher: "O'Reilly Media, Inc."
ISBN: 1492043818
Category : Computers
Languages : en
Pages : 289
Get Book Here
Book Description
As more companies move toward microservices and other distributed technologies, the complexity of these systems increases. You can't remove the complexity, but through Chaos Engineering you can discover vulnerabilities and prevent outages before they impact your customers. This practical guide shows engineers how to navigate complex systems while optimizing to meet business goals. Two of the field's prominent figures, Casey Rosenthal and Nora Jones, pioneered the discipline while working together at Netflix. In this book, they expound on the what, how, and why of Chaos Engineering while facilitating a conversation from practitioners across industries. Many chapters are written by contributing authors to widen the perspective across verticals within (and beyond) the software industry. Learn how Chaos Engineering enables your organization to navigate complexity Explore a methodology to avoid failures within your application, network, and infrastructure Move from theory to practice through real-world stories from industry experts at Google, Microsoft, Slack, and LinkedIn, among others Establish a framework for thinking about complexity within software systems Design a Chaos Engineering program around game days and move toward highly targeted, automated experiments Learn how to design continuous collaborative chaos experiments
