This text provides an introduction to the exciting new developments in chaos and related topics in nonlinear dynamics, including the detection and quantification of chaos in experimental data, fractals, and complex systems. Most of the important elementary concepts in nonlinear dynamics are discussed, with emphasis on the physical concepts and useful results rather than mathematical proofs and derivations. While many books on chaos are purely qualitative and many others are highly mathematical, this book fills the middle ground by giving the essential equations, but in the simplest possible form. It assumes only an elementary knowledge of calculus. Complex numbers, differential equations, and vector calculus are used in places, but those tools are described as required. The book is aimed at the student, scientist, or engineer who wants to learn how to use the ideas in a practical setting. It is written at a level suitable for advanced undergraduate and beginning graduate students in all fields of science and engineering.

Chaos and Time-Series Analysis

Science & Math

Sprott, Julien Clinton

Mathematics

Oxford Univ. Pr.

Sprott’s demonstrations will fascinate, amaze, and teach students the wonders of physics. A compilation of physics demonstrations performed at the University of Wisconsin–Madison and in the popular lecture series The Wonders of Physics, Physics Demonstrations includes demonstrations illustrating properties of motion, heat, sound, electricity, magnetism, and light. All demonstrations include a brief description, a materials list, preparation procedures, a provocative discussion of the phenomena displayed and the principles illustrated, important information about potential hazards, and references. Suitable for performance outside the laboratory, Sprott’s demonstrations are an indispensable teaching tool.

Physics Demonstrations: A Sourcebook for Teachers of Physics

Physics

University of Wisconsin Press

Wow! How? Few techniques are as effective at generating interest in science as dramatic demonstrations. This fully illustrated sourcebook describes eighty-five physics demonstrations suitable for performance both inside and outside classrooms. These demonstrations will fascinate and amaze while teaching the wonders and practical science of physics. Videos for the demonstrations are online at http://physicsdemonstrationsvideos.com/. Dr. Sprott shares demonstrations tested over many years in his popular public lectures on “The Wonders of Physics,” which appeal to general audiences and to students from grade school to graduate school. Science teachers at all levels will find a wealth of detail showing how to present these demonstrations to students with flair. Science professionals will find indispensable information for creating educational and entertaining public programs. Organized to teach the six major areas of classical physics―motion, heat, sound, electricity, magnetism, and light―Physics Demonstrations includes: • a brief description of each demonstration • materials lists, with sources for common materials • preparation procedures • discussions of the physics principles demonstrated • potential safety hazards • references for further information.

Experiments, Instruments & Measurement

Use the carefully crafted outlines in this gorgeous coloring book to produce your own stunning fractal artwork with colored pencils, markers, or crayons while improving your artistic skills and having fun. Some of the most intriguing patterns are found in fractals. Never-ending with shapes reminiscent of objects seen in nature, fractals contain miniature copies of themselves. 
In this book you will find a rich source of beautiful patterns just waiting for you to bring them to life with vivid colors. Assembled here is a treasure trove of fractal outlines, both ancient and modern, that you will love to personalize and make your own. Take your coloring to a whole new creative level with the Fractal Coloring Book. Whether you lose yourself in the coloring of one of these mesmerizing designs or use them to decorate a serene space at home, viewing a colorful fractal promises to inspire a sense of calm and tranquility. 
The Fractal Coloring Book is not your ordinary coloring book, and it will inspire children and adults alike. For more fabulous and unconventional coloring books, check out other books in the series, including Impressionist Coloring Book, Fairies Coloring Book, Flowers Coloring Book, Tattoo Coloring Book, Mandala Coloring Book and Victoriana Coloring Book. There is no right or wrong way to choose colors for these wonderful objects, a happy fact that leaves you free to let your imagination be your guide.

Fractals Coloring Book: Over 60 Complex and Mind-Altering Images (Chartwell Coloring Books, 9)

Arts & Photography

Graphic Design

Chartwell Books

Step-by-step instructions lead the reader through the creation of a program that produces an endless number of patterns and musical sounds. The package contains over 350 examples of computer art plus an interactive disk and 3-D glasses. The source code is provided in BASIC, C, C++, Visual BASIC for Windows, and in QuickBASIC for Macintosh users. There are sixteen pages of color plates, and many black and white illustrations. Annotation copyright Book News, Inc. Portland, Or.

Strange Attractors: Creating Patterns in Chaos/Book and Disk

Computers & Technology

M&T Books

Chaos is the study of the underlying determinism in the seemingly random phenomena that occur all around us. One of the best experimental demonstrations of chaos occurs in electrical circuits when the parameters are chosen carefully. We will show you how to construct such chaotic circuits for use in your own studies and demonstrations while teaching you the basics of chaos. This book should be of interest to researchers and hobbyists looking for a simple way to produce a chaotic signal. It should also be useful to students and their instructors as an engaging way to learn about chaotic dynamics and electronic circuits. The book assumes only an elementary knowledge of calculus and the ability to understand a schematic diagram and the components that it contains. You will get the most out of this book if you can construct the circuits for yourself. There is no substitute for the thrill and insight of seeing the output of a circuit you built unfold as the trajectory wanders in real time across your oscilloscope screen. A goal of this book is to inspire and delight as well as to teach.

Elegant Circuits: Simple Chaotic Oscillators

Thio, Wesley Joo-chen

WSPC

Elegant Simulations: From Simple Oscillators To Many-body Systems (Elegant Series)

Hoover, William Graham

Hoover, Carol Griswold

With the poems written by winner of the Posner Poetry Award from the Council of Wisconsin Writers in 2005, this coffee-table book will delight and inform general readers curious about ideas of chaos, fractals, and nonlinear complex systems. Developed out of ten years of interdisciplinary seminars in chaos and complex systems at the University of Wisconsin-Madison, it features multiple ways of knowing: Robin Chapman's poems of everyday experience of change in a complex world, associated metaphorically with Julien Clinton Sprott's full-color computer art generated from billions of versions of only three simple equations for strange attractors, Julia sets, and iterated function systems; his definitions of 39 key terms; a mathematical appendix; and even a multiple-choice quiz to test understanding. Accompanied by a CD-ROM of the poet reading 13 poems and 1,000 images of chaos art from which slide shows can be generated and 100 high-resolution posters created, the book has a foreword by Cliff Pickover, author of A Passion for Mathematics.

Images of a Complex World: The Art and Poetry of Chaos

Chapman, Robin S.

World Scientific Publishing Company

This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rössler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known. Most cases include plots of the attractor and calculations of the spectra of Lyapunov exponents. Some important cases include graphs showing the route to chaos. The book includes many cases not previously published as well as examples of simple electronic circuits that exhibit chaos. No existing book thus far focuses on mathematically elegant chaotic systems. This book should therefore be of interest to chaos researchers looking for simple systems to use in their studies, to instructors who want examples to teach and motivate students, and to students doing independent study.

Elegant Chaos: Algebraically Simple Chaotic Flows

See the best price to sell, buy, or rent books by Sprott, Julien Clinton. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Sprott, Julien Clinton

See the best price to sell, buy, or rent books by Sprott, Julien Clinton. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Chaos and Time-Series Analysis

Physics Demonstrations: A Sourcebook for Teachers of Physics

Physics Demonstrations: A Sourcebook for Teachers of Physics

Fractals Coloring Book: Over 60 Complex and Mind-Altering Images (Chartwell Coloring Books, 9)

Strange Attractors: Creating Patterns in Chaos/Book and Disk

Elegant Circuits: Simple Chaotic Oscillators

Elegant Simulations: From Simple Oscillators To Many-body Systems (Elegant Series)

Images of a Complex World: The Art and Poetry of Chaos

Images of a Complex World: The Art and Poetry of Chaos

Elegant Chaos: Algebraically Simple Chaotic Flows