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Author: Julien Clinton Sprott Publisher: World Scientific ISBN: 9814468673 Category : Mathematics Languages : en Pages : 302
Book Description
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.
Author: Julien Clinton Sprott Publisher: World Scientific Publishing ISBN: 9813237155 Category : Computers Languages : en Pages : 266
Book Description
Fractals are intricate geometrical forms that contain miniature copies of themselves on ever smaller scales. This colorful book describes methods for producing an endless variety of fractal art using a computer program that searches through millions of equations looking for those few that can produce images having aesthetic appeal. Over a hundred examples of such images are included with a link to the software that produced these images, and can also produce many more similar fractals. The underlying mathematics of the process is also explained in detail.Other books by the author that could be of interest to the reader are Elegant Chaos: Algebraically Simple Chaotic Flows (J C Sprott, 2010) and Elegant Circuits: Simple Chaotic Oscillators (J C Sprott and W J Thio, 2020).
Author: Eryn Stansfield Publisher: ISBN: 9781947966444 Category : Biography & Autobiography Languages : en Pages : 112
Book Description
At the age of fourteen, Eryn starts college with the dream of becoming a physician. Until, two years later, her world is shattered by a cancer diagnosis, forcing her to reexamine her short life. She also can't help agonizing over the loss of all her beautiful, long hair. Previously immersed in her books and studies, Eryn wants more than anything to be given a second chance to live the life she has only read and dreamed about. But, as she lies in her hospital bed, all the bargaining in the world can't negotiate with this death sentence. Her memoir, Elegant Chaos, is the tale of how the dire events in Eryn's diagnosis combine to mold a beautiful and meaningful existence for one girl's life story.
Author: Kristie Macrakis Publisher: Georgetown University Press ISBN: 1647123232 Category : History Languages : en Pages : 284
Book Description
"Ever since the earliest days of the Cold War, American intelligence agencies have launched spies in the sky, implanted spies in the ether, burrowed spies underground, sunk spies in the ocean, and even tried chemical means to pry open the human mind. The United States increasingly has covered the globe with planes, satellites, drones, electronics, tunnels, and submarines all in the service of intelligence. Hard targets meant that American intelligence could not entirely rely on human spies, but it was more than that. Nothing is Beyond Our Reach reveals how America's love-affair with technology has led to its dependence on machines in intelligence collection and how this has almost inadvertently created a global surveillance empire. In a lively and engaging narrative, author Kristie Macrakis tells this story of how intelligence has changed from American technophilia and what its implications will be"--
Author: Julien Clinton Sprott Publisher: World Scientific ISBN: 9811240019 Category : Science Languages : en Pages : 357
Book Description
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.
Author: Julien Clinton Sprott Publisher: World Scientific ISBN: 9811263582 Category : Science Languages : en Pages : 325
Book Description
A recent development is the discovery that simple systems of equations can have chaotic solutions in which small changes in initial conditions have a large effect on the outcome, rendering the corresponding experiments effectively irreproducible and unpredictable. An earlier book in this sequence, Elegant Chaos: Algebraically Simple Chaotic Flows provided several hundred examples of such systems, nearly all of which are purely mathematical without any obvious connection with actual physical processes and with very limited discussion and analysis.In this book, we focus on a much smaller subset of such models, chosen because they simulate some common or important physical phenomenon, usually involving the motion of a limited number of point-like particles, and we discuss these models in much greater detail. As with the earlier book, the chosen models are the mathematically simplest formulations that exhibit the phenomena of interest, and thus they are what we consider 'elegant.'Elegant models, stripped of unnecessary detail while maximizing clarity, beauty, and simplicity, occupy common ground bordering both real-world modeling and aesthetic mathematical analyses. A computational search led one of us (JCS) to the same set of differential equations previously used by the other (WGH) to connect the classical dynamics of Newton and Hamilton to macroscopic thermodynamics. This joint book displays and explores dozens of such relatively simple models meeting the criteria of elegance, taste, and beauty in structure, style, and consequence.This book should be of interest to students and researchers who enjoy simulating and studying complex particle motions with unusual dynamical behaviors. The book assumes only an elementary knowledge of calculus. The systems are initial-value iterated maps and ordinary differential equations but they must be solved numerically. Thus for readers a formal differential equations course is not at all necessary, of little value and limited use.
Author: Julien Clinton Sprott Publisher: World Scientific ISBN: 9811277532 Category : Science Languages : en Pages : 348
Book Description
This book was mostly written by a machine that was programmed to search a system of equations for chaotic solutions, simplify the equations to the extent possible, analyze the behavior, produce figures, and write the accompanying text. The equations are coupled autonomous ordinary differential equations with three variables and at least one nonlinearity. Fifty simple systems are included. Some are old and familiar; others are relatively new and unknown. They are chosen to illustrate by simple example most of dynamical behaviors that can occur in low-dimensional chaotic systems.There is no substitute for the thrill and insight of seeing the solution of a simple equation unfold as the trajectory wanders in real time across your computer screen using a program of your own making. A goal of this book is to inspire and delight as well as to teach. It provides a wealth of examples ripe for further study and extension, and it offers a glimpse of a future when artificial intelligence supplants many of the mundane tasks that accompany dynamical systems research and becomes a true and tireless collaborator.
Author: Kim Seppälä Publisher: Erik Istrup Publishing ISBN: 8792980678 Category : Body, Mind & Spirit Languages : en Pages : 289
Book Description
This book lifts the veils of mystery around embodied spirituality and sovereignty. What happens to our minds, hearts and bodies when we allow the alchemical process of self-realization? How does it affect our lives and relationships, and how can we navigate through the dark night of the Soul into the dawn of enlightenment? These are some of the themes covered in this book. Whilst each path is unique and personal, there are certain tools that can be supportive on this bizarre adventure. In addition to such tools of clarity and inspiration, the book includes in-depth interviews with eight modern masters, awakened humans who are walking their paths of self-realization whilst living very human, 21st century lives. Above all, the purpose of this book is to support the reader in connecting with and embodying their inner voice of wisdom and mastery.
Author: Viet-Thanh Pham Publisher: Springer ISBN: 3319537210 Category : Technology & Engineering Languages : en Pages : 111
Book Description
This brief provides a general overview of nonlinear systems that exhibit hidden-attractor behavior, a topic of interest in subjects as divers as physics, mechanics, electronics and secure communications. The brief is intended for readers who want to understand the concepts of the hidden attractor and hidden-attractor systems and to implement such systems experimentally using common electronic components. Emergent topics in circuit implementation of systems with hidden attractors are included. The brief serves as an up-to-date reference on an important research topic for undergraduate/graduate students, laboratory researchers and lecturers in various areas of engineering and physics.
Author: Julien C. Sprott
Author: Julien C. Sprott
Author: Julien Clinton Sprott
Author: Julien Clinton Sprott
Author: Eryn Stansfield
Author: Kristie Macrakis
Author: Julien Clinton Sprott
Author: Julien Clinton Sprott
Author: Julien Clinton Sprott
Author: Kim Seppälä
Author: Viet-Thanh Pham