Introduction to Chaos and Coherence

Introduction to Chaos and Coherence
Author: Jan Froyland
Publisher: Routledge
Total Pages: 145
Release: 2022-01-26
Genre: Science
ISBN: 1351437186

This book provides an introduction to the theory of chaotic systems and demonstrates how chaos and coherence are interwoven in some of the models exhibiting deterministic chaos. It is based on the lecture notes for a short course in dynamical systems theory given at the University of Oslo.

Introduction to Chaos

Introduction to Chaos
Author: H Nagashima
Publisher: CRC Press
Total Pages: 164
Release: 2019-06-06
Genre: Mathematics
ISBN: 0429525656

This book focuses on explaining the fundamentals of the physics and mathematics of chaotic phenomena by studying examples from one-dimensional maps and simple differential equations. It is helpful for postgraduate students and researchers in mathematics, physics and other areas of science.

Introduction to Chaos and Coherence

Introduction to Chaos and Coherence
Author: J. Froyland
Publisher: CRC Press
Total Pages: 144
Release: 2019-10-02
Genre: Chaotic behavior in systems
ISBN: 9781138458185

This book provides an introduction to the theory of chaotic systems and demonstrates how chaos and coherence are interwoven in some of the models exhibiting deterministic chaos. It is based on the lecture notes for a short course in dynamical systems theory given at the University of Oslo.

Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos
Author: Steven H. Strogatz
Publisher: CRC Press
Total Pages: 532
Release: 2018-05-04
Genre: Mathematics
ISBN: 0429961111

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.

Chaos and Fractals

Chaos and Fractals
Author: David P. Feldman
Publisher: Oxford University Press, USA
Total Pages: 432
Release: 2012-08-09
Genre: Mathematics
ISBN: 0199566445

For students with a background in elementary algebra, this book provides a vivid introduction to the key phenomena and ideas of chaos and fractals, including the butterfly effect, strange attractors, fractal dimensions, Julia Sets and the Mandelbrot Set, power laws, and cellular automata. The book includes over 200 end-of-chapter exercises.

Engaging Emergence

Engaging Emergence
Author: Peggy Holman
Publisher: Berrett-Koehler Publishers
Total Pages: 265
Release: 2010-09-06
Genre: Business & Economics
ISBN: 1605095214

In this work, change specialist Holman reframes how we deal with chaos and change, and explains to leaders how to turn upheaval into opportunity and renewal.

Chaos

Chaos
Author: H.J. Korsch
Publisher: Springer
Total Pages: 325
Release: 2013-06-29
Genre: Science
ISBN: 366202991X

An outstanding selection of executable programs with introductory texts to chaos theory and its simulation. Students in physics, mathematics, and engineering will find a thorough introduction to fundamentals and applications in this field, backed by many numerical experiments and suggestions for further studies. Ten executable programs and numerous examples are included on two 3 1/2" MS-DOS diskettes.

Complexity

Complexity
Author: M. Mitchell Waldrop
Publisher: Open Road Media
Total Pages: 492
Release: 2019-10-01
Genre: Science
ISBN: 150405914X

“If you liked Chaos, you’ll love Complexity. Waldrop creates the most exciting intellectual adventure story of the year” (The Washington Post). In a rarified world of scientific research, a revolution has been brewing. Its activists are not anarchists, but rather Nobel Laureates in physics and economics and pony-tailed graduates, mathematicians, and computer scientists from all over the world. They have formed an iconoclastic think-tank and their radical idea is to create a new science: complexity. They want to know how a primordial soup of simple molecules managed to turn itself into the first living cell—and what the origin of life some four billion years ago can tell us about the process of technological innovation today. This book is their story—the story of how they have tried to forge what they like to call the science of the twenty-first century. “Lucidly shows physicists, biologists, computer scientists and economists swapping metaphors and reveling in the sense that epochal discoveries are just around the corner . . . [Waldrop] has a special talent for relaying the exhilaration of moments of intellectual insight.” —The New York Times Book Review “Where I enjoyed the book was when it dove into the actual question of complexity, talking about complex systems in economics, biology, genetics, computer modeling, and so on. Snippets of rare beauty here and there almost took your breath away.” —Medium “[Waldrop] provides a good grounding of what may indeed be the first flowering of a new science.” —Publishers Weekly

Exploring Chaos

Exploring Chaos
Author: Brian Davies
Publisher: CRC Press
Total Pages: 200
Release: 2018-05-04
Genre: Mathematics
ISBN: 0429982496

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.

Galileo Unbound

Galileo Unbound
Author: David D. Nolte
Publisher: Oxford University Press
Total Pages: 384
Release: 2018-07-12
Genre: Science
ISBN: 0192528505

Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.