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"Chaotic behavior in systems."
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Elegant chaos
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.
eBook
Fly me to the moon
When a leaf falls on a windy day, it drifts and tumbles, tossed
every which way on the breeze. This is chaos in action. In Fly
Me to the Moon, Edward Belbruno shows how to harness the same
principle for low-fuel space travel--or, as he puts it, \"surfing
the gravitational field.\"
Belbruno devised one of the most exciting concepts now being
used in space flight, that of swinging through the cosmos on the
subtle fluctuations of the planets' gravitational pulls. His idea
was met with skepticism until 1991, when he used it to get a stray
Japanese satellite back on course to the Moon. The successful
rescue represented the first application of chaos to space travel
and ushered in an emerging new field.
Part memoir, part scientific adventure story, Fly Me to the
Moon gives a gripping insider's account of that mission and of
Belbruno's personal struggles with the science establishment. Along
the way, Belbruno introduces readers to recent breathtaking
advances in American space exploration. He discusses ways to
capture and redirect asteroids; presents new research on the origin
of the Moon; weighs in on discoveries like 2003 UB313 (now named
Eris), a dwarf planet detected in the far outer reaches of our
solar system--and much more.
Grounded in Belbruno's own rigorous theoretical research but
written for a general audience, Fly Me to the Moon is for
anybody who has ever felt moved by the spirit of discovery.
eBook
Elegant automation : robotic analysis of chaotic systems
\"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\"-- Provided by publisher.
BOOK
Chaos theory : modeling, simulation and applications : selected papers from the 3rd Chaotic Modeling and Simulation Conference (CHAOS2010), Chania, Crete, Greece, 1-4 June 2010
The work done in chaotic modeling and simulation during the last decades has changed our views of the world around us and has introduced new scientific tools, methods and techniques. Advanced topics of these achievements are included in this volume on Chaos Theory which focuses on Chaotic Modeling, Simulation and Applications of the nonlinear phenomena. This volume includes the best papers presented in the 3rd International Conference on CHAOS. This interdisciplinary conference attracted people from many scientific fields dealing with chaos, nonlinear dynamics, fractals and the works presented and the papers included here are of particular interest that could provide a broad understanding of chaos in its various forms.The chapters relate to many fields of chaos including Dynamical and Nonlinear Systems, Attractors and Fractals, Hydro-Fluid Dynamics and Mechanics, Chaos in Meteorology and Cosmology, Chaos in Biology and Genetics, Chaotic Control, Chaos in Economy and Markets, and Computer Composition and Chaotic Simulations, including related applications.Contents: Nonlinearity of Earth: Astonishing Diversity and Wide Prospects (O B Khavroshkin & V V Tsyplakov)On a Problem of Approximation of Markov Chains by a Solution of a Stochastic Differential Equation (Gabriel V Orman)Modeling Recent Economic Debates (Christos H Skiadas)On Logistic-Like Iterative Maps (Dimitrios A Sotiropoulos)Exploring Process of Fibre Breaking in Tube Samples of Composite During Quasi-Static Process of Fracture (Dorota Aniszewska & Marek Rybaczuk)Non Hamiltonian Chaos from Nambu Dynamics of Surfaces (Minos Axenides)Multifractal and Wavelet Analysis of Epileptic Seizures (Olga E Dick & Irina A Mochovikova)Aesthetic Considerations in Algorithmic and Generative Composition (Kerry L Hagan)Freedom and Necessity in Computer Aided Composition: A Thinking Framework and Its Application (Johannes Kretz)Rendering Statistical Significance of Information Flow Measures (Angeliki Papana & Dimitris Kugiumtzis)and other papersReadership: Undergraduate and graduate students and researchers in nonlinear systems and dynamics, complex systems and fluid mechanics; mathematicians; physicists; general scientists and engineers.
eBook
Education and Conflict
First-place winner of the Society for Education Studies' 2005 book prize, Education and Conflict is a critical review of education in an international context. Based on the author's extensive research and experience of education in several areas afflicted by conflict, the book explores the relationship between schooling and social conflict and looks at conflict internal to schools. It posits a direct link between the ethos of a school and the attitudes of future citizens towards 'others'. It also looks at the nature and purpose of peace education and war education, and addresses the role of gender and masculinity.In five lucid, vigorously argued sections, the author brings this thought-provoking and original piece of work to life by:* Setting out the terms of the debate, defining conflict and peace and outlining the relevant aspects of complexity theory for education* Exploring the sources of conflict and their relations to schooling in terms of gender/masculinity, pluralism, nationalism and identity* Focusing on the direct education/war interface* Examining educational responses to conflict* Highlighting conflict resolution within the school itself.This is the first time that so many aspects of conflict and education have been brought together in one sustained argument. With its crucial exposure of the currently culpable role of formal schooling in maintaining conflict, this book will be a powerful and essential read for educational policy makers, managers, teachers and researchers dealing with conflict in their own contexts.
eBook