CHAOS 2016 Book of Abstracts


Book Description

BOOK OF ABSTRACTS CHAOS 2016 Chaotic Modeling and Simulation International Conference London, U.K., 23-26 May 2016




Chaos Imagined


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.




Matter Over Mind


Book Description

Matter Over Mind begins with a thought-provoking journey through the Cosmos to illustrate the startling contrast between nature’s chaotic but rich processes, and the human mind’s organized but under performing habits. This book reveals how humanity could achieve even greater heights if we allow ourselves to rethink how we think. Chaos theory, which is wonderfully explained in this book, is a foundational recipe in nature and large group behavior. Abstract thinking is the opposite force that leads to frustrating inconsistencies in society and even limitations in technology. Viewing the world through both lenses illuminates the deeper dynamics of the world and a better way forward for humanity.




The Map of Chaos


Book Description

From the New York Times bestselling author of The Map of Time and The Map of the Sky, the final installment in the award-winning trilogy that The Washington Post called “a big, genre-bending delight.” When the person he loves most dies in tragic circumstances, the mysterious protagonist of The Map of Chaos does all he can to speak to her one last time. A session with a renowned medium seems to offer the only solution, but the experience unleashes terrible forces that bring the world to the brink of disaster. Salvation can only be found in The Map of Chaos, an obscure, hand-written mathematical treatise that he is desperate to uncover. In his search, he is given invaluable help by Sir Arthur Conan Doyle, Lewis Carroll, and of course by H.G. Wells, whose Invisible Man seems to have escaped from the pages of his famous novel to sow terror among mankind. They alone can discover the means to save the world and to find the path that will reunite the lovers separated by death. Proving once again that he is “a master of ingenious plotting” (Kirkus Reviews), Félix J. Palma brings together a cast of real and imagined literary characters in Victorian London, when spiritualism is at its height. The Map of Chaos is a spellbinding adventure that mixes impossible loves, nonstop action, real ghosts, and fake mediums, all while paying homage to the giants of science fiction.







Handbook of Applications of Chaos Theory


Book Description

In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. Handbook of Applications of Chaos Theory covers the main parts of chaos theory along with various applications to diverse areas. Expert contributors from around the world show how chaos theory is used to model unexplored cases and stimulate new applications. Accessible to scientists, engineers, and practitioners in a variety of fields, the book discusses the intermittency route to chaos, evolutionary dynamics and deterministic chaos, and the transition to phase synchronization chaos. It presents important contributions on strange attractors, self-exciting and hidden attractors, stability theory, Lyapunov exponents, and chaotic analysis. It explores the state of the art of chaos in plasma physics, plasma harmonics, and overtone coupling. It also describes flows and turbulence, chaotic interference versus decoherence, and an application of microwave networks to the simulation of quantum graphs. The book proceeds to give a detailed presentation of the chaotic, rogue, and noisy optical dissipative solitons; parhelic-like circle and chaotic light scattering; and interesting forms of the hyperbolic prism, the Poincaré disc, and foams. It also covers numerous application areas, from the analysis of blood pressure data and clinical digital pathology to chaotic pattern recognition to economics to musical arts and research.




Fractals, Chaos, Power Laws


Book Description

This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. The author -- hailed by Publishers Weekly as a modern Lewis Carroll -- conveys memorable insights in the form of puns and puzzles. 1992 edition.




Elegant Chaos: Algebraically Simple Chaotic Flows


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.




Newton's Clock


Book Description

With his critically acclaimed best-sellers The Mathematical Tourism and Islands of Truth, Ivars Peterson took readers to the frontiers of modern mathematics. His new book provides an up-to-date look at one of science's greatest detective stories: the search for order in the workings of the solar system. In the late 1600s, Sir Isaac Newton provided what astronomers had long sought: a seemingly reliable way of calculating planetary orbits and positions. Newton's laws of motion and his coherent, mathematical view of the universe dominated scientific discourse for centuries. At the same time, observers recorded subtle, unexpected movements of the planets and other bodies, suggesting that the solar system is not as placid and predictable as its venerable clock work image suggests. Today, scientists can go beyond the hand calculations, mathematical tables, and massive observational logs that limited the explorations of Newton, Copernicus, Galileo, Kepler, Tycho Brahe, and others. Using supercomputers to simulate the dynamics of the solar system, modern astronomers are learning more about the motions they observe and uncovering some astonishing examples of chaotic behavior in the heavens. Nonetheless, the long-term stability of the solar system remains a perplexing, unsolved issue, with each step toward its resolution exposing additional uncertainties and deeper mysteries. To show how our view of the solar system has changed from clocklike precision to chaos and complexity, Newton's Clock describes the development of celestial mechanics through the ages - from the star charts of ancient navigators to the seminal discoveries of the 17th century from the crucial work of Poincare to thestartling, sometimes controversial findings and theories made possible by modern mathematics and computer simulations. The result makes for entertaining and provocative reading, equal parts science, history and intellectual adventure.




Turbulent Mirror


Book Description

Explores the many faces of chaos and reveals how its laws direct most of the familiar processes of everyday life.