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Chaos and fractals are new mathematical ideas that have revolutionized our view of the world. They have application in virtually every academic discipline. This book shows examples of the artistic beauty that can arise from very simple equations, and teaches the reader how to produce an endless variety of such patterns. Disk includes a full working version of the program.
Strange Attractor Journal Five by Mark Pilkington,Jamie Sutcliffe Pdf
The return of the Strange Attractor Journal, offering a characteristically eclectic collection of high weirdness from the margins of culture. After seven years of silence, the acclaimed Strange Attractor Journal returns with a characteristically eclectic collection of high weirdness from the margins of culture. Covering previously uncharted regions of history, anthropology, art, literature, architecture, science, and magic since 2004, each Journal has presented new and unprecedented research into areas that scholarship has all too often ignored. Featuring essays from academics, artists, enthusiasts, and sorcerers, Journal Five explores matters including the folklore of foghorns; the occult origins of the dissident surrealist secret society the Acéphale; the pleasures of heathen falconry; the dark cosmological mysteries of Bremen's Haus Atlantis; a provisional taxonomy of animals with human faces; a twentieth-century crucifixion on Hampstead Heath, and an unpublished horror script by David MacGillivray and Ken Hollings. Journal Five sees Strange Attractor continuing in its mission to celebrate unpopular culture. Join us. Contributors Nadia Choucha, William Fowler, Jeremy Harte, Ken Hollings, Christopher Josiffe, Phil Legard, David MacGillivray, Karen Russo, Robert J. Wallis, Dan Wilson, E. H. Wormwood
Chaotic Evolution and Strange Attractors by David Ruelle Pdf
This book, based on lectures given at the Accademia dei Lincei, is an accessible and leisurely account of systems that display a chaotic time evolution. This behaviour, though deterministic, has features more characteristic of stochastic systems. The analysis here is based on a statistical technique known as time series analysis and so avoids complex mathematics, yet provides a good understanding of the fundamentals. Professor Ruelle is one of the world's authorities on chaos and dynamical systems and his account here will be welcomed by scientists in physics, engineering, biology, chemistry and economics who encounter nonlinear systems in their research.
More sophisticated high strangeness from the borderlands of culture, as Strange Attractor continues to explore the outer edges of anthropology, psychology, history, literature, art, spirit and science. In 2006 it explores the world of the early Islamic alchemists; visit a Burmese transgender spirit possession festival; meet 19th century French proto-surrealists and occultists; demonstrate how Theosophy influenced 20th century art; take a scalpel to historical tales of birth outside the womb; make a pilgrimage to Orford Ness, and much more.
An exhaustive investigation of the case of Gef, a “talking mongoose” or “man-weasel,” who appeared to a family living on the Isle of Man. “I am the fifth dimension! I am the eighth wonder of the world!” During the mid-1930s, British and overseas newspapers were full of incredible stories about Gef, a “talking mongoose” or “man-weasel” who had allegedly appeared in the home of the Irvings, a farming family in a remote district of the Isle of Man. The creature was said to speak in several languages, to sing, to steal objects from nearby farms, and to eavesdrop on local people. Despite written reports, magazine articles and books, several photographs, fur samples and paw prints, voluminous correspondence, and signed eyewitness statements, there is still no consensus as to what was really happening to the Irving family. Was it a hoax? An extreme case of folie à plusieurs? A poltergeist? The possession of an animal by an evil spirit? Now you can read all the evidence and decide for yourself. Seven years' research and interviews, photographs (many previously unseen), interviews with surviving witnesses, visits to the site—all are presented in this book, the first examination of the case for seventy years. In the words of its mischievous, enigmatic subject, “If you knew what I know, you'd know a hell of a lot!"
The equations which we are going to study in these notes were first presented in 1963 by E. N. Lorenz. They define a three-dimensional system of ordinary differential equations that depends on three real positive parameters. As we vary the parameters, we change the behaviour of the flow determined by the equations. For some parameter values, numerically computed solutions of the equations oscillate, apparently forever, in the pseudo-random way we now call "chaotic"; this is the main reason for the immense amount of interest generated by the equations in the eighteen years since Lorenz first presented them. In addition, there are some parameter values for which we see "preturbulence", a phenomenon in which trajectories oscillate chaotically for long periods of time before finally settling down to stable stationary or stable periodic behaviour, others in which we see "intermittent chaos", where trajectories alternate be tween chaotic and apparently stable periodic behaviours, and yet others in which we see "noisy periodicity", where trajectories appear chaotic though they stay very close to a non-stable periodic orbit. Though the Lorenz equations were not much studied in the years be tween 1963 and 1975, the number of man, woman, and computer hours spent on them in recent years - since they came to the general attention of mathematicians and other researchers - must be truly immense.
The Hopf Bifurcation and Its Applications by J. E. Marsden,M. McCracken Pdf
The goal of these notes is to give a reasonahly com plete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to spe cific problems, including stability calculations. Historical ly, the subject had its origins in the works of Poincare [1] around 1892 and was extensively discussed by Andronov and Witt [1] and their co-workers starting around 1930. Hopf's basic paper [1] appeared in 1942. Although the term "Poincare Andronov-Hopf bifurcation" is more accurate (sometimes Friedrichs is also included), the name "Hopf Bifurcation" seems more common, so we have used it. Hopf's crucial contribution was the extension from two dimensions to higher dimensions. The principal technique employed in the body of the text is that of invariant manifolds. The method of Ruelle Takens [1] is followed, with details, examples and proofs added. Several parts of the exposition in the main text come from papers of P. Chernoff, J. Dorroh, O. Lanford and F. Weissler to whom we are grateful. The general method of invariant manifolds is common in dynamical systems and in ordinary differential equations: see for example, Hale [1,2] and Hartman [1]. Of course, other methods are also available. In an attempt to keep the picture balanced, we have included samples of alternative approaches. Specifically, we have included a translation (by L. Howard and N. Kopell) of Hopf's original (and generally unavailable) paper.
Strange Attractor Journal Four by Mark Pilkington Pdf
From Haiti and Hong Kong to the fourth dimension and beyond: discover the secrets of madness in animals, voodoo soul and dub music, ancient peacock deities, Chinese poisoning cults, the history of spider silk weaving, heathen mugwort magic, sentient lightning, Jesuit conspiracy theories, junkie explorers, Dali's Atlantis, the resurgence of Pan (in London's Crouch End), anarchist pirates on Madagascar, an ancient Greek Rip Van Winkle and Alan Moore's unpublished John Dee opera.
Brian R. Hunt,Judy A. Kennedy,Tien-Yien Li,Helena E. Nusse
Author : Brian R. Hunt,Judy A. Kennedy,Tien-Yien Li,Helena E. Nusse Publisher : Springer Science & Business Media Page : 528 pages File Size : 41,6 Mb Release : 2004-01-08 Category : Mathematics ISBN : 0387403493
The Theory of Chaotic Attractors by Brian R. Hunt,Judy A. Kennedy,Tien-Yien Li,Helena E. Nusse Pdf
The editors felt that the time was right for a book on an important topic, the history and development of the notions of chaotic attractors and their "natu ral" invariant measures. We wanted to bring together a coherent collection of readable, interesting, outstanding papers for detailed study and comparison. We hope that this book will allow serious graduate students to hold seminars to study how the research in this field developed. Limitation of space forced us painfully to exclude many excellent, relevant papers, and the resulting choice reflects the interests of the editors. Since James Alan Yorke was born August 3, 1941, we chose to have this book commemorate his sixtieth birthday, honoring his research in this field. The editors are four of his collaborators. We would particularly like to thank Achi Dosanjh (senior editor math ematics), Elizabeth Young (assistant editor mathematics), Joel Ariaratnam (mathematics editorial), and Yong-Soon Hwang (book production editor) from Springer Verlag in New York for their efforts in publishing this book.
High Static, Dead Lines by Kristen Gallerneaux Pdf
A literary mix tape that explores the entwined boundaries between sound, material culture, landscape and esoteric belief. Trees rigged up to the wireless radio heavens. A fax machine used to decode the language of hurricanes. A broadcast ghost that hijacked a television station to terrorize a city. A failed computer factory in the desert with a slap-back echo resounding into ruin. In High Static, Dead Lines, media historian and artist Kristen Gallerneaux weaves a literary mix tape that explores the entwined boundaries between sound, material culture, landscape, and esoteric belief. Essays and fictocritical interludes are arranged to evoke a network of ley lines for the “sonic spectre” to travel through—a hypothetical presence that manifests itself as an invisible layer of noise alongside the conventional histories of technological artifacts. The objects and stories within span from the mid-nineteenth century to the present day, touching upon military, communications, and cultural history. A connective thread is the recurring presence of sound—audible, self-generative, and remembered—charting the contentious sonic histories of paranormal culture.
Coexistence and Persistence of Strange Attractors by Antonio Pumarino,Angel J. Rodriguez Pdf
Although chaotic behaviour had often been observed numerically earlier, the first mathematical proof of the existence, with positive probability (persistence) of strange attractors was given by Benedicks and Carleson for the Henon family, at the beginning of 1990's. Later, Mora and Viana demonstrated that a strange attractor is also persistent in generic one-parameter families of diffeomorphims on a surface which unfolds homoclinic tangency. This book is about the persistence of any number of strange attractors in saddle-focus connections. The coexistence and persistence of any number of strange attractors in a simple three-dimensional scenario are proved, as well as the fact that infinitely many of them exist simultaneously.
A heavily expanded edition of Joe Mellen's legendary, long out-of-print auto-trepanation memoir. A heavily expanded edition of Joe Mellen's legendary, long out-of-print auto-trepanation memoir, Bore Hole takes us deep into the dawning of the UK's psychedelic counter culture, and into a mind breaking free from the confines of a traditional English upbringing. Travelling to Morocco and Ibiza, then back to the first spring of swinging London, Joe Mellen discovers the pleasures of hashish, is captivated by the visionary intensity of LSD and, after meeting the Dutch psychedelic guru Bart Huges, attempts the ultimate head trip, the bore hole. As well as a selection of unseen archive photographs, this edition includes a new postscript, essays, appendices and a 1967 interview with Bart Huges.
Just 23 years ago Benoit Mandelbrot published his famous picture of the Mandelbrot set, but that picture has changed our view of the mathematical and physical universe. In this text, Mandelbrot offers 25 papers from the past 25 years, many related to the famous inkblot figure. Of historical interest are some early images of this fractal object produced with a crude dot-matrix printer. The text includes some items not previously published.
