Spirals and Vortices


Book Description

This richly illustrated book explores the fascinating and ubiquitous occurrence of spirals and vortices in human culture and in nature. Spiral forms have been used as elements in the arts for thousands of years, whereas their role in nature and science – from DNA and sea shells to galaxies – is still a topic of investigation in numerous fields. Following an introduction to the cultural history of spiral forms, the book presents contributions from leading experts, who describe the origins, mechanisms and dynamics of spirals and vortices in their special fields. As a whole the book provides a valuable source of information, while also taking the reader on an aesthetic and scientific journey through the world of spiral forms.




Rossby Vortices, Spiral Structures, Solitons


Book Description

This book can be looked upon in more ways than one. On the one hand, it describes strikingly interesting and lucid hydrodynamic experiments done in the style of the "good old days" when the physicist needed little more than a piece of string and some sealing wax. On the other hand, it demonstrates how a profound physical analogy can help to get a synoptic view on a broad range of nonlinear phenomena involving self-organization of vortical structures in planetary atmo spheres and oceans, in galaxies and in plasmas. In particular, this approach has elucidated the nature and the mechanism of such grand phenomena as the Great of galaxies. A number of our Red Spot vortex on Jupiter and the spiral arms predictions concerning the dynamics of spiral galaxies are now being confirmed by astronomical observations stimulated by our experiments. This book is based on the material most of which was accumulated during 1981-88 in close cooperation with our colleagues, experimenters from the Plasma Physics Department of the Kurchatov Atomic Energy Institute (S. V. Antipov, A. S. Trubnikov, AYu. Rylov, AV. Khutoretsky) and astrophysics theoreticians from the Astronomical Council of the USSR Academy of Sciences (AM. Frid man) and from the Volgograd State University (AG. Morozov). To all of them we wish to express our gratitude. Whenever we speak of "our experiments", the participation of the entire team is implied.




Spirals and Vortices


Book Description

This richly illustrated book explores the fascinating and ubiquitous occurrence of spirals and vortices in human culture and in nature. Spiral forms have been used as elements in the arts for thousands of years, whereas their role in nature and science - from DNA and sea shells to galaxies - is still a topic of investigation in numerous fields. Following an introduction to the cultural history of spiral forms, the book presents contributions from leading experts, who describe the origins, mechanisms and dynamics of spirals and vortices in their special fields. As a whole the book provides a valuable source of information, while also taking the reader on an aesthetic and scientific journey through the world of spiral forms.




Vortices and Spirals, Unlocking the Mystery of Our Dynamic Relationship with Mother Earth


Book Description

We have an incredibly dynamic and loving relationship with Mother Earth. When we love, give and heal we co-create a new birth, a vortex, along with her. In Vortices and Spirals you will learn about this beautiful union, how you can nurture it to enhance your spiritual practice or become a better healer. In the journey you will develop a much deeper understanding of Mother Earth and come to see why the environmental crisis is also a crisis of our hearts.




The Magician's Workbook


Book Description

Contains everything that beginners need to start their esoteric training The Magician's Workbook has a single purpose: to present a graded and integrated series of practical exercises designed to teach the essentials of ritual magic. It contains no history or theory-just forty exercises that anyone can do without prior training, special tools, or costly materials. The content ranges from simple mental exercises to complete rituals that form templates for future work in Western magic. These exercises do not merely teach-they transform. When practiced regularly, they cause changes in the body, brain, perceptions, emotions, and the will-changes necessary for the successful working of magic in any of its ancient or modern traditions. A complete basic training manual for serious beginners who want to start performing ritual magic, rather than just reading about it Presents a progressive, forty-week schedule of daily study that fully integrates inner mental conditioning with external movements, gestures, and words Enables students to go on to study the Golden Dawn system in greater depth, or move forward with confidence to any other form of Western magic




Vortex Flow


Book Description

Vortex Flow presents a detailed description of the natural phenomena of vortices, fundamental concepts, and applications of the vortex flows. Numerous figures and examples illustrate concepts presented in this interesting book for mechanical, chemical, powder, and aeronautical engineers and engineering students.




Dancing with Water


Book Description




Spirals the Pattern of Existence


Book Description

In mathematics, a spiral is a curve which emanates from a central point, getting progressively farther away as it revolves around the point. Spirals are everywhere and involve all human thought and physical structure. From cutting edge quantum physics to ancient architecture here you will discover the role that Spirals play in our lives. The spiral is the age-old intuitive symbol of spiritual development and our identity with the Universe. It is found in cultures the world over and reflected in shamanism, serpent cults, dragon lore, geomancy, magic, mysticism, ritual art and dance throughout history.




The Symmetry Perspective


Book Description

The framework of ‘symmetry’ provides an important route between the abstract theory and experimental observations. The book applies symmetry methods to dynamical systems, focusing on bifurcation and chaos theory. Its exposition is organized around a wide variety of relevant applications. From the reviews: "[The] rich collection of examples makes the book...extremely useful for motivation and for spreading the ideas to a large Community."--MATHEMATICAL REVIEWS




Singularities and Groups in Bifurcation Theory


Book Description

Bifurcation theory studies how the structure of solutions to equations changes as parameters are varied. The nature of these changes depends both on the number of parameters and on the symmetries of the equations. Volume I discusses how singularity-theoretic techniques aid the understanding of transitions in multiparameter systems. This volume focuses on bifurcation problems with symmetry and shows how group-theoretic techniques aid the understanding of transitions in symmetric systems. Four broad topics are covered: group theory and steady-state bifurcation, equicariant singularity theory, Hopf bifurcation with symmetry, and mode interactions. The opening chapter provides an introduction to these subjects and motivates the study of systems with symmetry. Detailed case studies illustrate how group-theoretic methods can be used to analyze specific problems arising in applications.