Structural Stability And Morphogenesis

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Structural Stability And Morphogenesis

Author : Rene Thom
Publisher : CRC Press
Page : 404 pages
File Size : 46,6 Mb
Release : 2018-03-05
Category : Mathematics
ISBN : 9780429961571

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Structural Stability And Morphogenesis by Rene Thom Pdf

First Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.

Structural Stability and Morphogenesis

Author : René Thom
Publisher : Unknown
Page : 348 pages
File Size : 43,8 Mb
Release : 1976
Category : Biology
ISBN : 0805392793

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Structural Stability and Morphogenesis by René Thom Pdf

Structurelle et morphog[N.

Structural Stability in Physics

Author : G. Güttinger,H. Eikemeier
Publisher : Springer Science & Business Media
Page : 309 pages
File Size : 55,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642673634

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Structural Stability in Physics by G. Güttinger,H. Eikemeier Pdf

This volume is the record and product of two International Symposia on the Appli cation of Catastrophe Theory and Topological Concepts in Physics, held in May and December 1978 at the Institute for Information Sciences, University of TUbingen. The May Symposium centered around the conferral of an honorary doctorate upon Professor Rene Thom, Paris, by the Faculty of Physics of the University of TUbingen in recognition of his discovery of universal structure principles and the new di mension he has added to scientific knowledge by his pioneering work on structural stability and morphogenesis. Owing to the broad scope and rapid development of the field, the May Sympos,ium was followed in December by a second one on the same sub jects. The symposia, attended by more than 50 scientists, brought together mathe maticians, physicists, chemists and biologists to exchange ideas about the recent faSCinating impact of topological concepts on the physical sciences, and also to introduce young scientists to the field. The contributions, covering a wide spectrum, are summarized in the subsequent Introduction. The primary support of the Symposia was provided by the "Vereinigung der Freunde der Univertat TUbingen" (Association of the Benefactors of the University). We are particularly indebted to Dr. H. Doerner for his personal engagement and efficient help with the projects, both in his capacity as Secretary of the Association and as Administrative Director of the University.

Morphogenesis

Author : Paul Bourgine,Annick LESNE
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 47,5 Mb
Release : 2010-10-28
Category : Technology & Engineering
ISBN : 9783642131745

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Morphogenesis by Paul Bourgine,Annick LESNE Pdf

What are the relations between the shape of a system of cities and that of fish school? Which events should happen in a cell in order that it participates to one of the finger of our hands? How to interpret the shape of a sand dune? This collective book written for the non-specialist addresses these questions and more generally, the fundamental issue of the emergence of forms and patterns in physical and living systems. It is a single book gathering the different aspects of morphogenesis and approaches developed in different disciplines on shape and pattern formation. Relying on the seminal works of D’Arcy Thompson, Alan Turing and René Thom, it confronts major examples like plant growth and shape, intra-cellular organization, evolution of living forms or motifs generated by crystals. A book essential to understand universal principles at work in the shapes and patterns surrounding us but also to avoid spurious analogies.

Semio Physics

Author : René Thom
Publisher : Addison Wesley Publishing Company
Page : 298 pages
File Size : 53,8 Mb
Release : 1990
Category : Science
ISBN : UOM:39015018462286

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Semio Physics by René Thom Pdf

Structural Stability, the Theory of Catastrophes, and Applications in the Sciences

Author : P. Hilton
Publisher : Springer
Page : 415 pages
File Size : 42,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540382546

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Structural Stability, the Theory of Catastrophes, and Applications in the Sciences by P. Hilton Pdf

This is a progress report on an experimental program, begun a year ago, in the exploration of resonant furcations (= catastrophes) by analog simulation and direct observation - the macroscope program.

The Seduction of Curves

Author : Allan McRobie
Publisher : Princeton University Press
Page : 168 pages
File Size : 46,7 Mb
Release : 2017-09-19
Category : Art
ISBN : 9780691175331

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The Seduction of Curves by Allan McRobie Pdf

In this large-format book, lavishly illustrated in color throughout, Allan McRobie takes the reader on an alluring exploration of the beautiful curves that shape our world--from our bodies to Salvador Dalí's paintings and the space-time fabric of the universe itself. The book focuses on seven curves--the fold, cusp, swallowtail, and butterfly, plus the hyperbolic, elliptical, and parabolic "umbilics"--and describes the surprising origins of their taxonomy in the catastrophe theory of mathematician René Thom.

Chaos in Structural Mechanics

Author : Jan Awrejcewicz,Vadim Anatolevich Krys'ko
Publisher : Springer Science & Business Media
Page : 424 pages
File Size : 54,8 Mb
Release : 2009-11-11
Category : Technology & Engineering
ISBN : 9783540776765

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Chaos in Structural Mechanics by Jan Awrejcewicz,Vadim Anatolevich Krys'ko Pdf

This volume introduces new approaches to modeling strongly nonlinear behaviour of structural mechanical units: beams, plates and shells or composite systems. The text draws on bifurcation theory and chaos, emphasizing control and stability of objects and systems.

Contribution to Bifurcation Theory

Author : Yoram Schiffmann
Publisher : Unknown
Page : 864 pages
File Size : 50,7 Mb
Release : 1977
Category : Chemical kinetics
ISBN : OCLC:10543606

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Contribution to Bifurcation Theory by Yoram Schiffmann Pdf

Geometry in History

Author : S. G. Dani,Athanase Papadopoulos
Publisher : Springer Nature
Page : 759 pages
File Size : 52,9 Mb
Release : 2019-10-18
Category : Mathematics
ISBN : 9783030136093

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Geometry in History by S. G. Dani,Athanase Papadopoulos Pdf

This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty.

Differential Heterogenesis

Author : Alessandro Sarti,Giovanna Citti,David Piotrowski
Publisher : Springer Nature
Page : 222 pages
File Size : 53,5 Mb
Release : 2022-07-15
Category : Mathematics
ISBN : 9783030977979

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Differential Heterogenesis by Alessandro Sarti,Giovanna Citti,David Piotrowski Pdf

This book describes about unlike usual differential dynamics common in mathematical physics, heterogenesis is based on the assemblage of differential constraints that are different from point to point. The construction of differential assemblages will be introduced in the present study from the mathematical point of view, outlining the heterogeneity of the differential constraints and of the associated phase spaces, that are continuously changing in space and time. If homogeneous constraints well describe a form of swarm intelligence or crowd behaviour, it reduces dynamics to automatisms, by excluding any form of imaginative and creative aspect. With this study we aim to problematize the procedure of homogeneization that is dominant in life and social science and to outline the dynamical heterogeneity of life and its affective, semiotic, social, historical aspects. Particularly, the use of sub-Riemannian geometry instead of Riemannian one allows to introduce disjointed and autonomous areas in the virtual plane. Our purpose is to free up the dynamic becoming from any form of unitary and totalizing symmetry and to develop forms, action, thought by means of proliferation, juxtaposition, and disjunction devices. After stating the concept of differential heterogenesis with the language of contemporary mathematics, we will face the problem of the emergence of the semiotic function, recalling the limitation of classical approaches (Hjelmslev, Saussure, Husserl) and proposing a possible genesis of it from the heterogenetic flow previously defined. We consider the conditions under which this process can be polarized to constitute different planes of Content (C) and Expression (E), each one equipped with its own formed substances. A possible (but not unique) process of polarization is constructed by means of spectral analysis, that is introduced to individuate E/C planes and their evolution. The heterogenetic flow, solution of differential assemblages, gives rise to forms that are projected onto the planes, offering a first referring system for the flow, that constitutes a first degree of semiosis.

Glossary of Morphology

Author : Federico Vercellone,Salvatore Tedesco
Publisher : Springer Nature
Page : 482 pages
File Size : 42,5 Mb
Release : 2020-12-01
Category : Philosophy
ISBN : 9783030513245

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Glossary of Morphology by Federico Vercellone,Salvatore Tedesco Pdf

This book is a significant novelty in the scientific and editorial landscape. Morphology is both an ancient and a new discipline that rests on Goethe's heritage and re-forms it in the present through the concepts of form and image. The latter are to be understood as structural elements of a new cultural grammar able to make the late modern world intelligible. In particular, compared to the original Goethean project, but also to C.P. Snow's idea of unifying the “two cultures”, the fields of morphological culture that are the object of this glossary have profoundly changed. The ever-increasing importance of the image as a polysemic form has made the two concepts absolutely transitive, so to speak. This is concomitant with the emergence of a culture that revolves around the image, attracting the verbal logos into its orbit. Incidentally, even the hermeneutic relationship between past and present relies more and more on the image, causing deep changes in cultural environments. Form and image are not just bridging concepts, as in the field of ancient morphology, but real transitive concepts that define the state of a culture. From the Internet to smartphones, television, advertising, etc., we are witnessing – as Horst Bredekamp observes – an immense mass of images that fill our time and affect the most diverse areas of our culture. The ancient connection between science and art recalled by Goethe emerges with unusual evidence thanks to intersecting patterns and expressive forms that are sometimes shared by different forms of knowledge. Creating a glossary and a culture of these intersections is the task of morphology, which thus enters into the boundaries between aesthetics, art, design, advertising, and sciences (from mathematics to computer science, to physics, and to biology), in order to provide the founding elements of a grammar and a syntax of the image. The latter, in its formal quality, both expressive and symbolic, is a fundamental element in the unification of the various kinds of knowledge, which in turn come to be configured, in this regard, also as styles of vision. The glossary is subdivided into contiguous sections, within a complex framework of cross-references. In addition to the two curators, the book features the collaboration of a team of scholars from the individual disciplines appearing in the glossary.

Biological Robustness

Author : Marta Bertolaso,Silvia Caianiello,Emanuele Serrelli
Publisher : Springer
Page : 258 pages
File Size : 48,8 Mb
Release : 2019-01-04
Category : Philosophy
ISBN : 9783030011987

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Biological Robustness by Marta Bertolaso,Silvia Caianiello,Emanuele Serrelli Pdf

This volume reviews examples and notions of robustness at several levels of biological organization. It tackles many philosophical and conceptual issues and casts an outlook on the future challenges of robustness studies in the context of a practice-oriented philosophy of science. The focus of discussion is on concrete case studies. These highlight the necessity of a level-dependent description of robust biological behaviors.Experts from the neurosciences, biochemistry, ecology, biology, and the history and the philosophy of life sciences provide a multiplex perspective on the topic. Contributions span from protein folding, to cell-level robustness, to organismal and developmental robustness, to sensorimotor systems, up to the robustness of ecological systems.Several chapters detail neurobiological case-studies. The brain, the poster child of plasticity in biology, offers multiple examples of robustness. Neurobiology explores the importance of temporal organization and multiscalarity in making this robustness-with-plasticity possible. The discussion also includes structures well beyond the brain, such as muscles and the complex feedback loops involved in the peculiar robustness of music perception. Overall, the volume grounds general reflections upon concrete case studies, opening to all the life sciences but also to non-biological and bio-inspired fields such as post-modern engineering. It will appeal to researchers, students, as well as non-expert readers.

Encyclopaedia of Mathematics

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
Page : 549 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401512350

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Encyclopaedia of Mathematics by Michiel Hazewinkel Pdf

This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.