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  • 1975-1979  (4)
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  • 1
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    Unknown
    Dordrecht : Periodicals Archive Online (PAO)
    Synthese. 36:3 (1977:nov.) 315 
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Synthese 〈Dordrecht〉 36 (1977), S. 315-351 
    ISSN: 1573-0964
    Source: Springer Online Journal Archives 1860-2000
    Topics: Natural Sciences in General , Philosophy
    Notes: Abstract The world I grew up in believed that change and development in life are part of a continuous process of cause and effect, minutely and patiently sustained throughout the millenniums. With the exception of the initial act of creation ..., the evolution of life on earth was considered to be a slow, steady and ultimately demonstrable process. No sooner did I begin to read history, however, than I began to have my doubts. Human society and living beings, it seemed to me, ought to be excluded from so calm and rational a view. The whole of human development, far from having been a product of steady evolution, seemed subject to only partially explicable and almost invariably violent mutations. Entire cultures and groups of individuals appeared imprisoned for centuries in a static shape which they endured with long-suffering indifference, and then suddenly, for no demonstrable cause, became susceptible to drastic changes and wild surges of development. It was as if the movement of life throughout the ages was not a Darwinian caterpillar but a startled kangaroo, going out towards the future in a series of unpredictable hops, stops, skips and bounds. Indeed, when I came to study physics I had a feeling that the modern concept of energy could perhaps throw more light on the process than any of the more conventional approaches to the subject. It seemed that species, society and individuals behaved more like thunder-clouds than scrubbed, neatly clothed and well-behaved children of reason. Throughout the ages life appeared to build up great invisible charges, like clouds and earth of electricity, until suddenly in a sultry hour the spirit moved, the wind rose, a drop of rain fell acid in the dust, fire flared in the nerve, and drums rolled to produce what we call thunder and lightening in the heavens and chance and change in human society and personality. LAURENS VAN DER POST, The Lost World of the Kalahari
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Zeitschrift für angewandte Mathematik und Physik 26 (1975), S. 581-603 
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Zusammenfassung Verzweigungstheorien für die Instabilität sich allmählich entwickelnder Systeme wurden in verschiedenen Disziplinen entwickelt; es wird hier der erste Schritt zu einer erwünschten Vereinheitlichung getan. Einleitend wird ein moderner Abriss der allgemeinen Verzweigungstheorie diskreter Systeme, wie sie von den Verfassern entwickelt wurde, dargestellt. Einige neue Elemente sind die Einführung von ‘Hauptimperfektionen’ und die Beschreibung halbsymmetrischer Verzweigungspunkte. Diese Theorie, verbunden mit der für eine quantitative Analyse idealen Störungsrechnung, ergänzt die weitreichende qualitative Katastrophentheorie von René Thom, die eine tiefschürfende topologische Klassifizierung der Instabilitätserscheinungen bietet. Aus diesem Grunde wird hier die Wechselbeziehung der zwei Theorien eingehend dargestellt. Anschliessend wird eine Uebersicht einiger Anwendungsgebiete geboten—vom klassischem Feld der Hydrodynamik über die Thermodynamik, Kristallographie und Kosmologie zu den neueren Bereichen der Biologie und Psychologie.
    Notes: Abstract Bifurcation theories for the instability of slowly evolving systems have been developed in various disciplines, and a first step is here taken towards some desirable unification. A modern account of the authors' general branching theory for discrete systems is first presented, some new features being the introduction of principal imperfections and the delineation of the important semi-symmetric points of bifurcation. This theory, embedded in a perturbation approach ideal for quantitative analysis, is complementary to the far-reaching qualitative catastrophe theory of René Thom which offers a profound topological classification of instability phenomena. For this reason, we present here a detailed correlation of the two theories. Also presented in the paper is a survey of some fields of application ranging from classical fields such as hydrodynamics, through thermodynamics, crystallography and cosmology, to the newer domains of biology and psychology.
    Type of Medium: Electronic Resource
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  • 4
    Publication Date: 1975-09-01
    Print ISSN: 0044-2275
    Electronic ISSN: 1420-9039
    Topics: Mathematics , Physics
    Published by Springer
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