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Selbstähnlichkeit und Chaos in der Natur

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Iteration, that is the endless repetition of some Fixed rule or construction procedure, leads, in many situations, to self-similar structures. In other cases, iteration generates chaos. Both phenomena, self-similarity and chaotic (Le. unpredictable) behaviour, piay an important role in contemporary physics and science in general, especially in the analysis of nonlinear systems – including those in acoustics.


Iteration, d. h. die endlose Wiederholung einer festen Regel oder Konstruktionsvorschrift, führt in vielen Situationen zu selbstähnlichen Strukturen. In anderen Fällen erzeugt Iteration Chaos. Beide Phänomene, sowohl Selbstähnlichkeit wie chaotisches (d. h. unvorhersagbares Verhalten), spielen heute in der Physik und in den Naturwissenschaften allgemein eine große Rolle, vor allem bei der Analyse nichtlinearer Systeme – nicht zuletzt in der Akustik.


L'itération c'est-a-dire la répétition à l'infini d'une régie fixe ou d'une prescription constructive, conduit dans bien des cas à des structures auto-similaires. Dans d'autres cas, l'itération engendrera le chaos. Les deux phénomènes, l'auto-similitude comme le comportement chaotique c'est-à-dire imprévisible, jouent un rôle important dans la physique contemporaine et même dans les autres sciences de la nature, mais plus spécialement dans l'analyse des systèmes non-linéaires, y compris en acoustique.
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Document Type: Research Article

Publication date: February 1, 1991

More about this publication?
  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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