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Random Phenomena in Nonlinear Systems in Connection with the Volterra Approach

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Book cover Stochastic Phenomena and Chaotic Behaviour in Complex Systems

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 21))

Abstract

EXPONENTIAL CHAINS are a base for modelling growth processes, they include the HYPERCYCLE CONCEPT, The robustness of EXPONENTIAL CHAINS under amplitude bounded stochastic influences is studied analytically, by computer simulation and with imbedding into stochastic differential equations of Ito type. For the EVOLON model of growth processes probability distributions for different kinds of stochastic disturbances are studied.

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References

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Author information

Authors and Affiliations

  1. Institute for Cybernetics and Information Processes, Academy of Sciences GDR, Kurstraße 33, Berlin, DDR-1086, German Democratic Republic

    K. F. Albrecht

  2. Section of Physics, Humboldt-University, Unter den Linden 6, Berlin, DDR-1086, German Democratic Republic

    V. Chetverikov & W. Ebeling

  3. Institute for Mathematics, Academy of Sciences GDR, Mohrenstraße 39, Berlin, DDR-1086, German Democratic Republic

    R. Funke

  4. Institute for Geography and Geoecology, Academy of Sciences GDR, Rudower Chaussee 5, Berlin-Adlershof, DDR-1199, German Democratic Republic

    W. Mende

  5. Scientific Department Mathematics/Cybernetics, Academy of Sciences GDR, Rudower Chaussee 5, Berlin-Adlershof, DDR-1199, German Democratic Republic

    M. Peschel

Authors
  1. K. F. Albrecht
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  2. V. Chetverikov
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  3. W. Ebeling
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  4. R. Funke
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  5. W. Mende
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  6. M. Peschel
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Editor information

Editors and Affiliations

  1. Institut für Theoretische Chemie und Strahlenchemie, Universität Wien, Währinger Straße 17, Wien, A-1090, Austria

    Peter Schuster

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© 1984 Springer-Verlag Berlin Heidelberg

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Albrecht, K.F., Chetverikov, V., Ebeling, W., Funke, R., Mende, W., Peschel, M. (1984). Random Phenomena in Nonlinear Systems in Connection with the Volterra Approach. In: Schuster, P. (eds) Stochastic Phenomena and Chaotic Behaviour in Complex Systems. Springer Series in Synergetics, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69591-9_21

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  • DOI: https://doi.org/10.1007/978-3-642-69591-9_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-69593-3

  • Online ISBN: 978-3-642-69591-9

  • eBook Packages: Springer Book Archive

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