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A Mechanism for Spurious Solutions of Nonlinear Boundary Value Problems

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Stochastic Phenomena and Chaotic Behaviour in Complex Systems

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

Abstract

Typically numerical approximation schemes for many nonlinear boundary value problems generate spurious solutions. By developing a dynamical system approach a mechanism is presented which is able to explain a certain class of such solutions. In essence the spurious solutions here are a consequence of structural changes such as bifurcations in the homoclinic structure of the associated dynamical system.

Research was supported by “Stiftung Volkswagenwerk”

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Author information

Authors and Affiliations

  1. Forschungsschwerpunkt “Dynamische Systeme”, Universität Bremen, Bremen 33, D-2800, Fed Rep. of Germany

    H.-O. Peitgen

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  1. H.-O. Peitgen
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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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Peitgen, HO. (1984). A Mechanism for Spurious Solutions of Nonlinear Boundary Value Problems. 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_6

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  • DOI: https://doi.org/10.1007/978-3-642-69591-9_6

  • 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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