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CANDYS/QA — A Software System for Qualitative Analysis of the Behaviour of the Solutions of Nonlinear Dynamical Systems

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Systems Analysis and Simulation I

Part of the book series: Advances in Simulation ((ADVS.SIMULATION,volume 1))

Abstract

Many processes in physics, chemistry, and biology are described by models of ordinary differential equations or difference equations. The investigation of the behaviour of specific solutions of such models in dependence on the model parameters is the main task of qualitative analysis. In general, nonlinear dynamical systems cannot be solved analytically, therefore a lot of numerical methods have been developed by several authors to study bifurcation phenomena in ordinary differential equations [1,2,3]. The present paper is concerned with the description of a software system for the numerical analysis of the qualitative behaviour of evolution equations.

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References

  1. Chibnik, A. I., E. E. Schnol: Programs for qualitative analysis of differential equations (in Russian). Preprint 1982.

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  2. Doedel, E.J., J. P. Kernevez: Software for Continuation Problems in Ordinary Differential Equations with Application. Preprint 1985.

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  3. Kubiček, M., M. Marek: Computational Methods in Bifurcation Theory and Dissipative Structures. Springer-Ver1ag, New York 1983.

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  4. Mittelmann, H. D., H. Weber: In: Bifurcation Problems and their Numerical Solution (Eds.: Mittelmann, H. D., H. Weber) Birkhaeuser-Verlag, Stuttgart 1980.

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  5. Poenisch, G.: Beitr. Numer. Math. 9 (1981)147.

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  6. Poenisch, G.: Computing 35(1985)277.

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Author information

Authors and Affiliations

  1. Academy of Sciences, Central Institute for Cybernetics and Information Processes, Kurstrasse 33, Berlin, 1086, Germany

    U. Feudel

Authors
  1. W. Jansen
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  2. U. Feudel
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Editor information

Editors and Affiliations

  1. Akademie der Wissenschaften der DDR, Zentralinstitut für Kybernetik und Informationsprozesse, Berlin, GDR

    Achim Sydow

  2. Computer Engineering Division, National Technical University of Athens, Athens, Greece

    Spyros G. Tzafestas

  3. Department of Computer Science, Rutgers University, New Brunswick, NJ, USA

    Robert Vichnevetsky

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© 1988 Akademie-Verlag Berlin

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Jansen, W., Feudel, U. (1988). CANDYS/QA — A Software System for Qualitative Analysis of the Behaviour of the Solutions of Nonlinear Dynamical Systems. In: Sydow, A., Tzafestas, S.G., Vichnevetsky, R. (eds) Systems Analysis and Simulation I. Advances in Simulation, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-6389-7_7

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  • DOI: https://doi.org/10.1007/978-1-4684-6389-7_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97091-2

  • Online ISBN: 978-1-4684-6389-7

  • eBook Packages: Springer Book Archive

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