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Dynamic Patterns in Interacting Chemical Cells and Effects of External Periodic Forcing

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Selforganization by Nonlinear Irreversible Processes

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 33))

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Abstract

Chemical reactions with nonlinear kinetics serve as model systems for the study of nonlinear dynamics /1/. Periodic, quasiperiodic and chaotic oscillations are observed in a flow-through well-stirred reaction cell /2/. A large number of dynamic systems are modelled as a set of oscillating units with mutual interaction. The interaction is one-directional in a special case of periodically forced systems. Well-stirred flow-through reaction cells with an oscillating chemical reaction and mutual mass exchange and/or external concentration periodic forcing serve as a convenient model system /3–6/ with a number of analogies, for example, to biological cell structures. The Belousov-Zhabotinsky reaction /7/ is most often used as a source of oscillations in a single reaction cell.

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References

  1. C. Vidal, A. Pacault (Eds.): Nonlinear Phenomena in Chemical Dynamics (Springer, Berlin Heidelberg New York 1981)

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  2. H.L. Swinney, J.C. Roux: Non-equilibrium Dynamics in Chemical Systems (Ed.: C. Vidal, A. Pacault) (Springer, Berlin Heidelberg New York 1984)

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  6. M. Dolnik, I. Schreiber, M. Marek: Phys.Lett. 100A, 316 (1984)

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  7. R.J. Field, M. Burger (Ed.): Oscillations and Travelling Waves in Chemical Systems (Wiley, New York 1985)

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Author information

Authors and Affiliations

  1. Department of Chemical Engineering, Prague Institute of Chemical Technology, CS-166 28, Prague, Czechoslovakia

    M. Marek, M. Dolnik & I. Schreiber

Authors
  1. M. Marek
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  2. M. Dolnik
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  3. I. Schreiber
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Editor information

Editors and Affiliations

  1. Sektion Physik, Humboldt-Universität Berlin, Invalidenstraße 42, DDR-1040, Berlin, Germany

    Werner Ebeling

  2. Sektion Physik, Wilhelm-Pieck-Universität, Universitätsplatz 3, DDR-2500, Rostock, Germany

    Heinz Ulbricht

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© 1986 Springer-Verlag Berlin Heidelberg

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Marek, M., Dolnik, M., Schreiber, I. (1986). Dynamic Patterns in Interacting Chemical Cells and Effects of External Periodic Forcing. In: Ebeling, W., Ulbricht, H. (eds) Selforganization by Nonlinear Irreversible Processes. Springer Series in Synergetics, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71004-9_17

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  • DOI: https://doi.org/10.1007/978-3-642-71004-9_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-71006-3

  • Online ISBN: 978-3-642-71004-9

  • eBook Packages: Springer Book Archive

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