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Designing and Excluding Periodicity

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Non-Equilibrium Dynamics in Chemical Systems

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 27))

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Abstract

From the investigations of HANUSSE[1], TYSON and LIGHT [2] and PÓTA [3] it is known that in two-component bimolecular systems there is only one oscillator: the Volterra-Lotka model. The following question has arisen: is it also true that this model is the unique simplest one among all the models with the same linearized form around their own stationary state? The answer to this question being yes does add something new to the result cited above.

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References

  1. P. Hanusse: C.R.Acad.Sci.Ser. C274, 1245 (1972)

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  2. J.J. Tyson and J.C. Light: J.Chem.Phys. 59, 4164 (1973)

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  3. Gy. Póta: J.Chem.Phys. 78 4164 (1973)

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  4. Z. Noszticzius, H. Farkas and Z.A. Schelly: J.Chem.Phys. 80, 6062 (1983)

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  5. J. Tóth and Vera Hárs /in preparation 1984/

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  6. J. Tóth: “Bendixon Type Theorems with Applications”, in Coll.Math.Soc. J.Bolyai /in preparation/.

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Author information

Authors and Affiliations

  1. Computer and Automation Institute, Hungarian Academy of Sciences, Kende u. 13-17, H-1502, Budapest, Hungary

    J. Tóth

  2. Central Research Institute for Physics, Hungarian Academy of Sciences, P.O.B. 49, H-1525, Budapest 114, Hungary

    P. Érdi

  3. CHINOIN Chemical and Pharmaceutical Works Ltd., Tó u. 1-5, H-1045, Budapest IV, Hungary

    Vera Hárs

Authors
  1. J. Tóth
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  2. P. Érdi
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  3. Vera Hárs
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Editor information

Editors and Affiliations

  1. Centre de Recherche Paul Pascal, Domaine Universitaire, F-33405, Talence Cédex, France

    Christian Vidal  & Adolphe Pacault  & 

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© 1984 Springer-Verlag Berlin Heidelberg

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Tóth, J., Érdi, P., Hárs, V. (1984). Designing and Excluding Periodicity. In: Vidal, C., Pacault, A. (eds) Non-Equilibrium Dynamics in Chemical Systems. Springer Series in Synergetics, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70196-2_58

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  • DOI: https://doi.org/10.1007/978-3-642-70196-2_58

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-70198-6

  • Online ISBN: 978-3-642-70196-2

  • eBook Packages: Springer Book Archive

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