Designing and Excluding Periodicity

  • J. Tóth
  • P. Érdi
  • Vera Hárs
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 27)


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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    Z. Noszticzius, H. Farkas and Z.A. Schelly: J.Chem.Phys. 80, 6062 (1983)MathSciNetADSCrossRefGoogle Scholar
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    J. Tóth and Vera Hárs /in preparation 1984/Google Scholar
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    J. Tóth: “Bendixon Type Theorems with Applications”, in Coll.Math.Soc. J.Bolyai /in preparation/.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • J. Tóth
    • 1
  • P. Érdi
    • 2
  • Vera Hárs
    • 3
  1. 1.Computer and Automation InstituteHungarian Academy of SciencesBudapestHungary
  2. 2.Central Research Institute for PhysicsHungarian Academy of SciencesBudapest 114Hungary
  3. 3.CHINOIN Chemical and Pharmaceutical Works Ltd.Budapest IVHungary

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