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Journal of Mathematical Chemistry

, Volume 52, Issue 1, pp 93–114 | Cite as

Quadratic first integrals of kinetic differential equations

  • Ilona Nagy
  • János Tóth
Original Paper

Abstract

Classes of kinetic differential equations are delineated which do have a quadratic first integral, and classes which can not have one. Example reactions corresponding to the obtained kinetic differential equations are shown, and a few figures showing the trajectories of the corresponding systems are also included. Connections to other areas are mentioned and unsolved problems collected. The new results are theoretical, although computational tools are heavily used. Applications from biology and combustion theory will come later.

Keywords

First integral Kinetic differential equation Computational biology and chemistry 

Notes

Acknowledgments

The present work has partially been supported by the European Science Foundation Research Networking Programme: Functional Dynamics in Complex Chemical and Biological Systems, by the Hungarian National Scientific Foundation, No. 84060, and by the COST Action CM901: Detailed Chemical Kinetic Models for Cleaner Combustion. This work is connected to the scientific program of the “Development of quality-oriented and harmonized R+D+I strategy and functional model at BME” project. This project is supported by the New Széchenyi Plan (Project ID: TÁMOP-4.2.1/B-09/1/KMR-2010-0002).

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department of Mathematical AnalysisBudapest University of Technology and EconomicsBudapestHungary
  2. 2.Laboratory for Chemical KineticsEötvös UniversityBudapest Hungary

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