Invariants of kinetic differential equations

A. Halmschlager, Budapest University of Technology and Economics, Budapest , Hungary
L. Szenthe, Budapest University of Technology and Economics, Budapest , Hungary
J. Tóth, Budapest University of Technology and Economics, Budapest , Hungary

E. J. Qualitative Theory of Diff. Equ., Proc. 7'th Coll. Qualitative Theory of Diff. Equ., No. 14. (2004), pp. 1-14.

Communicated by L. Hatvani. Received on 2003-09-30
Appeared on 2004-08-31

Abstract: Polynomial differential equations showing chaotic behavior are investigated using polynomial invariants of the equations. This tool is more effective than the direct method for proving statements like the one: the Lorenz equation cannot be transformed into an equation which would be a mass action type kinetic model of a chemical reaction.


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