Irregular oscillations in a realistic abstract quadratic mass action system
KD Willamowski, OE Rössler - Zeitschrift für Naturforschung A, 1980 - degruyter.com
KD Willamowski, OE Rössler
Zeitschrift für Naturforschung A, 1980•degruyter.com… A recently described three-variable quadratic mass action system with (numerically)
chaotic behavior [8] involved irreversible reactions and therefore was not chemically and
thermodynamically realistic. It was of interest to check whether a related version, fulfilling
the thermodynamic contraints imposed on realistic abstract reaction systems, still shows the
same kind of behavior. An investigation into the mathematical properties of the original
version of … It is known that realistic open two-variable quadratic mass action systems can …
chaotic behavior [8] involved irreversible reactions and therefore was not chemically and
thermodynamically realistic. It was of interest to check whether a related version, fulfilling
the thermodynamic contraints imposed on realistic abstract reaction systems, still shows the
same kind of behavior. An investigation into the mathematical properties of the original
version of … It is known that realistic open two-variable quadratic mass action systems can …
Abstract
An open three-variable mass action kinetics is presented which exhibits chaotic behavior under numerical simulation. The elementary reactions of this system are at most of second order and satisfy the requirements of thermodynamics as long as the system is closed.
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