| Autor: |
Araki, H., Beig, R., Ehlers, J., Frisch, U., Hepp, K., Jaffe, R. L., Kippenhahn, R., Weidenmüller, H. A., Wess, J., Zittartz, J., Begilböck, W., Parisi, Jürgen, Müller, Stefan C., Zimmermann, Walter, Lustfeld, H. |
| Zdroj: |
Perspective Look at Nonlinear Media; 1998, p292-304, 13p |
| Abstrakt: |
In this paper we investigate chemical reaction equations of pollutants in the troposphere and compare it with a simple model. We show that time averages are possible, in the model they represent a very good approximation. The averaged equations are of a special polynomial type, thus the formalism of Groebner bases is one possibility to detect all fixed points. Of particular interest are fixed points in the physical regime. Varying the source strengths — they serve as control parameters — bifurcations originating from these fixed points are expected. We have tested this in the model: The formalism of Groebner bases let us find 12 fixed points. However, in the chosen range of the control parameters there exists only one physically important fixed point. This can become unstable undergoing a Hopf bifurcation. Beyond the instability strong variations of the pollutant concentrations occur. Use of the center manifold theorem can reduce the dimension of the problem considerably. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Supplemental Index |
| Externí odkaz: |
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