Nonlinear dynamics in atmospheric chemistry rate equations

Journal of Atmospheric Chemistry

Volumn 29, Issue 1, 1998, Pages 1-16

  Krol, M C ^a   Poppe, D ^b  

^a UTRECHT UNIVERSITY   (Netherlands)

^b FORSCHUNGSZENTRUM JÜLICH   (Germany)

Author keywords

Autocatalysis; Bifurcation; Oscillation; Ozone

Indexed keywords

CARBON MONOXIDE; NITRIC OXIDE; OZONE;

ATMOSPHERIC CHEMISTRY; ATMOSPHERIC DYNAMICS; RATE EQUATION;

ARTICLE; DYNAMICS; OSCILLATION; PHOTOCHEMISTRY; TROPOSPHERE;

EID: 0031884532     PISSN: 01677764     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1005843430146     Document Type: Article

References (21)

1. 2 photostationary state in tropospheric chemistry, Can. J. Chem. 61, 983-992.
2. Doedel, E. J., 1980: Auto: a program for the automatic bifurcation analysis of autonomous systems, in Proc. 10th Manitoba Conf. on Numerical Math. Comput. vol. 30, pp. 265-274.
3. Gear, C. W., 1971: Numerical Initial Value Problems in Ordinary Differential Equations, Prentice-Hall.
4. Gray, P. and Scott, S. K., 1990: Chemical Oscillations and Instabilities, Non-Linear Chemical Kinetics, Clarendon, Oxford.
5. Hess, P. G. and Madronich, S., 1997: On tropospheric chemical oscillations, J.Geophys. Res. 102, 15,949-15,965.
6. x levels and multiple photochemical steady states, J. Atmos. Chem. 3, 321-340.
7. x regimes, J. Geophys. Res. 96, 20,721-20,733.
8. x tropospheric photochemistry, J. Geophys. Res. 99, 16,831-16,838.
9. Krol, M. C., 1995a: Comment on 'Multiple steady states in atmospheric chemistry' by Richard W. Stewart, J.Geophys. Res. 100, 11,699-11,702.
10. Krol, M. C., 1995b: Oscillating solutions in a one-dimensional tropospheric chemistry model, in Proc. American Geophysical Union Fall Meeting, p. F89, American Geophysical Union.
11. Madronich, S. and Hess, P., 1994: The oxidizing capacity of the troposphere and its changes, in G. Angeletti and G. Restelli (eds), Proc. Sixth European Symposium on Physico-Chemical Behaviour of Atmospheric Pollutants, pp. 5-13.
12. Poppe, D. and Lustfeld, H., 1996: Nonlinearities in the gas phase chemistry of the troposphere: Oscillating concentrations in a simplified mechanism, J.Geophys. Res. 101, 14,373-14,380.
13. Prather, M. J., McElroy, M. B., Wolfsy, S. C., and Logan, J. A., 1979: Stratospheric chemistry: Multiple solutions, Geophys. Res. Lett. 6, 163-164.
14. Seydel, R., 1988: From Equilibrium to Chaos, Practical Bifurcation and Stability Analysis, Elsevier, Amsterdam.
15. Stewart, R. W., 1993: Multiple steady states in atmospheric chemistry, J.Geophys. Res. 98, 20,601-20,611.
16. x transition in a simplified tropospheric photochemical model, J. Geophys. Res. 100, 8929-8943.
17. Stockwell, R. W., Middleton, P., Chang, J. S., and Tang, X., 1990: The second generation regional acid deposition model chemical mechanism for regional air quality modeling, J.Geophys. Res. 95, 16,343-16,367.
18. Strogatz, S. H., 1994: Nonlinear Dynamics and Chaos: with Applications to Physics, Biology, Chemistry, and Engineering, Addison-Wesley, New York.
19. Verver, J. G., 1994: Gauss-seidel iteration for stiff ODEs from chemical kinetics, SIAM J. Sci. Comput. 15, 1243-1250.
20. White, W. H. and Dietz, D., 1984: Does the photochemistry of the troposphere admit more than one steady state?, Nature 309, 242-244.
21. x gas phase chemistry, J. Atmos. Chem. 17, 141-155.