Hostname: page-component-7c8c6479df-xxrs7 Total loading time: 0 Render date: 2024-03-28T18:01:39.576Z Has data issue: false hasContentIssue false

The great oxidation of Earth's atmosphere

Published online by Cambridge University Press:  21 October 2010

Zdzislaw E. Musielak
Affiliation:
Department of Physics, University of Texas at Arlington, Arlington, TX 76019, USA email: zmusielak@uta.edu, cuntz@uta.edu
Manfred Cuntz
Affiliation:
Department of Physics, University of Texas at Arlington, Arlington, TX 76019, USA email: zmusielak@uta.edu, cuntz@uta.edu
Dipanjan Roy
Affiliation:
Institut des Sciences du Mouvement UMR CNRS 6233, Université de la Méditerranée, 13288 Marseille, France email: dipanjan.roy@etumel.univmed.fr
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A simplified model of the Earth's atmosphere consisting of three nonlinear differential equations with a driving force was developed by Goldblatt et al. (2006). They found a steady-state solution that exhibits bistability and identified its upper value with the great oxidation of the Earth's atmosphere. Noting that the driving force in their study was a step function, it is the main goal of this paper to investigate the stability of the model by considering two different more realistic driving forces. The stability analysis is performed by using Lyapunov exponents. Our results show that the model remains stable and it does not exhibit any chaotic behavior.

Type
Contributed Papers
Copyright
Copyright © International Astronomical Union 2010

References

Badzey, R. L. & Mohanty, P. 2005, Nature 437, 995Google Scholar
Catling, D. C., Zahnle, K. J., & McKay, C. P. 2001, Science 293, 839CrossRefGoogle Scholar
Cuntz, M., Roy, D., & Musielak, Z. E. 2009, ApJ (Letters) 706, L178CrossRefGoogle Scholar
Goldblatt, C., Lenton, T. M., & Watson, A. J. 2006, Nature 443, 683Google Scholar
Hilborn, R. C. 1994, Chaos and Nonlinear Dynamics, (Oxford: Oxford University Press)Google Scholar
Kasting, J. F. 2006, Nature 443, 643Google Scholar
Wu, X., Wang, J., Lu, J., & Iu, H. H. C. 2007, Chaos, Solitons & Fractals 32, 1483Google Scholar