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The great oxidation of Earth's atmosphere

Published online by Cambridge University Press:  21 October 2010

Zdzislaw E. Musielak ,
Manfred Cuntz  and
Dipanjan Roy
Zdzislaw E. Musielak
Affiliation:
Department of Physics, University of Texas at Arlington, Arlington, TX 76019, USA email: [email protected], [email protected]
Manfred Cuntz
Affiliation:
Department of Physics, University of Texas at Arlington, Arlington, TX 76019, USA email: [email protected], [email protected]
Dipanjan Roy
Affiliation:
Institut des Sciences du Mouvement UMR CNRS 6233, Université de la Méditerranée, 13288 Marseille, France email: [email protected]
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Abstract

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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
Information
Proceedings of the International Astronomical Union , Volume 5 , Highlights H15: Highlights of Astronomy , November 2009 , pp. 680 - 681
Copyright
Copyright © International Astronomical Union 2010

References

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