Abstract
The inherent nonlinearity of reasonable models for the Earth’s climatic system suggests the relevance of bifurcation studies to the problem of ice ages. Exchanges of stability between equilibria, periodic and quasiperiodic solutions are possible explanations of different features in the paleoclimatic record.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bhattacharya, K.: 1979 “A Study of Almost-Intransitivity as a Possible Cause of Terrestrial Climate Changes,” Ph.D. Thesis, submitted to the Physics Department, Columbia University, New York.
Bhattacharya, K., and Ghil, M: 1978, “An Energy-Balance Model with Multiply-Periodic and Quasi-Chaotic Free Oscillations,” in: Evolution of Planetary Atmospheres and Climatology of the Earth, Centre National d’Etudes Spatiales, Toulouse, France, pp. 299–310.
Ghil, M.: 1976, “Climate Stability for a Sellers-Type Model,” J. Atmos. Sci., 33, pp. 3–20, reviewed in Math. Rev. 54, Aug. 1977, No. 4568.
Ghil, M., and Bhattacharya, K.: 1979, “An Energy-Balance Model of Glaciation Cycles,” to appear in: A Review of Climate Models, W. L. Gates, Ed., GARP Publication;.Series, World Meteorological Organization/International Council of Scientific Unions, Geneva Switzerland.
Ghil, M., Källén, E., Crafoord, C., and Le Treut, H.: 1979, “Simple Climate Models, II: Systems of Nonlinear ODEs,” preprint, SIAM Fall Meeting, Denver, Nov. 1979.
Källén, E., Crafoord, C., and Ghil, M.: 1978, “Free Oscillations in a Coupled Atmosphere-Hydrosphere-Cryosphere System,” in: Evolution of Planetary Atmospheres and Climatology of the Earth, Centre National d’Etudes Spatiales, Toulouse, France, pp. 285–298.
Källén, E., Crafoord, C., and Ghil, M.: 1979, “Free Oscillations in a Climate Model with Ice-Sheet Dynamics,” J. Atmos. Sci., in press.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 D. Reidel Publishing Company
About this paper
Cite this paper
Ghil, M. (1980). Successive Bifurcations and the Ice-Age Problem. In: Bardos, C., Bessis, D. (eds) Bifurcation Phenomena in Mathematical Physics and Related Topics. NATO Advanced Study Institutes Series, vol 54. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9004-3_3
Download citation
DOI: https://doi.org/10.1007/978-94-009-9004-3_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-9006-7
Online ISBN: 978-94-009-9004-3
eBook Packages: Springer Book Archive