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Original Articles

Stochastic aspects of climatic transitions–Additive fluctuations

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Pages 225-234 | Received 16 Jun 1980, Accepted 24 Oct 1980, Published online: 15 Dec 2016

References

  • Arnold, L. 1973. Stochastic differential equations. New York: Wiley.
  • Caroli B., Caroli, C. and Roulet, T. 1979. Diffusion in a bistable potential: a systematic W.K.B. treatment. J. Stat. Phys. 21, 415–437.
  • Cess, R. D. 1976. Climate change: An appraisal of atmospheric feedback mechanisms employing zonal climatology. J. Atmos. Sci. 33, 1831–1842.
  • Chang, J. S. and Cooper, G. 1970. A practical difference scheme for Fokker-Planck equations. J. Computa-tional Phys. 6, 1–16.
  • Crafoord, C. and Källen, E. 1978. A note on the condition for existence of more than one steady-state solution in Budyko-Sellers type models. J. Atmos. Sci. 35,1123–1125.
  • Fraedrich, K. 1978. Structural and stochastic analysis of a zero-dimensional climate system. Quart. J. R. Met. Soc. 104, 461–474.
  • Ghil, M. 1976. Climate stability for a Sellers-type model. J. Atmos. Sci. 33, 3–20.
  • Haken, H. 1977. Synergetics. Berlin: Springer-Verlag.
  • Hasselmann, K. 1976. Stochastic climate models, Part 1. Theory. Tellus 28, 473–485.
  • Landau, L. D. and Lifshitz, I. M. 1959. Statistical physics. Oxford: Pergamon Press.
  • Lemke, P. 1977. Stochastic climate models, Part 3, Application to zonally averaged energy models. Tellus 30,97–103.
  • Matthews, J. and Walker, R. L. 1965. Mathematical methods of physics. New York: W. A. Benjamin.
  • Nicolis, C. 1980. Derivation of zero-dimensional from one-dimensional climate models. J. Geophys. and Astrophys. Fluid Dyn. 14, 91–103.
  • Nicolis, C. and Nicolis, G. 1979. Environmental fluctuation effects on the global energy balance. Nature 281, 132–134.
  • Nicolis, G. and Prigogine, I. 1977. Self organization in non-equilibrium systems. New York: Wiley.
  • Nicolis, G. and Turner, J. 1979. Effect of fluctuations on bifurcation phenomena. Ann. N.Y. Acad. Sci. 316, 251–262.
  • North, G. R. 1975. Theory of energy-balance models. J. Atmos. Sci. 32, 2033–2043.
  • North, G. R., Howard, L., Pollard, D. and Wielicki, B. 1979. Variational formulation of Budyko-Sellers climate models. J. Atmos. Sci. 36, 255–259.
  • Paltridge, G. W., 1979. Climate and thermodynamic systems of maximum dissipation. Nature 279, 630–631.
  • Robock, A. 1978. Internally and externally caused climatic change. J. Atmos. Sci. 35, 1111–1122.
  • Suzuki, M. 1977. Scaling theory of transient phenomena near the instability point. J. Stat. Phys. 16,11–32.
  • van Kampen, N. G. 1977. A soluble model for diffusion in a bistable potential. J. Stat. Phys. 17, 71–88.
  • Wax, N. 1954. Selected topics in noise and stochastic processes. New York: Dover.