100
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

On forced and unforced triadic models of atmospheric flow

&
Pages 11-20 | Received 25 Mar 1982, Accepted 14 Feb 1983, Published online: 15 Dec 2016

References

  • Abramovitz, M. and Stegun, I. 1972. Handbook of mathematical functions. New York: Dover Publ., 567–607.
  • Baer, F. 1970. Analytic solutions to low-order spectral systems. Arch. Meteorol. Geophys. Bioklim. A19, 255–283.
  • Cronin, J. 1980. Dfferential equations. New York: Dekker, 95–113.
  • Dutton, J. A. 1976a. Aperiodic trajectories and stationary points in a three-component spectral model of atmospheric flow. J. Atmos. Sci 33, 1499–1504.
  • Dutton, J. A. 1976b. Recurrence and limit properties of thermally forced and unforced flows. J. Atmos. Sci 33, 1432–1453.
  • Galin, M. B. 1974. Mechanism of non-linear interactions in the atmosphere for the case of a three-component system. Izv. Atmos. Ocean. Phys. 10,455–466.
  • Galin, M. B. and Kurbatkin, G. P. 1975. Three-component analysis of non-linear interactions in the atmosphere. Izv. Atmos. Ocean. Phys. 11, 675–680.
  • Lorenz, E. N. 1960. Maximum simplification of the dynamic equations. Tellus 12, 243–254.
  • Lorenz, E. N. 1963. Deterministic non-periodic flow. J. Atmos. Sci. 20, 130–141.
  • Mitchell, K. E. and Dutton, J. A. 1981. Bifurcations from stationary to periodic solutions in a low-order model of forced, dissipative barotropic flow. J. A tmos. Sci. 38,690–716.
  • Platzman, G. W. 1962. Analytical dynamics of the spectral vorticity equations. J. A tmos. Sci. 19, 313–328.
  • Vickroy, J. and Dutton, J. A. 1979. Properties of the solutions to a spectral model of forced dissipative, nonlinear quasi-geostrophic flow. J. Atmos. Sci. 36, 42–52.