On the multiplicity of equilibria of baroclinic waves

Ming Cai; Mankin Mak

doi:10.3402/tellusa.v39i2.11746

On the multiplicity of equilibria of baroclinic waves

Tellus

Volume 39 (1987): Issue 2

By: Ming Cai and Mankin Mak

Open Access

|Jan 1987

Charney , J. G. and DeVore , J. G. 1979 . Multiple flow equilibria in the atmosphere and blocking . J. Atmos. Sci . 36 , 1205 – 1216 .
Search in Google Scholar Back to article
Chou , S.-H. and Loesch , A. Z. 1986 . Supercritical dynamics of baroclinic disturbances in a free-surface model . J. Atmos. Sci. 43 , 285 – 301 .
Search in Google Scholar Back to article
Jones , S. 1979 . Rossby wave interactions and instabilities in a rotating, two-layer fluid on a betaplane. Part II: Stability . Geophys. Astrophys. Fluid Dyn . 12 , 1 – 33 .
Search in Google Scholar Back to article
Källén , E. 1981 . The nonlinear effects of orographic and momentum forcing in a low-order, barotropic model . J. Atmos. Sci . 38 , 2150 – 2163 .
Search in Google Scholar Back to article
Klein , P. and Pedlosky , J. 1986 . A numerical study of baroclinic instability at large supercriticality . J. Atmos. Sci . 43 , 1263 – 1274 .
Search in Google Scholar Back to article
Landford , O. E. 1981 . Strange attractors and turbulence . In Hydrodynamic instabilities and the transition to turbulence (eds. H. L. Swinney and J. P. Gollub ). Topics in Applied Physics , Vol. 45 , Springer-Verlag , 7 - 26 .
Search in Google Scholar Back to article
Legras , B. and Ghil , M. 1985 . Persistent anomalies, blocking and variations in atmospheric predict-ability . J. Atmos. Sci . 41 , 433 – 471 .
Search in Google Scholar Back to article
Lorenz , E. N. 1963 . The mechanics of vacillation . J. Atmos. Sci . 20 , 448 – 464 .
Search in Google Scholar Back to article
Lorenz , E. N. 1972 . Barotropic instability of Rossby wave motion . J. Atmos. Sci . 29 , 258 – 264 .
Search in Google Scholar Back to article
Mak , M. 1985 . Equilibration in nonlinear baroclinic instability . J. Atmos. Sci . 42 , 2764 – 2782 .
Search in Google Scholar Back to article
Pedlosky , J. 1970 . Finite amplitude baroclinic waves . J. Atmos. Sci . 27 , 15 – 30 .
Search in Google Scholar Back to article
Pedlosky , J. 1981 . Resonant topographic waves in barotropic and baroclinic flows . J. Atmos. Sci . 38 , 2626 – 2641 .
Search in Google Scholar Back to article
Powell , M. J. D. 1970 . A hybrid method for nonlinear equations . In Numerical methods for non-linear algebraic equations (ed. P. Rabinowitz ). Gordon and Breach , 87 - 114 .
Search in Google Scholar Back to article
Rambaldi , S. and Mo , K. C. 1984 . Forced stationary solutions in a barotropic channel: Multiple equilibria and theory of nonlinear resonance . J. Armes. Sci . 41 , 3135 – 3146 .
Search in Google Scholar Back to article
Reinhold , B. 1986 . Structural determinism of linear baroclinic waves and simple nonlinear equilibration . J. Atmos. Sci . 43 , 1484 – 1504 .
Search in Google Scholar Back to article
Smith , A. K. 1983 . Observation of wave-wave interactions in the stratosphere . J. Atmos. Sci . 40 , 2484 – 2496 .
Search in Google Scholar Back to article
Smith , A. K. , Gille , J. G. and Lyjak , L. V. 1984 . Wave-wave interactions in the stratosphere: Observations during quiet and active wintertime periods . J. Atmos. Sci . 41 , 363 – 373 .
Search in Google Scholar Back to article
Tung , K. K. and Rosenthal , A. J. 1985 . Theories of multiple equilibria a critical reexamination. Part I. Barotropic models . J. Atmos. Sci . 42 , 2804 – 2819 .
Search in Google Scholar Back to article
Vautard , R. and Legras , B. 1986 . Invariant manifolds, quasi-geostrophy and initialization. J. Atmos. Sci. 43 , 565 – 584 .
Search in Google Scholar Back to article
Vickroy , J. G. and Dutton , J. A. 1979 . Bifurcation and catastrophe in a simple, forced, dissipative quasi-geostrophic flow . J. Atmos. Sci . 36 , 42 – 52 .
Search in Google Scholar Back to article
Wiin-Nielsen , A. 1979 . Steady states and stability properties of a low-order barotropic system with forcing and dissipation . Tellus 31 , 375 – 386 .
Search in Google Scholar Back to article
Yoden , S. 1985 . Bifurcation properties of a quasi-geostrophic barotropic low-order model with topography . J. Meteorol. Soc. of Japan 63 , 535 – 546 .
Search in Google Scholar Back to article