Existence of a Slow Manifold in a Model System of EquationsSource: Journal of the Atmospheric Sciences:;1991:;Volume( 048 ):;issue: 007::page 893Author:Jacobs, S. J.
DOI: 10.1175/1520-0469(1991)048<0893:EOASMI>2.0.CO;2Publisher: American Meteorological Society
Abstract: A model system of equations proposed by Lorenz and Krishnamurthy is analyzed. The Hartman-Grobman theorem is employed to prove that the equations of the model admit a slow manifold devoid of gravity-wave activity, and the theory of normal forms is used to construct the manifold and to determine when the manifold is stable. The study disproves a conjecture by Lorenz and Krishnamurthy that a slow manifold does not exist for their model.
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| contributor author | Jacobs, S. J. | |
| date accessioned | 2017-06-09T14:30:18Z | |
| date available | 2017-06-09T14:30:18Z | |
| date copyright | 1991/04/01 | |
| date issued | 1991 | |
| identifier issn | 0022-4928 | |
| identifier other | ams-20508.pdf | |
| identifier uri | http://onlinelibrary.yabesh.ir/handle/yetl/4156744 | |
| description abstract | A model system of equations proposed by Lorenz and Krishnamurthy is analyzed. The Hartman-Grobman theorem is employed to prove that the equations of the model admit a slow manifold devoid of gravity-wave activity, and the theory of normal forms is used to construct the manifold and to determine when the manifold is stable. The study disproves a conjecture by Lorenz and Krishnamurthy that a slow manifold does not exist for their model. | |
| publisher | American Meteorological Society | |
| title | Existence of a Slow Manifold in a Model System of Equations | |
| type | Journal Paper | |
| journal volume | 48 | |
| journal issue | 7 | |
| journal title | Journal of the Atmospheric Sciences | |
| identifier doi | 10.1175/1520-0469(1991)048<0893:EOASMI>2.0.CO;2 | |
| journal fristpage | 893 | |
| journal lastpage | 902 | |
| tree | Journal of the Atmospheric Sciences:;1991:;Volume( 048 ):;issue: 007 | |
| contenttype | Fulltext |