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The Qualitative and Quantitative Methods of Kovalevskys Case

The Qualitative and Quantitative Methods of Kovalevskys Case
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摘要 The phase portrait of the functions obtained by Hamilton-Jacobi equations is substantiated, and the classification of singular points is found, and the bifurcation diagram for the problem is studied. The numerical calculation by using Poincaré surface section is used to get the invariant tori for our problem. The phase portrait of the functions obtained by Hamilton-Jacobi equations is substantiated, and the classification of singular points is found, and the bifurcation diagram for the problem is studied. The numerical calculation by using Poincaré surface section is used to get the invariant tori for our problem.
出处 《Journal of Applied Mathematics and Physics》 2017年第9期1837-1854,共18页 应用数学与应用物理(英文)
关键词 Hamilton-Jacobi’s EQUATIONS Phase PORTRAIT POINCARÉ Surface-Section Qualitative and QUANTITATIVE Methods Hamilton-Jacobi’s Equations Phase Portrait Poincaré Surface-Section Qualitative and Quantitative Methods
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