The Qualitative and Quantitative Methods of Kovalevskys Case

作     者：Fawzy Mohamed Fahmy El-Sabaa Alshimaa Abdelbasit Mohamed Salma Khalel Zakria 

作者机构：Department of Mathematics Faculty of Education Ain Shams University Cairo Egypt 

出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)

年 卷 期：2017年第5卷第9期

页      面：1837-1854页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Hamilton-Jacobi’s Equations Phase Portrait Poincaré Surface-Section Qualitative and Quantitative Methods 

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.