TITLE:
The Qualitative and Quantitative Methods of Kovalevskys Case
AUTHORS:
Fawzy Mohamed Fahmy El-Sabaa, Alshimaa Abdelbasit Mohamed, Salma Khalel Zakria
KEYWORDS:
Hamilton-Jacobi’s Equations, Phase Portrait, Poincaré Surface-Section, Qualitative and Quantitative Methods
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.9,
September
27,
2017
ABSTRACT: 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.