id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-6341	Amer, T. S.; El-Saba, F. M. ; Fakharany, M. ; Gad, H. M.	An Exploration of the Topological Structure and Bifurcation of Liouville Tori in Models of Galactic Motion	2025	22	.pdf	application/pdf	7619	499	70	After some adjustments, the following differential equations may be obtained ξ̈ + Lξ +Mη = 0, η̈ +Nη +Mξ = 0, (36) where VXX(Xp, Yp) = L, VY Y (Xp, Yp) = N, VXY (Xp, Yp) = M . The Hamiltonian function associated with the potential V is H = 1 2 ( P 2 X + P 2 Y +X2 + Y 2 ) +XY 2 − 1 3 X3.	cache/ejpam-6341.pdf	txt/ejpam-6341.txt