Liouvillian integrability of the three-dimensional generalized Hénon–Heiles Hamiltonian

被引：0
作者：
Idriss El Fakkousy
Jaouad Kharbach
Walid Chatar
Mohamed Benkhali
Abdellah Rezzouk
Mohammed Ouazzani-Jamil
机构：
[1] Université Sidi Mohamed Ben Abdellah,Laboratoire de Physique du Solide, Faculté des Sciences Dhar El Mahraz
[2] Université Privée de Fès,Laboratoire Systèmes et Environnements Durables
来源：
The European Physical Journal Plus | / 135卷
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摘要：
In this paper, we report about three cases of integrability in sense of Liouville for three-dimensional generalized Hénon–Heiles Hamiltonian. This also allow to get explicitly integrals of motions for each case. On the other hand, this paper investigates the phase space structure numerically with Poincaré surfaces of section and 3D projections which allow to verify that the analytical results are in agreement with the computations.
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