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math-ph2021
Non-integrability of a three dimensional generalized Hénon-Heiles system
Ognyan Christov
In recent paper Fakkousy et al. show that the 3D Hénon-Heiles system with Hamiltonian $ H = \frac{1}{2} (p_1 ^2 + p_2 ^2 + p_3 ^2) +\frac{1}{2} (A q_1 ^2 + C q_2 ^2 + B q_3 ^2) + (…
math-ph2019
Near-integrability of periodic Klein-Gordon lattices
Ognyan Christov
In this paper we study the Klein-Gordon (KG) lattice with periodic boundary conditions. It is an degrees of freedom Hamiltonian system with linear inter-site forces and nonline…