1 citations · 2 across the 4 of their papers we have counts for
6 papers
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) + (…
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…
A note on the integrability of Hamiltonian 1 : 2 : 2 resonance
Ognyan Christov
We study the integrability of the Hamiltonian normal form of 1 : 2 : 2 resonance. It is known that this normal form truncated to order three is integrable. The truncated to order f…
Near-integrability of low dimensional periodic Klein-Gordon lattices
Ognyan Christov
The low dimensional periodic Klein-Gordon lattices are studied for integrability. We prove that the periodic lattice with two particles and certain nonlinear potential is non integ…
Non-integrability of the second Painleve equation as a Hamiltonian system
Tsvetana Stoyanova, Ognyan Christov
We prove non-existence of an additional rational integral for the second Painleve equation considered as a Hamiltonian system using Morales - Ramis theory.
Non-uniform continuity of periodic Holm-Staley b-family of equations
Ognyan Christov, Sevdzhan Hakkaev, Iliya D. Iliev
We consider a family of non-evolutionary partial differential equations known as Holm - Staley b - family which includes the integrable Camassa-Holm and Degasperis-Procesi equation…