12 citations · 25 across the 16 of their papers we have counts for
5 papers · 1 filter
Limits of the Formal Integrals of Motion
George Contopoulos, Athanasios C. Tzemos, Foivos Zanias
We consider a formal (approximate) integral of motion in Hamiltonians of the form generalizing previous cases wi…
Orbits in the integrable Hénon-Heiles systems
Athanasios C. Tzemos, George Contopoulos, Foivos Zanias
We study in detail the form of the orbits in integrable generalized Hénon-Heiles systems with Hamiltonians of the form $H = \frac{1}{2}(\dot{x}^2 + Ax^2 + \dot{y}^2 + By^2) + ε(xy^…
Integrals and chaos in generalized Hénon-Heiles Hamiltonians
G. Contopoulos, A. C. Tzemos, F. Zanias
We study the approximate (formal) integrals of motion in the Hamiltonian which is…
Classical and Bohmian trajectories in integrable and non integrable systems
George Contopoulos, Athanasios C. Tzemos
In the present paper we study the classical and the quantum Hénon-Heiles systems. In particular we make a comparison between the classical and the quantum trajectories of the integ…
Chaos in 2-d Bohmian Trajectories
Athanasios C. Tzemos, George Contopoulos
We make a short review of the most general mechanism for the generation of chaos in 2-d Bohmian trajectories, the so called `nodal point-X-point complex' (NPXPC) mechanism. The pre…