As a large extension in Hamiltonian form, the system of a PT symmetric dimer of coupled
nonlinear oscillators is developed. This system provides an explanation for a number of …

This paper aims at the most comprehensive and systematic construction and tabulation of
mechanical systems that admit a second invariant, quadratic in velocities, other than the …

In this study, a variety of analytical approaches and numerical methods are carried out to
explore the complex phenomena associated with nonlinear Hamiltonian systems with …

Abstract The three-dimensional (3D) Armbruster Guckenheimer Kim galactic potential in the
general form is considered. The integrability of this problem is performed by using the …

In this paper, we performed an adapted canonical transformation, and we analysed the
phase space topology and the bifurcation of Liouville tori of the Hydrogen atom subjected to …

The main objective of this study is to explore the nonlinear dynamics and chaos detecting in
the three-dimensional (3D) generalized Hamiltonian Yang–Mills system as coupled quartic …

The classical dynamics of a hydrogen atom in a generalized van der Waals potential is
investigated. In order to carry out the analytical and numerical investigations for a range of …

In this article, the classic dynamic of Paul trap problem is investigated. We give a complete
description of the topological structure of Hamiltonian flows on the real phase space. Using …