Order and chaos in Hamiltonian systems with quartic coupling
M El Ghamari, J Kharbach, W Chatar… - The European Physical …, 2022 - Springer
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 …
explore the complex phenomena associated with nonlinear Hamiltonian systems with …
Liouvillian integrability of the three-dimensional generalized Hénon–Heiles Hamiltonian
I El Fakkousy, J Kharbach, W Chatar… - The European Physical …, 2020 - Springer
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 …
dimensional generalized Hénon–Heiles Hamiltonian. This also allow to get explicitly …
[HTML][HTML] Painlevé's analysis, integrability and detecting chaos-order-chaos transition by the SALI and mLE methods of three-dimensional Armbruster Guckenheimer …
W Chatar, J Kharbach, M Benkhali, M El Ghamari… - Physics Letters A, 2021 - Elsevier
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 …
general form is considered. The integrability of this problem is performed by using the …
Existence and Linear Stability of Symmetric Periodic Orbits in the Generalized Planar Stark–Zeeman Problem
A Alberti - Qualitative theory of dynamical systems, 2024 - Springer
The purpose of this paper is to demonstrate the existence of symmetric periodic solutions for
a two-dimensional hydrogen atom subject to external electric and magnetic fields. We build …
a two-dimensional hydrogen atom subject to external electric and magnetic fields. We build …
Detecting Order and Chaos by the mLE, SALI and GALI Methods in Three-Dimensional Nonlinear Yang–Mills System
W Chatar, M El Ghamari, J Kharbach… - … Journal of Bifurcation …, 2022 - World Scientific
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 three-dimensional (3D) generalized Hamiltonian Yang–Mills system as coupled quartic …
Applying PSS, mLE, SALI and GALI Methods for Exploring Order and Chaos in Two and Three Dimensional Hamiltonian Systems with Quartic Coupling
W Chatar, J Kharbach, M Benkhali, R Masrour… - 2021 - researchsquare.com
In this article, the complex nonlinear dynamics and chaos control have been examined in
Hamiltonians systems with quartic coupling through the generalized three-dimensional (3D) …
Hamiltonians systems with quartic coupling through the generalized three-dimensional (3D) …