Relativistic Hamiltonian systems of n degrees of freedom in static curved spaces are
considered. The source of space-time curvature is a scalar potential V (q). In the limit of …

The description of dynamics for high-energy particles requires an application of the special
relativity theory framework, and analysis of properties of the corresponding equations of …

In this work, we consider the integrability of a general 2D motion of a particle on a surface
with variable Gaussian curvature under the influence of conservative potential forces …

In this work we perform integrability analysis of natural Hamiltonian systems with two
degrees of freedom governed by a metric defining the infinitesimal linear element dl 2= 1 2 …

In this work, we inspect the integrability of a natural Hamiltonian system interpreted
physically as the motion of a particle in the Euclidean plane under the effect of conservative …

Abstract In our work (Nonlinear Dyn. 93: 933–943, 2018), we introduced the necessary
conditions for the integrability for certain type of Hamiltonian systems by investigating the …

The objective of this work is to examine the integrability of Hamiltonian systems in $2 D $
spaces with variable curvature of certain types. Based on the differential Galois theory, we …

Abstract In the paper [1], the author formulates in Theorem 2 necessary conditions for
integrability of a certain class of Hamiltonian systems with non-constant Gaussian curvature …

For a superintegrable system defined in plane polar-like coordinates introduced by
Szumiński et al. and studied by Fordy, we show that the system with a position-dependent …

In this paper we consider Huang--Li nonlinear financial system recently studied in the
literature. It has the form of three first order differential equations\[\dot x= z+ (ya) x,\quad\dot …