In this paper, we return to the subject of Jacobi metrics for timelike and null geodesics in
stationary spacetimes, correcting some previous misconceptions. We show that not only null …

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 …

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 …

In this paper, we formulate a relativistic generalization of noncentral force, and it is a
prototypical example of relativistic curl force. We study reductions of relativistic noncentral …

Abstract We apply Jacobi's Last Multiplier theory to construct the non-standard Lagrangian
and Hamiltonian structures for the Levinson–Smith equations satisfying the Chiellini …

The original intent of the Koopman–von Neumann formalism was to put classical and
quantum mechanics on the same footing by introducing an operator formalism into classical …

In open Hamiltonian systems, the escape from a bounded region of phase space according
to an exponential decay law is frequently associated with the existence of hyperbolic …

In classical mechanics, in the case of gravitational and electromagnetic interactions, the
force on a particle is usually proportional to its acceleration: The force acts locally on the …

We use the Hénon-Heiles system as a paradigmatic model for chaotic scattering to study the
Lorentz factor effects on its transient chaotic dynamics. In particular, we focus on how time …

In this article I discuss two alternatives to Eisenhart lift in Randers-Finsler geometry. I first
cover preliminaries of mechanics, discussing Maupertuis principle and the constraint. Then I …