We numerically solve the equations of motion (EOM) for two models of circular cosmic string
loops with windings in a simply connected internal space. Since the windings cannot be …

The projective metrizability problem can be formulated as follows: under what conditions the
geodesics of a given spray coincide with the geodesics of some Finsler space, as oriented …

In this work we show that for the geodesic spray S of a Finsler function F, the most natural
projective deformation leads to a non-Finsler metrizable spray, for almost every value of λ∈ …

We study the stability of the cosmological scalar field models by using the Jacobi stability
analysis, or the Kosambi‐Cartan‐Chern (KCC) theory. In this approach, we describe the …

The Jacobi stability of the normal form of typical bifurcations in one-dimensional dynamical
systems is analyzed by introducing the concept of the production process (time-like …

We prove that various Finsler metrizability problems for sprays can be reformulated in terms
of the geodesic invariance of two tensors (metric and angular). We show that gyroscopic …

It is well known that a system of homogeneous second-order ordinary differential equations
(spray) is necessarily isotropic in order to be metrizable by a Finsler function of scalar flag …

In this article we investigate hypocoercivity of Langevin-type dynamics in nonlinear smooth
geometries. The main result stating exponential decay to an equilibrium state with explicitly …

Motivated by obtaining a consistent mathematical description for the radiation reaction of
point charged particles in linear classical electrodynamics, a theory of generalized higher …

In this paper we investigate the relations between semispray, nonlinear connection,
dynamical covariant derivative and Jacobi endomorphism on Lie algebroids. Using these …