Pantograph, the technological successor of trolley poles, is an overhead current collector of
electric bus, electric trains, and trams. In this work, we consider the discrete fractional …

We provide new insights into the contact Hamiltonian and Lagrangian formulations of
dissipative mechanical systems. In particular, we state a new form of the contact dynamical …

We review the general theory of the Jacobi last multipliers in geometric terms and then apply
the theory to different problems in integrability and the inverse problem for one-dimensional …

In this study, a new generalized local fractal derivative operator is introduced and we
discuss its implications in classical systems through the Lagrangian and Hamiltonian …

The purpose of this paper is to develop, in fractal dimension, the semi-quantitative extension
of the Ginzburg-Landau theory of superconductivity. Our theoretical analysis is based on the …

Dynamical systems with dissipative behaviour can be described in terms of contact
manifolds and a modified version of Hamilton's equations. Dissipation terms can also be …

A new geometric structure inspired by multisymplectic and contact geometries, which we call
multicontact structure, is developed to describe non-conservative classical field theories …

We show that the contact dynamics obtained from the Herglotz variational principle can be
described as a constrained nonholonomic or vakonomic ordinary Lagrangian system …

This paper provides a new geometric framework to describe non-conservative field theories
with explicit dependence on the space–time coordinates by combining the k-cosymplectic …

We present a unified geometric framework for describing both the Lagrangian and
Hamiltonian formalisms of contact autonomous mechanical systems, which is based on the …