In this paper, the theory of smooth actiondependent Lagrangian mechanics (also known as
contact Lagrangians) is extended to a non-smooth context appropriate for collision …

We formulate and study a generalized virial theorem for contact Hamiltonian systems. Such
systems describe mechanical systems in the presence of simple dissipative forces such as …

Geodesic vector fields and other distinguished vector fields on a Riemann manifold were
used in the study of free motions on such a manifold, and we applied the geometric Hamilton …

We study the dynamics of contact mechanical systems on Lie groups that are invariant under
a Lie group action. Analogously to standard mechanical systems on Lie groups, existing …

Dissipative phenomena manifest in multiple mechanical systems. In this dissertation,
different geometric frameworks for modelling non-conservative dynamics are considered …

We study the dynamics of contact mechanical systems on Lie groups that are invariant under
a Lie group action. Analogously to standard mechanical systems on Lie groups, existing …

A hybrid system is a system whose dynamics are controlled by a mixture of both continuous
and discrete transitions. The integrability of Hamiltonian systems is often identified with …

In this paper, we introduce a geometric description of contact Lagrangian and Hamiltonian
systems on Lie algebroids in the framework of contact geometry, using the theory of …

In this paper we address the problem of identifying contracting systems among dynamical
systems appearing in mechanics. First, we introduce a sufficient condition to identify …