In this paper we study coisotropic reduction in different types of dynamics according to the
geometry of the corresponding phase space. The relevance of coisotropic reduction is …

In contact Hamiltonian systems, the so‐called dissipated quantities are akin to conserved
quantities in classical Hamiltonian systems. In this article, a Noether's theorem for non …

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

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 …

A hybrid system is a system whose dynamics are controlled by a mixture of both continuous
and discrete transitions. The geometric framework for the Hamilton-Jacobi theory is …

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

In the recent years, with the incorporation of contact geometry, there has been a renewed
interest in the study of dissipative or non-conservative systems in physics and other areas of …

Vlasov kinetic dynamics fits within the Poisson framework, specifically in the Lie-Poisson
form. In this context, each particle constituting the plasma follows classical symplectic …

It is well known that k-contact geometry is a suitable framework to deal with non-
conservative field theories. In this paper, we study some relations between solutions of the k …

A Hamiltonian system is completely integrable (in the sense of Liouville) if there exist as
many independent integrals of motion in involution as the dimension of the configuration …