6 papers · 1 filter
Time-dependent Hamiltonian mechanics on a locally conformal symplectic manifold
Orlando Ragnisco, Cristina Sardon, Marcin Zając
In this paper we aim at presenting a concise but also comprehensive study of time-dependent (tdependent) Hamiltonian dynamics on a locally conformal symplectic (lcs) manifold. We p…
Plasma in monopole background is not twisted Poisson
Manuel Lainz, Cristina Sardon, Alan Weinstein
For a particle in the magnetic field of a cloud of monopoles, the naturally associated 2-form on phase space is not closed, and so the corresponding bracket operation on functions…
A Hamilton-Jacobi formalism for higher order implicit systems
O. Esen, M. de León, C. Sardón
In this paper, we present a generalization of a Hamilton--Jacobi theory to higher order implicit differential equations. We propose two different backgrounds to deal with higher or…
Reduction of a Hamilton-Jacobi equation for nonholonomic systems
Oğul Esen, Manuel de León, Víctor Manuel Jiménez Morales +1
Nonholonomic mechanical systems have been attracting more interest in recent years because of their rich geometric properties and their applications in Engineering. In all generali…
Quasi-algorithmical construction of reciprocal transformations
C. Sardon
Reciprocal transformations mix the role of the dependent and independent variables to achieve simpler versions or even linearized versions of nonlinear PDEs. These transformations…
Miura Reciprocal transformation for two integrable hierarchies in 1+1 dimensions
P. G. Estevez, C. Sardon
We here present two different hierarchies of PDEs in 1+1 dimensions whose first and second member are the shallow water wave Camassa-Holm and Qiao equations, correspondingly. These…