Geometric Hamilton-Jacobi theory and integrability for nonholonomic and forced hybrid systems
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 …
and discrete transitions. The geometric framework for the Hamilton-Jacobi theory is …
The geometry of dissipation
A López-Gordón - arXiv preprint arXiv:2409.11947, 2024 - arxiv.org
Dissipative phenomena manifest in multiple mechanical systems. In this dissertation,
different geometric frameworks for modelling non-conservative dynamics are considered …
different geometric frameworks for modelling non-conservative dynamics are considered …
[PDF][PDF] Contact hamiltonian systems
ML Valcázar - 2022 - icmat.es
Contact Hamiltonian systems are a generalization of the Hamiltonian systems of classical
mechanics. The action is added as an extra variable in phase space, and symplectic …
mechanics. The action is added as an extra variable in phase space, and symplectic …
[引用][C] Hamilton–Jacobi theory for nonholonomic and forced hybrid mechanical systems
A hybrid system is a system whose dynamics is given by a mixture of both continuous and
discrete transitions. In particular, these systems can be utilised to describe the dynamics of a …
discrete transitions. In particular, these systems can be utilised to describe the dynamics of a …