11 citations · 11 across the 1 of their papers we have counts for
3 papers
math.DG2024
Generalizing Hamiltonian Mechanics with Closed Differential Forms
Nathan Duignan, Naoki Sato
Classical Hamiltonian mechanics, characterized by a single conserved Hamiltonian (energy) and symplectic geometry, `hides' other invariants into symmetries of the Hamiltonian or in…
math-ph2024
Global realisation of magnetic fields as 1D Hamiltonian systems
Nathan Duignan, David Perrella, David Pfefferlé
The paper reviews the notion of D non-autonomous Hamiltonian systems, portraying their dynamics as the flow of the Reeb field related to a closed two-form of maximal…
math.DG2023★ 11 cited
Existence of global symmetries of divergence-free fields with first integrals
David Perrella, Nathan Duignan, David Pfefferlé
The relationship between symmetry fields and first integrals of divergence-free vector fields is explored in three dimensions in light of its relevance to plasma physics and magnet…