The dynamics of conformal Hamiltonian flows: dissipativity and conservativity
Dynamical Systems
2022-12-06 v1 Symplectic Geometry
Abstract
We study in detail the dynamics of conformal Hamiltonian flows that are defined on a conformal symplectic manifold (this notion was popularized by Vaisman in 1976). We show that they exhibit some conservative and dissipative behaviours. We also build many examples of various dynamics that show simultaneously their difference and resemblance with the contact and symplectic case.
Keywords
Cite
@article{arxiv.2212.02283,
title = {The dynamics of conformal Hamiltonian flows: dissipativity and conservativity},
author = {Simon Allais and Marie-Claude Arnaud},
journal= {arXiv preprint arXiv:2212.02283},
year = {2022}
}
Comments
28 pages, 1 figure