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The dynamics of conformal Hamiltonian flows: dissipativity and conservativity

Authors :
Allais, Simon
Arnaud, Marie-Claude
Publication Year :
2022

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.<br />Comment: 28 pages, 1 figure

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2212.02283
Document Type :
Working Paper