arXiv:2212.02283 Abstract | arXiv Analytics

arXiv:2212.02283 [math.DS]Abstract References Reviews Resources

The dynamics of conformal Hamiltonian flows: dissipativity and conservativity

Published 2022-12-05Version 1

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.

Comments: 28 pages, 1 figure

Categories: math.DS, math.SG

Subjects: 37C05, 34D45, 37C70, 53E50, 34C45

Keywords: conformal hamiltonian flows, dissipativity, conservativity, conformal symplectic manifold, symplectic case

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