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Article Dans Une Revue Revista Matemática Iberoamericana Année : 2024

The dynamics of conformal Hamiltonian flows: dissipativity and conservativity

Résumé

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.

Dates et versions

hal-03887526 , version 1 (06-12-2022)

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Simon Allais, Marie-Claude Arnaud. The dynamics of conformal Hamiltonian flows: dissipativity and conservativity. Revista Matemática Iberoamericana, 2024, ⟨10.4171/RMI/1456⟩. ⟨hal-03887526⟩
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