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The dynamics of conformal Hamiltonian flows: dissipativity and conservativity
by
Marie-Claude, Arnaud
, Allais, Simon
in
Orbits
/ Ordinary differential equations
2024
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The dynamics of conformal Hamiltonian flows: dissipativity and conservativity
by
Marie-Claude, Arnaud
, Allais, Simon
in
Orbits
/ Ordinary differential equations
2024
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The dynamics of conformal Hamiltonian flows: dissipativity and conservativity
Journal Article
The dynamics of conformal Hamiltonian flows: dissipativity and conservativity
2024
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Overview
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.
Publisher
European Mathematical Society (EMS)
Subject
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