论文标题

共形汉密尔顿流动的动力:散发和保守性

The dynamics of conformal Hamiltonian flows: dissipativity and conservativity

论文作者

Allais, Simon, Arnaud, Marie-Claude

论文摘要

我们详细研究了在形式符号歧管上定义的共形汉密尔顿流的动力学(该概念在1976年被Vaisman推广)。我们表明它们表现出一些保守和耗散的行为。我们还构建了许多各种动态的示例,这些示例表明它们与接触和符号案例的差异和相似之处。

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.

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