Abstract
AbstractIt is shown that a smooth area-preserving monotone twist mapping ϕ of an annulus A can be interpolated by a flow ϕt which is generated by a t-dependent Hamiltonian in ℝ × A having the period 1 in t and satisfying a Legendre condition. In other words, any such monotone twist mapping can be viewed as a section mapping for the extremals of variational problem on a torus:where F has period 1 in t and x and satisfies the Legendre condition Fẋẋ>0.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Reference4 articles.
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