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Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus

For mechanical Hamiltonian systems on the torus, we study the dynamical properties of the generalized characteristics semiflows associated with certain Hamilton-Jacobi equations, and build the relation between the $ω$-limit set of this semiflow and the projected Aubry set.

preprint2018arXivOpen access
Piermarco CannarsaQinbo ChenWei Cheng
math.APmath.DS
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Piermarco CannarsaQinbo ChenWei Cheng

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