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arXiv:1805.10637 [math.DS]AbstractReferencesReviewsResources

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

Piermarco Cannarsa, Qinbo Chen, Wei Cheng

Published 2018-05-27Version 1

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 $\omega$-limit set of this semiflow and the projected Aubry set.

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