For mechanical Hamiltonian systems on the torus, we study the dynamical properties of the generalized characteristic semiflows associated with the Hamilton-Jacobi equations, and build the relation between the omega-limit sets of the semiflows and the projected Aubry sets. (C) 2019 Elsevier Inc. All rights reserved.
Cannarsa, P., Chen, Q., Cheng, W. (2019). Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus. JOURNAL OF DIFFERENTIAL EQUATIONS, 267(4), 2448-2470 [10.1016/j.jde.2019.03.020].
Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus
Cannarsa P.;
2019-01-01
Abstract
For mechanical Hamiltonian systems on the torus, we study the dynamical properties of the generalized characteristic semiflows associated with the Hamilton-Jacobi equations, and build the relation between the omega-limit sets of the semiflows and the projected Aubry sets. (C) 2019 Elsevier Inc. All rights reserved.File in questo prodotto:
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