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Variational construction of connecting orbits between Legendrian graphs
Published 28 Aug 2022 in math.DS and math.SG | (2208.13199v2)
Abstract: Motivated by the problem of global stability of thermodynamical equilibria in non-equilibrium thermodynamics formulated in a paper [12], we introduce some mechanisms for constructing semi-infinite orbits of contact Hamiltonian systems connecting two Legendrian graphs from the viewpoint of Aubry-Mather theory and weak KAM theory.
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