M. Buliga†
Abstract: We explain a dissipative version of Hamiltonian mechanics, based on the information content of the deviation from Hamiltonian dynamics. From this formulation, minimal dissipation principles, dynamical inclusions, and constrained evolution with Hamiltonian drift reformulations are deduced. Among applications, a dynamics generalization of quasistatic rate-independent processes is recovered.
MSC: 70H05, 70H30, 70S05, 74C05, 70G75, 49J40.
keywords: convex dissipation, Hamiltonian inclusions, symplectic bipotentials, symplectic Brezis-Ekeland-Nayroles principle.
DOI 10.56082/annalsarscimath.2023.1-2.366
†marius.buliga@imar.ro, Simion Stoilow Institute of Mathematics of the Romanian Academy, Romania.
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 15 no 1-2, 2023
