Lie group analysis of a wave equation with a small nonlinear dissipation
Sign Up to like & getrecommendations! Published in 2017 at "Ricerche di Matematica"
DOI: 10.1007/s11587-016-0282-z
Abstract: In this paper, the problem of finding approximate symmetries of a wave equation with a small nonlinear dissipation is investigated. It is also explored the relationship between the approximate symmetries of our model and other… read more here.
Keywords: equation small; nonlinear dissipation; wave equation; small nonlinear ... See more keywords
Reconciling nonlinear dissipation with the bilinear model of two Brownian particles.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.107.014107
Abstract: The Brownian motion of a single particle is a paradigmatic model of the nonequilibrium dynamics of dissipative systems. In the system-plus-reservoir approach, one can derive the particle's equations of motion from the reversible dynamics of the… read more here.
Keywords: system; nonlinear dissipation; bilinear model; model ... See more keywords
Symplectic Integration Schemes for Systems With Nonlinear Dissipation
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2023.3235908
Abstract: In previous work a variational integration scheme for mechanical systems containing linear dissipation was developed (Limebeer et al., 2020). The key idea is to use a transmission line as the solution to a power-balancing control… read more here.
Keywords: nonlinear dissipation; symplectic integration; integration schemes; integration ... See more keywords