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
Periodic orbit of the pendulum with a small nonlinear damping
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Analysis and Computation"
DOI: 10.11948/2018.649
Abstract: We study the pendulum with a small nonlinear damping, which can be expressed by a Hamiltonian system with a small perturbation. We prove that a unique periodic orbit exists for any initial position between the… read more here.
Keywords: pendulum small; periodic orbit; small nonlinear; nonlinear damping ... See more keywords