Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators
Peer reviewed, Journal article
Published version
Permanent lenke
https://hdl.handle.net/11250/3112340Utgivelsesdato
2022Metadata
Vis full innførselSamlinger
- Institutt for matematiske fag [2474]
- Publikasjoner fra CRIStin - NTNU [38294]
Sammendrag
Since their introduction, Lie group integrators have become a method of choice in many application areas. Various formulations of these integrators exist, and in this work we focus on Runge-Kutta-Munthe-Kaas methods. First, we briefly introduce this class of integrators, considering some of the practical aspects of their implementation, such as adaptive time stepping. We then present some mathematical background that allows us to apply them to some families of Lagrangian mechanical systems. We conclude with an application to a nontrivial mechanical system: the N-fold 3D pendulum.