On Periodic Solutions to Lagrangian System With Singularities
Oleg Zubelevich
TL;DR
This paper investigates periodic solutions in a Lagrangian system with singularities, where the configuration space varies over time, providing new insights into such complex dynamical systems.
Contribution
It introduces a method to find periodic solutions in Lagrangian systems with time-dependent non-compact configuration spaces and singularities.
Findings
Existence of a set of periodic solutions identified.
Method applicable to systems with time-dependent configuration spaces.
Advances understanding of dynamics with singularities.
Abstract
A Lagrangian system with singularities is considered. The configuration space is a non-compact manifold that depends on time. A set of periodic solutions has been found.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsDifferential Equations and Numerical Methods · Advanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations