Strong degenerate constraining in Lagrangian dynamics
Abstract
We study the strong constraining problem in Lagrangian dynamics in the degenerate codimension one case. This is the first time that degenerate potentials at the constraint are considered for this problem. Besides the total degenerate cases, these new results cover several real analytic potentials that the previous do not. Some counterintuitive effects of the degenerate constraining are discussed.
- Publication:
-
Nonlinearity
- Pub Date:
- October 2023
- DOI:
- 10.1088/1361-6544/acf17d
- arXiv:
- arXiv:2104.06549
- Bibcode:
- 2023Nonli..36.5358B
- Keywords:
-
- strong constraining;
- holonomic constraint;
- adiabatic invariant;
- weak convergence;
- Lagrangian dynamics;
- 70F20;
- 70G45;
- 70G70;
- 70H11;
- Mathematical Physics;
- Mathematics - Dynamical Systems;
- 70F20;
- 70G45;
- 70G70;
- 70H11