Abstract
We consider-periodic solutions of Hamiltonian systems in Euclidean spaces whose motion is constrained to a submanifold M. We prove that under some nondegeneracy assumptions, periodic solutions persist when the constraint is replaced by a strong restoring potential.
Original language | English (US) |
---|---|
Pages (from-to) | 572-585 |
Number of pages | 14 |
Journal | Journal of Differential Equations |
Volume | 186 |
Issue number | 2 |
DOIs | |
State | Published - Dec 10 2002 |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics