Abstract
We consider a circular chain of N particles with nearest neighbour interaction. Under a condition which is generically fulfilled all periodic solutions near a normal mode frequency are obtained and their symmetry properties are investigated. The genericity condition is explicitly evaluated for a three particle system.
Original language | English |
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Pages (from-to) | 207-222 |
Number of pages | 16 |
Journal | Japan Journal of Applied Mathematics |
Volume | 3 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Dec 1986 |
Keywords
- Circular chain
- Hopf bifurcation
- Standing waves
- Symmetry
- Travelling waves