Abstract
The existence of several small planar travelling waves with arbitrary direction of propagation is shown for two-dimensional cubic networks of oscillators with linear nearest-neighbour coupling. The analysis is based on a spatial dynamics reformulation of the relevant advance-delay equation. Whereas important aspects of the analysis are discontinuous in the direction of travel, and continuity of the travelling wave is shown with respect to the direction.
| Original language | English |
|---|---|
| Pages (from-to) | 157-170 |
| Number of pages | 14 |
| Journal | Dynamical Systems: An International Journal |
| Volume | 24 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2009 |
Keywords
- breathers
- pasta-ulam lattice
- nonlinear oscillators
- normal forms
- centre manifold theory
- solitary waves
- discrete
- chain
- travelling waves
- advance-delay equation
- lattice dynamics
- infinite-dimensional Hamiltonian dynamics
- fpu lattices