We present some examples of detailed analysis of intrinsic localized modes in lattices. using the accurate numerical methods derived from the proof of existence of MacKay-Aubry. We report on some improvements on the methods. which are then used to the fullest to obtain the Floquet analysis of the b
Linearity stabilizes discrete breathers
β Scribed by T R KRISHNA MOHAN; SURAJIT SEN
- Book ID
- 107589078
- Publisher
- Springer-Verlag
- Year
- 2011
- Tongue
- English
- Weight
- 368 KB
- Volume
- 77
- Category
- Article
- ISSN
- 0304-4289
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Discrete breathers are time-periodic, spatially localized solutions of equations of motion for classical degrees of freedom interacting on a lattice. They come in one-parameter families. We use recent results of Flach et al. (I 997) on d-dimensional systems with local interaction and recent results
We describe some simple physical models where discrete breathers (nonlinear localised modes in a lattice) exist together with spatial disorder. As the models are translation invariant, both spatial localisation and spatial disorder are only due to the interplay of nonlinearity and discreteness. This