Intrinsic localized modes in complex lattice dynamical systems
✍ Scribed by D. Bonart; T. Rössler; J.B. Page
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 374 KB
- Volume
- 113
- Category
- Article
- ISSN
- 0167-2789
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✦ Synopsis
We present an analysis of intrinsic localized modes (ILMs) in complex dynamical systems including chains with long-rungc Coulomb-interactions, resonant coupling and strong cubic anharmonicity. Applicability and limitations of'the envelope soliton description are discussed.
📜 SIMILAR VOLUMES
A discussion is given of the theory of intrinsic localized modes ILM for nonlinear waveguide impurities in photonic crystals. Particular attention is made to the determination of the dispersion relation of propagating ILM modes. Both evenand odd-parity ILM modes are considered.
## Communicated by B. Brosowski For a class of one-dimensional lattice dynamical systems we prove the existence of periodic travelling waves with prescribed speed and arbitrary period. Then we study asymptotic behaviour of such waves for big values of period and show that they converge, in an appr