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Titlebook: Disorder and Nonlinearity; Proceedings of the W Alan R. Bishop,David K. Campbell,Stephanos Pnevmat Conference proceedings 19891st edition S

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https://doi.org/10.1007/978-3-642-74893-6Disorder; Localization; Nonlinearity; Solitons; chaos; deterministic chaos; dynamics; electron; fields; hydro
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978-3-642-74895-0Springer-Verlag Berlin Heidelberg 1989
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Nonlinearity and Localization in One-Dimensional Random Mediae threshold intensity needed for optical bistability is found for homogeneous media as a function of length. In the random case localization is affected and estimates of the energy growth are derived for large lengths with fixed output. Comparisons of the theory and numerical simulations are presented.
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A New Look at Hopping, Trapping and Anderson Localisationmong a random distribution of localised electronic states. We then show how these techniques can be used to study the Anderson transition starting from a generalised master equation with a nearest neighbour memory function.
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