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Enlargement of a low-dimensional stochastic web

By Stanislav M. Soskin, I. A. Khovanov, R. Mannella and P. V. E. McClintock

Abstract

We consider an archetypal example of a low-dimensional stochastic web, arising in a 1D oscillator driven by a plane wave of a frequency equal or close to a multiple of the oscillator’s natural frequency. We show that the web can be greatly enlarged by the introduction of a slow, very weak, modulation of the wave angle. Generalizations are discussed. An application to electron transport in a nanometre-scale semiconductor superlattice in electric and magnetic fields is suggested

Publisher: American Institute of Physics
Year: 2009
OAI identifier: oai:eprints.lancs.ac.uk:31246
Provided by: Lancaster E-Prints

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Citations

  1. (1961). Asymptotic Methods in the Theory of Nonlinear Oscillators,
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  3. (1991). Weak Chaos and Quasi-Regular Patterns, doi

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