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Asymptotic behaviour of a two-dimensional differential system with delay under the conditions of instability

✍ Scribed by Josef Kalas


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
239 KB
Volume
62
Category
Article
ISSN
0362-546X

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Asymptotic behaviour of a two-dimensiona
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## Abstract The asymptotic behaviour and stability properties are studied for a real two‐dimensional system __x__^β€²^(__t__) = A(__t__)__x__ (__t__) + B(__t__)__x__ (__ΞΈ__ (__t__)) + __h__ (__t__, __x__ (__t__), __x__ (__ΞΈ__ (__t__))), with a nonconstant delay __t__ ‐ __ΞΈ__ (__t__) β‰₯ 0. It is suppos

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An instability condition is derived for the Hartree-Fock solution so that it can be applied to the system in which the highest occupied and the lowest unoccupied bands cross at the in-between point in the Brillouin zone. The instability check developed here is further applied to a metallic single-wa