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Нелокальная реакционно-диффузионная динамика формирования крестообразных двумерных диссипативных структур

Нелокальная реакционно-диффузионная динамика формирования крестообразных двумерных диссипативных структур

Abstract

Численными методами получены двумерные крестообразные диссипативные структуры, описываемые реакционно-диффузионным уравнением Фишера-Колмогорова-Петровского-Пискунова с нелокальным взаимодействием и начальным распределением, локализованным в окрестности четырех центров. Исследовано изменение формы структуры в зависимости от расположения центров локализации и параметров уравнения.

The cross-shaped two-dimensional dissipative structures described by the Fisher-Kolmogorov-Petrovsky-Piskunov reaction-diffusion equation with nonlocal interaction and initial distribution localized around four centers have been numerically obtained. A structure form variation is considered subject to arrangement of the centers and equation parameters.

Keywords

реакция-диффузия, нелокальные взаимодействия, популяционная динамика, модель фишера-колмогорова-петровскогопискунова, диссипативные структуры

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average