Образец для цитирования:

Бух А. В., Стрелкова Г. И., Анищенко В. С. Спирально-волновые структуры в двухслойных двумерных решетках нелокально связанных дискретных осцилляторов. Синхронизация спирально-волновых химерных состояний // Известия Саратовского университета. Новая серия. Серия Физика. 2019. Т. 19, вып. 3. С. 166-177. DOI: https://doi.org/10.18500/1817-3020-2019-19-3-166-177


УДК: 
53.01:51-73
Язык публикации: 
английский

Спирально-волновые структуры в двухслойных двумерных решетках нелокально связанных дискретных осцилляторов. Синхронизация спирально-волновых химерных состояний

Аннотация

Описывается пространственно-временная динамика решетки, представляющей собой двумерную сеть нелокально связанных отображений Некоркина, моделирующих нейронную активность. Поведение сети изучается в случаях граничных условий без потока и периодических граничных условий. Показано, что в рассматриваемой решетке для определенных значений параметров связи могут наблюдаться вращающиеся спиральные волны и спирально-волновые химерные состояния. Анализируются и сравниваются статистические и динамические характеристики локальных осцилляторов из когерентных и некогерентных кластеров спирально-волнового химерного состояния. Более того, изучаются эффекты взаимной и внешней синхронизации спирально-волновых структур в двух связанных таких решетках. Численно показано, что спирально-волновые структуры, включая спирально-волновые химерные состояния, могут быть синхронизованы, и показан механизм их синхронизации. Результаты численных исследований свидетельствуют о том, что при достаточно малом значении параметра силы связи между решетками только некоторая часть осцилляторов синхронизуется, тогда как другая часть демонстрирует частично синхронное поведение. Синхронизация осуществляется для большинства осцилляторов в случае, когда пространственно-временные структуры в решетках не включают некогерентных ядер и значение параметра силы связи превышает некоторое пороговое значение. В режимах спиральнов-волновых химерных состояний режим синхронизации не достигается для всех осцилляторов, даже если значение параметра силы связи достаточно велико.

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