Синхронизация и образование структур в сложных осцилляторных ансамблях: колебания на нескольких временных масштабах, нерегулярная топология связи
Диссертация
В данной главе были исследованы процессы десинхронизации и структурообразования в сложных осцилляторных сетях с неодородными асимметричными связями. Известно, что при нарушении глобальной фазовой синхронизации (вызванном, например, уменьшением силы связи) в регулярных и неругулярпых ансамблях наблюдается образование структур (кластеров) синхронизации. Разбиение всей сети на кластеры определяется… Читать ещё >
Содержание
- 1. АНАЛИЗ СИНХРОНИЗАЦИИ В СИСТЕМАХ С «МНОГОМАСШТАБНЫМ» ХАОСОМ
- 1. 1. Объединение временных масштабов
- 1. 2. Разделение временных масштабов
- 1. 3. Синхронизация лазеров в режиме генерации беретов
- L 1.4 Выводы
- 2. КОЛЛЕКТИВНЫЕ МЕХАНИЗМЫ ГЕНЕРАЦИИ КОЛЕБАНИЙ НА НОВОМ ВРЕМЕННОМ МАСШТАБЕ В АНСАМБЛЯХ НЕЙРОННЫХ ОСЦИЛЛЯТОРОВ
- 2. 1. Генерация беретов в цепочках спайковых нейронов
- 2. 2. Генерация беретов в ансамблях с химическими синапсами
- 2. 3. Генерация беретов в ансамблях со сложной топологией связей
- 2. 4. Генерация коллективных беретов модельными нейронами Ходжкина-Хаксли
- 2. 5. Выводы
- 3. СИНХРОНИЗАЦИЯ И ОБРАЗОВАНИЕ СТРУКТУР: КОНКУРЕНЦИЯ КОЛЕБАНИЙ НА РАЗЛИЧНЫХ ВРЕМЕННЫХ МАСШТАБАХ
- 3. 1. Взаимная синхронизация между колебаниями на различных временных масштабах
- 3. 2. Структуры синхронизации конкурирующих колебаний на нескольких временных масштабах
- 3. 3. Выводы
- 4. ДИНАМИЧЕСКИЙ АНАЛИЗ СТРУКТУРЫ СЛОЖНЫХ СЕТЕЙ
- 4. 1. Структура сложных сетей
- 4. 2. Нединамические методы анализа
- 4. 3. Кластерная синхронизация: динамический анализ
- 4. 4. Выводы
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