Adaptive synchronization in the complex heterogeneous networks of Hindmarsh–Rose neurons

Результат исследований: Научные публикации в периодических изданияхстатьярецензирование

3 Цитирования (Scopus)

Аннотация

This paper is devoted to the adaptive synchronization problem in the heterogeneous Hindmarsh–Rose neuronal networks. Heterogeneity is a natural property of biological neuronal networks, as each neuron has its own physiological characteristics, which may differ from other neurons within the population. Therefore, the study of the effect of heterogeneity on the synchronization in the biological neuronal network is an important problem. In order to solve this problem, the ultimate boundedness of the network trajectories is established, and also the limit set is defined for these trajectories. Based on the boundedness analysis and the Speed Gradient method, the adaptive algorithm for adjusting the coupling strength is developed. It is proved mathematically that the developed algorithm provides synchronization in the network under study. The obtained theoretical results are confirmed by the simulations.

Язык оригиналаанглийский
Номер статьи111170
ЖурналChaos, Solitons and Fractals
Том150
DOI
СостояниеОпубликовано - сен 2021

Предметные области Scopus

  • Статистическая и нелинейная физика
  • Математика (все)
  • Физика и астрономия (все)
  • Прикладная математика

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