Neural network model for path-finding problems with the self-recovery property

Kei Ichi Ueda, Keiichi Kitajo, Yoko Yamaguchi, Yasumasa Nishiura

Research output: Contribution to journalArticlepeer-review

Abstract

The large-scale synchronization of neural oscillations is crucial in the functional integration of brain modules, but the combination of modules changes depending on the task. A mathematical description of this flexibility is a key to elucidating the mechanism of such spontaneous neural activity. We present a model that finds the loop structure of a network whose nodes are connected by unidirectional links. Using this model, we propose a path-finding system that spontaneously finds a path connecting two specified nodes. The solution path is represented by phase-synchronized oscillatory solutions. The model has the self-recovery property: that is, it is a system with the ability to find a new path when one of the connections in the existing path is suddenly removed. We show that the model construction procedure is applicable to a wide class of nonlinear systems arising in chemical reactions and neural networks.

Original languageEnglish
Article number032207
JournalPhysical Review E
Volume99
Issue number3
DOIs
Publication statusPublished - 2019 Mar 8

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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