English

Heteroclinic switching between chimeras

Adaptation and Self-Organizing Systems 2018-05-09 v3 Disordered Systems and Neural Networks Dynamical Systems Pattern Formation and Solitons

Abstract

Functional oscillator networks, such as neuronal networks in the brain, exhibit switching between metastable states involving many oscillators. We give exact results how such global dynamics can arise in paradigmatic phase oscillator networks: higher-order network interaction gives rise to metastable chimeras - localized frequency synchrony patterns - which are joined by heteroclinic connections. Moreover, we illuminate the mechanisms that underly the switching dynamics in these experimentally accessible networks.

Keywords

Cite

@article{arxiv.1703.03274,
  title  = {Heteroclinic switching between chimeras},
  author = {Christian Bick},
  journal= {arXiv preprint arXiv:1703.03274},
  year   = {2018}
}
R2 v1 2026-06-22T18:41:03.635Z