AUTHOR=Gross Thilo TITLE=Not One, but Many Critical States: A Dynamical Systems Perspective JOURNAL=Frontiers in Neural Circuits VOLUME=15 YEAR=2021 URL=https://www.frontiersin.org/journals/neural-circuits/articles/10.3389/fncir.2021.614268 DOI=10.3389/fncir.2021.614268 ISSN=1662-5110 ABSTRACT=

The past decade has seen growing support for the critical brain hypothesis, i.e., the possibility that the brain could operate at or very near a critical state between two different dynamical regimes. Such critical states are well-studied in different disciplines, therefore there is potential for a continued transfer of knowledge. Here, I revisit foundations of bifurcation theory, the mathematical theory of transitions. While the mathematics is well-known it's transfer to neural dynamics leads to new insights and hypothesis.