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Not One, but Many Critical States: A Dynamical Systems Perspective

Thilo Groß

2021Frontiers in Neural Circuits22 citationsDOIOpen Access PDF

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.

Topics & Concepts

Dynamical systems theoryPerspective (graphical)Bifurcation theoryStatistical physicsCognitive scienceBifurcationNeurosciencePsychologyComputer sciencePhysicsArtificial intelligenceNonlinear systemQuantum mechanicsNeural dynamics and brain functionstochastic dynamics and bifurcationEcosystem dynamics and resilience