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