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  3. Multifractality In Critical Neural Field Dynamics.
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  3. Multifractality In Critical Neural Field Dynamics.

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Multifractality in critical neural field dynamics.

Merlin Dumeur1,2,3, Sheng H Wang1,2,3,4, J Matias Palva3,4,5

  • 1Paris-Saclay University, DRF, CEA, Joliot, NeuroSpin, Gif-sur-Yvette, France.

Physical Review. E
|June 19, 2026

View abstract on PubMed

Summary
This summary is machine-generated.

The brain

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Area of Science:

  • Neuroscience
  • Complex Systems

Background:

  • The brain's critical dynamics are often described by self-similarity.
  • Experimental data indicate significant multifractality in brain activity.
  • A gap exists in understanding multifractality's emergence in critical systems.

Purpose of the Study:

  • To investigate the emergence of multifractality in neural field models near criticality.
  • To explore the relationship between neural oscillations, phase transitions, and multifractal dynamics.
  • To provide a theoretical framework for interpreting multifractality in neural recordings.

Main Methods:

  • Utilized a neural field model with neural oscillations.
  • Simulated critical phase transitions within the model.
  • Analyzed the emergence and variation of multifractality near these transitions.

Main Results:

  • Multifractality was observed to emerge near a synchronization phase transition.
  • The pattern of multifractality varied depending on the specific phase transition.
  • The findings demonstrate multifractality in temporal dynamics near criticality in neural fields.

Conclusions:

  • Multifractality naturally arises in neural field models at criticality.
  • This provides a formal basis for understanding multifractal brain dynamics.
  • The study bridges theoretical models and experimental observations of brain complexity.