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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
Summary
The brain
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.

