Multifractal dynamics in the emergence of cognitive structure

JA Dixon, JG Holden, D Mirman… - Topics in Cognitive …, 2012 - Wiley Online Library
The complex‐systems approach to cognitive science seeks to move beyond the formalism of
information exchange and to situate cognition within the broader formalism of energy flow …

Scaling in cognitive performance reflects multiplicative multifractal cascade dynamics

DG Stephen, JR Anastas, JA Dixon - Frontiers in physiology, 2012 - frontiersin.org
Self-organized criticality purports to build multi-scaled structures out of local interactions.
Evidence of scaling in various domains of biology may be more generally understood to …

The fractal brain: scale-invariance in structure and dynamics

GF Grosu, AV Hopp, VV Moca, H Bârzan… - Cerebral …, 2023 - academic.oup.com
The past 40 years have witnessed extensive research on fractal structure and scale-free
dynamics in the brain. Although considerable progress has been made, a comprehensive …

Endogenous multifractal brain dynamics are modulated by age, cholinergic blockade and cognitive performance

J Suckling, AM Wink, FA Bernard, A Barnes… - Journal of neuroscience …, 2008 - Elsevier
The intuitive notion that a healthy organism is characterised by regular, homeostatic function
has been challenged by observations that a loss of complexity is, in fact, indicative of ill …

Executive function as an interaction-dominant process

JR Anastas, DG Kelty-Stephen, JA Dixon - Ecological Psychology, 2014 - Taylor & Francis
Traditional theories of psychology define the cognitive system as composed of insular,
encapsulated components, controlled by a central executive. An alternative hypothesis …

Fractal structure and entropy production within the central nervous system

AJE Seely, KD Newman, CL Herry - Entropy, 2014 - mdpi.com
Our goal is to explore the relationship between two traditionally unrelated concepts, fractal
structure and entropy production, evaluating both within the central nervous system (CNS) …

Interaction-dominant dynamics in human cognition: Beyond 1/ƒα fluctuation.

EAF Ihlen, B Vereijken - Journal of Experimental Psychology …, 2010 - psycnet.apa.org
It has been suggested that human behavior in general and cognitive performance in
particular emerge from coordination between multiple temporal scales. In this article, we …

Monofractal and multifractal dynamics of low frequency endogenous brain oscillations in functional MRI

AM Wink, E Bullmore, A Barnes, F Bernard… - Human brain …, 2008 - Wiley Online Library
Fractal processes, like trees or coastlines, are defined by self‐similarity or power law scaling
controlled by a single exponent, simply related to the fractal dimension or Hurst exponent …

A Review of Theoretical Perspectives in Cognitive Science on the Presence of 1/f Scaling in Coordinated Physiological and Cognitive Processes

ML Wijnants - Journal of Nonlinear Dynamics, 2014 - Wiley Online Library
Time series of human performances present fluctuations around a mean value. These
fluctuations are typically considered as insignificant, and attributable to random noise. Over …

Multifractality versus (mono-) fractality as evidence of nonlinear interactions across timescales: Disentangling the belief in nonlinearity from the diagnosis of …

DG Kelty-Stephen, S Wallot - Ecological Psychology, 2017 - Taylor & Francis
This article addresses the still popular but incorrect idea that monofractal (sometimes called
“fractal” for short) structure might be a definitive signature of nonlinearity and, as a corollary …