Turing's cascade instability supports the coordination of the mind, brain, and behavior

DG Kelty-Stephen, M Mangalam - Neuroscience & Biobehavioral Reviews, 2022 - Elsevier
Turing inspired a computer metaphor of the mind and brain that has been handy and has
spawned decades of empirical investigation, but he did much more and offered behavioral …

Older adults and individuals with Parkinson's disease control posture along suborthogonal directions that deviate from the traditional anteroposterior and mediolateral …

M Mangalam, DG Kelty-Stephen, I Seleznov… - Scientific Reports, 2024 - nature.com
A rich and complex temporal structure of variability in postural sway characterizes healthy
and adaptable postural control. However, neurodegenerative disorders such as Parkinson's …

Multifractal descriptors ergodically characterize non-ergodic multiplicative cascade processes

DG Kelty-Stephen, M Mangalam - Physica A: Statistical Mechanics and its …, 2023 - Elsevier
Biological and psychological processes routinely break ergodicity, meaning they fail to have
stable means (M ean) and independent variation over time that we might find in additive …

Postural control in gymnasts: Anisotropic fractal scaling reveals proprioceptive reintegration in vestibular perturbation

M Mangalam, I Seleznov, E Kolosova… - Frontiers in Network …, 2024 - frontiersin.org
Dexterous postural control subtly complements movement variability with sensory
correlations at many scales. The expressive poise of gymnasts exemplifies this lyrical …

Multifractal perturbations to multiplicative cascades promote multifractal nonlinearity with asymmetric spectra

M Mangalam, DG Kelty-Stephen - Physical Review E, 2024 - APS
Biological and psychological processes have been conceptualized as emerging from
intricate multiplicative interactions among component processes across various spatial and …

Machine-learning classification with additivity and diverse multifractal pathways in multiplicativity

M Mangalam, H Seckler, DG Kelty-Stephen - Physical Review Research, 2024 - APS
Evidence of multifractal structures has spread to a wider set of physiological time series
supporting the intricate interplay of biological and psychological functioning. These …

Angular distribution of fractal temporal correlations supports adaptive responses to wobble board instability

B Schlattmann, K Kiyono… - Journal of the …, 2025 - royalsocietypublishing.org
Contemporary dynamical models of human postural control propose an intermittent
controller regulating the postural centre of pressure (CoP) about a stable saddle-shaped …

Multifractal nonlinearity moderates feedforward and feedback responses to suprapostural perturbations

DG Kelty-Stephen, J Lee, KR Cole… - … and motor skills, 2023 - journals.sagepub.com
An adaptive response to unexpected perturbations requires near-term and long-term
adjustments over time. We used multifractal analysis to test how nonlinear interactions …

Additivity suppresses multifractal nonlinearity due to multiplicative cascade dynamics

DG Kelty-Stephen, M Mangalam - Physica A: Statistical Mechanics and its …, 2024 - Elsevier
An enduring controversy in biological and psychological sciences has centered on the
tension between the role of random multiplicative cascade processes and the sometimes …

Hypothetical control of postural sway

M Mangalam, DG Kelty-Stephen - Journal of the Royal …, 2021 - royalsocietypublishing.org
Quiet standing exhibits strongly intermittent variability that has inspired at least two
interpretations. First, variability can be intermittent through the alternating engagement and …