ArticleScientific reports2026
Turing-driven spiral defect chaos with stationary spiral tips: universal criticality in a time-discrete oscillatory system.
Article in Scientific reports, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.
What it found
Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.
The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.
Who cites it
0 citing papers in PubMed.
No citing paper in PubMed yet.
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
2 authors.
Funding
Abstract
We report a breakthrough discovery of Turing-driven spiral defect chaos (SDC) governed by stationary nucleation sites in time-discrete oscillatory systems-a phenomenon defying classical instability paradigms. Unlike conventional SDC requiring spiral tip migration, this novel state features frozen spiral cores that trigger global chaos through random birth-death processes at fixed spatial coordinates while maintaining absolute immobility. Three universal critical behaviors emerge: (1) Spiral lifetimes follow scale-free power-law distributions with a fixed exponent ([Formula: see text]), independent of control parameters; (2) Spiral tip densities exhibit parameter-invariant scaling laws, collapsing onto a single master curve approximating normal distributions; (3) Self-organized criticality enables multiscale pattern coexistence. Theoretical analyses trace this to a Turing bifurcation, where diffusion destabilizes homogeneous periodic states into "static-source/dynamic-propagation" dissipative structures. This mechanism establishes a new paradigm: localized fluctuations at immobilized tips drive global chaos-resolving the paradox of motionless yet destructive spiral cores. Our findings provide fundamental insights for designing cardiac defibrillators exploiting stationary spiral sources and forecasting ecological invasion fronts dominated by critical fluctuations.
Identifiers
What OpenQuestion holds
Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.