2026/03/16 by Bernd von Mallinckrodt · 1 voice
Environmental Science · Physics and Astronomy · Computer Science · #Ecosystem dynamics and resilience #Complex Systems and Dynamics #Chaos, Complexity, and Education
paper · doi:10.5281/zenodo.19046702
openalex publication_date 2026/03/16 · openalex created_date 2026/03/17 · openalex updated_date 2026/07/01
This paper introduces and positions the Singularization Framework, a conceptual model for collapse dynamics in complex adaptive systems. The framework proposes that systemic collapse is driven primarily by endogenous structural compression and the progressive loss of adaptive resonance, rather than by external shocks alone. Central contributions include: (1) The Mallinckrodt Cycle — a five-phase lifecycle model (Expansion, Integration, Compression, Brittleness, Collapse/Singularization) extending Holling's adaptive cycle by disaggregating the conservation phase into diagnostically distinct sub-phases. (2) Adaptive Resonance as a stabilizing mechanism — the system's capacity to maintain oscillatory adaptability across its configuration space. (3) Resonance Collapse as a novel collapse category distinct from bifurcation-based tipping points. (4) The Compression–Resonance–Tension Index (CRTI) — a proposed three-dimensional early-warning diagnostic operating at Phase III, prior to the bifurcation point detected by existing indicators. The framework is positioned against Holling's Panarchy, Scheffer's critical transitions theory, Truong et al.'s entropy collapse model (arXiv:2512.12381), Taleb's antifragility, and Kauffman's NK models. Three structural gaps in existing literature are identified and addressed. Classification: Known components, new synthesis — with substantive novelty in the Resonance Collapse mechanism and CRTI diagnostic concept. complex systemsstructural compressionadaptive capacityresonance collapsesingularizationCRTIMallinckrodt Cyclecollapse dynamicscomplex adaptive systemsearly warning signalspanarchycritical transitionsentropy collapseresilience theoryconfiguration space