Entropy-Selective Inversion Control in Runaway Dynamical Systems
Abstract
This work presents a purely mathematical and control-theoretic framework for analyzing runaway behavior in complex dynamical systems. We introduce the concept of entropy-selective feedback inversion, a non-initiating control principle in which destabilizing feedback becomes active only after a system has entered a high-entropy, desynchronized regime. The model formalizes the coexistence of two dynamical basins: a coherent, stable regime that remains invariant under the proposed control, and a runaway regime characterized by self-amplification, phase lag, and entropy accumulation. A gated feedback term is shown to selectively suppress runaway attractors by amplifying internal contradiction and saturation effects, while leaving coherent trajectories mathematically unchanged. Importantly, no biological, chemical, or operational mechanisms are proposed or implied. The framework is presented exclusively at the level of abstract dynamical systems and control theory, and is intended for theoretical investigation, simulation, and cross-domain comparison. Potential applications include the study of pathological dynamics in biological systems, unstable agency in socio-technical systems, and runaway behavior in artificial or economic agents, without asserting feasibility or implementation. This work raises the question of whether certain classes of runaway systems may contain intrinsic self-limiting modes that emerge only beyond a critical loss of coordination, and invites further examination by qualified researchers within appropriate ethical and methodological boundaries.
Fields of Study & Subjects
Complex Systems and Dynamics
Chaos control and synchronization
Control and Stability of Dynamical Systems
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 11 January 2026
- Document type
- Preprint