The Relational Stabilizer: Plastic Stability in Noisy Complex Systems

This work introduces the Coherent Oscillatory Regime (COR) as a foundational principle of biological organization. Using a minimal nonlinear dynamical model governed by a single global control parameter, it demonstrates that purposeful, adaptive behavior arises only within a bounded oscillatory regime. Below this regime, systems converge to rigid, non-adaptive states; above it, increasing complexity fragments coherence into chaos. The paper formalizes the Law of Coherent Organization, showing that biological, cognitive, and evolutionary function does not emerge from maximal complexity, but from minimal rhythmic coherence enforced by global constraints. A canonical bifurcation diagram is used to illustrate how global “traffic-light” constraints determine whether organization is effortless, compensatory, or impossible. Illustrative, non-prescriptive examples are included to demonstrate how this principle may reinterpret diverse biological phenomena without proposing clinical interventions. The framework is scale-independent and substrate-agnostic, offering a unifying lens for understanding health, dysfunction, adaptation, and persistence across living systems.