Dynamic Compatibility and Reorganization Across Nonlinear Systems

This study investigates whether structurally different nonlinear systems may exhibit comparable compatibility-dependent reorganization signatures across chaotic, oscillatory, adaptive, collective, and distributed lattice regimes. The analyzed systems include Lorenz, Rossler, Duffing, Van der Pol, Kuramoto, Stuart-Landau, and coupled map lattice dynamics. Comparative analyses were supported by bootstrap resampling, shuffle randomization, surrogate or null controls, endpoint-aware robustness procedures, normalized overlays, and cross-system persistence metrics. Observed signatures included persistence enhancement, reduced transition activity, local stabilization, synchronization restructuring, metastability, adaptive recovery, and distributed collective organization. The framework is interpreted as operational and comparative rather than universal or ontological. Related work: Emergent Organization in a Minimal Selection Model: Robust Reorganization and the Limits of Global Stability. DOI : 10.5281/zenodo.19563941