This work presents a theoretical framework for structural evolution in coupled nonlinear networks. We model the system as an ecology of interacting subnetworks of globally coupled oscillators subject to sequential energetic perturbations. Each subnetwork adapts via endogenous phase space expansion, which acts as an internal heat sink and enables phase synchronization. We show that this adaptive mechanism operates within effective dynamical limits. When these limits are exceeded, a subnetwork undergoes structural dissolution, approaching a highly mixed state. The conserved energy of the dissolved structure is redistributed across the network, inducing strong parametric drives in adjacent subnetworks. This process generates avalanche-like dynamics in which surviving subnetworks expand, absorb redistributed energy, and condense into new macroscopic coherent states that can exhibit increased effective inertia. The results suggest a possible mechanism by which interconnected systems leverage localized structural failure to drive the emergence of complexity and adaptive robustness.
Claudia Attaianese (Thu,) studied this question.