Attractor Topology and State Engineering in a Non-Equilibrium Density-Feedback Plasma

Density-dependent charging has been proposed as a mechanism capable of coupling the microscopic topology of a dusty plasma to macroscopic mechanical dynamics. However, the dynamical consequences of this feedback near the onset of instability remain poorly understood. This research investigates a deterministic Yukawa plasma consisting of N = 128 harmonically confined particles whose charge magnitudes evolve continuously as a function of local particle density. High-resolution ensemble sweeps reveal that the coupling parameter beta governs a tripartite dynamical phase space, with a distinct coexistence window emerging between beta = 0.110 and 0.130. Within this region, the system develops persistent long-lived states: a compact charged core, a self-sustaining pumped breathing manifold, and a structurally dissociated state. Both the compact and pumped states remain stable for O(10^5-10^6) integration steps. Using targeted structural perturbations and event-driven phase-space quenches, deterministic bidirectional state switching is demonstrated. The write operation relies on a pure structural squeeze with a critical threshold alphaw,c = 0.42 ± 0.05, triggering a density-driven Coulomb explosion into the pumped state. Conversely, the pumped manifold possesses a finite stability threshold characterised by a measurable critical quench amplitude alpha_c = 0.273 ± 0.038, allowing reproducible state erasure following runaway ignition events. These results show that deterministic density-feedback charging creates a controllable bifurcated dynamical landscape governed by measurable transition topology.