GUANHUA YU

Three-Node Shared-Edge Network under Double-Ended Correlated Load

We study a three-node network with six independent directed edges and double-ended correlated load. Under node-permutation symmetry S_3, the twelve-dimensional state space decomposes as \mathbb{R}^{12}=3\cdot\mathbf{1}\oplus\mathrm{sgn}\oplus 4\cdot V_{\mathrm{std}}. The trivial...

Structural Drift and Projective Dynamics

We refine the notion of structural freedom by replacing the dimension count D_{\rm bi}(f) with a projective object: the orthogonal projector \Pi_L(x) onto the local allowed-perturbation subspace L_x=\ker J_x. This upgrade exposes a three-level structure of structural freedom: dim...

Structural Freedom and Dynamical Stability: A Branch of the Negative-Entropy Construction

We develop a branch of the Negative-Entropy Construction that formalizes the notion of structural freedom in constrained network flow systems. Given a network with conservation law Bf=0, central constraints Af=0, and capacity bounds 0\le f\le C, we define the bidirectional local...