Attractor Diversity Stabilization in Neuromorphic-Inspired
Abstract
Mem4ristor v3.2.0 — Adaptive Coupling & Frustration-Driven Diversity We present a modified FitzHugh-Nagumo oscillator network with a third state variable, doubt (u), that modulates coupling polarity via a Levitating Sigmoid kernel tanh(π(0.5−u)) + δ. Combined with heretic nodes (inverted stimulus polarity) and Gaussian noise, this mechanism sustains multi-state attractors from homogeneous initial conditions. KEY RESULTS:- Regular lattices (2D periodic, N=100): sustained attractor entropy H_cog ≈ 0 with current KIMI bins (±0.4/1.2) under default parameters (I_stim=0). Historical H_stable ≈ 0.92 reported with pre-KIMI bins (±0.8/1.5); see limitations.md for reconciliation.- Scale-free networks (Barabási-Albert): phase transition at m ≈ 5 where ALL coupling normalizations converge to consensus (dead zone). Degree-linear normalization recovers diversity for m ≤ 3.- Hardware validation: SPICE RMS error
Fields of Study & Subjects
Nonlinear Dynamics and Pattern Formation
Chaos control and synchronization
Neural dynamics and brain function
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 12 February 2026
- Language
- EN
- Document type
- Preprint