Explicit Second-Order Bounds on the Domain of Validity for Lyapunov-Schmidt Reduction

arXiv:2609.24717 · eess.SY, cs.SY · Submitted 2026-09-21 · Read on arXiv

eess.SY, cs.SY

Submitted: 2026-09-21

Updated: 2026-09-21

Terminology

• Degeneracy — 5× in this paper · explained in 3 episodes
• Adjacency Matrix — 4× in this paper · explained in 1 episode
• Bifurcation Analysis — 2× in this paper · explained in 2 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Activation Function — 1× in this paper · explained in 1 episode
• Limit Cycles — 1× in this paper · explained in 2 episodes
• Stochastic Dynamics — 1× in this paper · explained in 2 episodes

Sources

• A Realization Theory for Bio-inspired Collective Decision-Making
• Bounds of Validity for Bifurcations of Equilibria in a Class of Networked Dynamical Systems

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