Multis tability Analysis: High-Order NetworksDo Not Imply Greater Storage Capacity Than First-Order Ones

摘要

This paper presents new multistability of the networks with high-order interconnection. We construct invariant regions and establish new criteria of coexistence of equilibria which are exponentially stable. Our results show that high-order interactions of neurons may have lower storage capacity than first-order ones. Numerical simulations will illustrate our new and interesting results.