self-organizing model

Hori’s Self-Organizing Model Theory and Application of Creative Activity Support p.59 ${\dot{q}}_{\lambda }=-k_{\lambda }{q}_{\lambda }+{\sum }_{\mu }{g}_{\mu \lambda }{\alpha }_{\mu }+F_{\lambda }$ ${\dot{\alpha }}_{\mu }=-\gamma {\alpha }_{\mu }+{\sum }_{\lambda }{h}_{\lambda \mu }{q}_{\lambda }+{\Gamma }_{\mu }$ $\mu$ and $\lambda$ ${\alpha }_{\mu }$ and $q_{\lambda }$

• $q_{\lambda }$ is an order parameter at the upper level that governs the behavior of the entire system
• ${\alpha }_{\mu }$ is the activity of the element at the lower level $k$ and $\gamma$.
• $k$ is the knowledge level attenuation coefficient
• $\gamma$ is the symbol-level attenuation factor

The second term is in essence an inner product, and if q and α are taken as vectors, g and h are matrix multiplication

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