Symbols | Definition |
t | discrete time steps |
| set of real numbers |
| ith internal state variable at t |
N | number of the Gaussian maps in the coupled network |
| symmetric auto-associative matrix |
p | number of the stored patterns |
, , and | system parameters of the Gaussian associative memory |
| ith pixel of kth input binary pattern with a discrete value of zero or one |
| correction coefficient corresponding to ith classified group |
|
|
| fixed point of function |
|
|
| Jacobian matrix of function |
| characteristic multipliers or eigenvalues of |
I | 16 × 16 Identity matrix |
| intersection of and the direct sum of the generalized eigenspaces of |
|
|
| completely stable fixed point |
| “directly” unstable fixed point |
| “inversely” unstable fixed point |
P1, P2, P3, and P4 | stored patterns with 10 × 10 pixels |
Pr1, Pr2, Pr3, and Pr4 | reduced patterns of stored patterns with 4 × 4 pixels |
| tangent bifurcation of m-periodic point |
| period-doubling bifurcation of m-periodic point |