Consider a general neurodynamic system with an unspecified dependence on internal dynamic parameters, external dynamic stimuli, and state variables.The system is defined by the state equations

where the matrix W represents the internal dynamic parameters of the system, the vector u represents the external dynamic stimuli, and x is the state vector whose jth element is denoted by xj. Assume that trajectories of the system converge onto point attractors for values of W, u, and initial states x(0) in some operating region of the state space (Pineda, 1988b). Discuss how the system described here may be used for the following applications:

(a) a continuous mapper, with u as input and x(∞) as output;

(b) an autoassociative memory, with x(0) as input and x(∞) as output.