Abstract
The complex Hopfield model, i.e., with the complex-valued interconnections and the complex-valued vectors, is discussed. Computer simulations in comparison with the Hopfield model are given, which show that the complex Hopfield model can recall the entire complex-valued stored vector (including both the real part and the imaginary part) by only its real part or its imaginary part with high probability (> 95% according to the calculations). The second-order complex Hopfield model, and its computer simulations in comparison with the second-order Hopfield model are also presented.
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