Abstract
The article suggests using elements described by a special potential function as elements of a neural network. The article describes the features and characteristics of a potential function that has an output signal close to a real physiological neuron. The description and structure of a neural network is given, the elements of which are described by a special potential function. To study the neural network and configure its elements, a mathematical apparatus of tensor calculus is proposed. The article describes the possibility of using the proposed neural network for recognizing and finding areas with specified parameters on a complex spatial surface. As an example, we describe the procedure for determining an area on a complex surface that has the specified geometric and qualitative characteristics.
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