Problems of differential and topological diagnostics. Part 5. The case of trajectorial measurements with error

Proposed work is the fifth work of the cycle on differential and topological diagnostics. The article gives an estimate of the errors method of direction fields in the case of not accurate trajectory measurements, but trajectory measurements with an error are limited by the modulus of a given a smooth function of time, and in case this error is a random variable distributed according to the normal law with fixed parameters. We show that in these more complex cases, you can specify the “best” number of required trajectory measurements, in which the proposed algorithms of diagnostics will work constructively, and the malfunction will be determined unambiguously.