The article proposes a method for solving the problem of sound recognition, produced by the motor and blades of the UAV, as well as the detection of its location, to adjust the trajectory of motion in order to avoid a collision. The methods of analysis and the system of coefficients of the audio stream are considered. Algorithms for preliminary signal processing and selection of criteria are given.

Simulation of a mobile object stochastic trajectory on the basis of the fractal Wiener process taking into account the Hurst indicator is offered. For numerical realization of this process the wavelet based decomposition is used. The peculiarities of trajectory parameters estimation by using the Kalman filter and the synthetic algorithms of nonlinear filtering are considered. An example of the object motion in a spherical system of coordinates is reviewed in the absence of its motion in the vertical plane. The state vector of the object is estimated by using nonlinear measurements of polar range and azimuth coordinates from a two-coordinate radar station.

The decomposition synthetic approach is considered for solving the problem of optimal nonlinear filtering of dynamic processes. Decomposition structures are applied as filters with growing memory based on artificial neural networks, fuzzy logic systems, wavelets, and combinations thereof. The solution of the nonlinear problem of estimation shows that using synthetic systems of decomposition aids to achieve high estimation accuracy wherein the learning speed of these systems is much higher than that of initial decomposition-free ones.The regularities of speed increase while using decomposition are obtained.

В рамках модели социальной динамики, определяемой коллективными решениями в стохастической среде, рассматривается случай однородного общества, состоящего из рациональных экономических агентов (эгоистов). Получены явные выражения для оптимального порога голосования (квоты) и соответствующего максимального ожидаемого прироста капитала в зависимости от параметров окружающей среды. Полученные результаты свидетельствуют о том, что при наступлении неблагоприятных внешних факторов порог голосования следует повышать, а при улучшении условий - снижать.

The dynamical model containing coupled identical subsystems is considered. A subsystem is supposed to admit of a family of periodic solutions with the period being a monotonic function of a single numerical parameter. Conditions to be imposed on couplings such that the whole system admits a family Σ of periodic motions similar to that of a subsystem are found. An orbitally asymptotically stable cycle is distinguished in Σ.