... The optimal control, which led oscillatory system to a certain energy level from any initial conditions at minimum time, is found. ... A set of points where the trajectory becomes an arc of a circle with the other center is called the switching line. ... For drawing switching line near the origin (see for example Figure 3) we note from the system (1) that time is proportional to the sum of the angles 214 this sums for optimal and quasi-optimal processes. ... The control function (14) is not optimal....

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• http://belyakov.imec.msu.ru/papers/ThesisBelyakov.pdf
• http://belyakov.imec.msu.ru/papers/0910.3802.pdf
• http://belyakov.imec.msu.ru/papers/Belyakov_eng.pdf

Discrete mechanics: a kinematics for a particular case of causal sets arXiv:1008.5169v1 [gr-qc] 30 Aug 2010 Alexey L. Krugly Abstract The mo del is a particular case of causal set. ... There are two elementary pro cesses. ... These two elementary pro cesses are called monads [13]. ... Consider the set G of monads and a binary relation (an immediate causal priority) over this set. ... Pro of: Two monads are connected by an immediate causal priority if they are included in the same edge or x-structure. ...

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... Three representative parameters characterizing the solar activity are sunspot number (W), 10.7cm radio solar flux (F10.7) and mean solar magnetic field value (SF). ... Practically persistent time series of these parameters are appropriate data sets for modelling and forecasting by means of Artificial Neural Networks (ANN). Methods of optimization of ANN input data sets and selection of training, testing and examination sets are discussed in the paper. ...

307. http://heritage.sai.msu.ru/ucheb/Knyazev/Lect_N2.ps