Rapin V. Theoretical bases of nonautonomous oscillator systems with argumental phase feedback

Object of research is a process of synchronization of oscillator systems by a periodic signal; a research aim is increasing of exchange information speed, noise stability, sensitivity of radio engineering devices, means of telecommunications and measuring equipment by using of oscillator systems with argumental phase feedback; research methods - methods of the theory of electric chains, the nonlinear theory of electric oscilations, in particular, methods of averaging, the theory of stability, small parameter method, and also methods of the theory of usual differential equations, theory of approximation of functions, theory of stochastic functions, analytical methods which gained further development in this work and methods of numerical and pilot study; results - is increasing of exchange information speed, noise stability and sensitivity of radio engineering devices, means of telecommunications and measuring equipment; novelty - the concept of argumental phase feedback is for the first time offered, the class of nonautonomous oscillator systems with argumenal phase feedback is for the first time obtained; the theory of nonautonomous oscillator systems gained further development, mathematical models of basic oscillator systems with argumental phase feedback and their cascade connection are for the first time obtained, new regularity of work of nonautonomous oscillator systems is for the first time studied, the method of secondary shortening of the differential equation of the synchronized oscillator gained further development, the method of linear approximation of the shortened equations is for the first time offered, the method of small parameter is improved, the new principle of work of phase locked loop on the basis of oscillator systems with argumental phase feedback is for the first time offered; the degree of implementation - implemented in scientific institute and industrial company ; area - radioengineering industry, instrumentation.