Open AccessVAN DER POL AND RAYLEIGH OSCILLATORS IN DISCRETE TIME
Author(s) -
В. В. Зайцев,
S. van de Lindt,
А. Н. Шилин
Publication year - 2014
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2014-20-7-104-114
Subject(s) - van der pol oscillator , discrete time and continuous time , pulse (music) , chaotic , amplitude , physics , statistical physics , rayleigh scattering , discrete system , range (aeronautics) , mathematics , control theory (sociology) , quantum mechanics , computer science , nonlinear system , engineering , statistics , algorithm , control (management) , voltage , artificial intelligence , aerospace engineering
New discrete displays of classical self-oscillatory systems - Van der Paul and Rayleigh’s oscillators are oered. Displays with the kept temporary characteristics of response of linear system on external inuence are received on the basis of combination of methods of parametrical synthesis and invariancy of pulse char- acteristics of dynamic systems. Examples of generation of regular and chaotic self-oscillations in discrete time are given. For the analysis of self-oscillations in the received discrete systems the method of slowly changing amplitudes is used. The eect of substitution of frequencies in a range of self-oscillations with use of the improved rst approach is considered.