Vestnik Samarskogo universiteta. Estestvennonauchnaya seriya / Vestnik of Samara University. Natural Science SeriesVestnik Samarskogo universiteta. Estestvennonauchnaya seriya / Vestnik of Samara University. Natural Science Series2541-75252712-8954Samara National Research University448110.18287/2541-7525-2015-21-6-141-150ABOUT NUMERICAL MODELLING OF THOMSON SELF-OSCILLATORY SYSTEMSZaitsevV.V.morenov.sv@ssau.ruKarlovA.V.morenov.sv@ssau.ruKarlovAr.V.morenov.sv@ssau.ruSamara State UniversityJoint Stock Company Space Rocket
Centre Progress170620152161411501705201717052017Copyright © 2015, Zaitsev V., Karlov A., Karlov A.2015The algorithm of numerical integration of a task of Cauchy for the equations of the movement of self-oscillatory systems of Thomson type is oﬀered. The algorithm is based on the use of samples of impulse response of linear resonant system as discretization sequences at the transition to the discrete time in the integral form of the equations of motion. Estimates of an error of numerical decisions are given. Transformation of ﬁnite diﬀerence algorithm in object of nonlinear dynamics in discrete time is discussed. Version of discrete mapping of Van der Pol oscillator is proposed. The algorithm of numerical integration of a task of Cauchy for the equations of the movement of self-oscillatory systems of Thomson type is oﬀered. The algorithm is based on the use of samples of impulse response of linear resonant system as discretization sequences at the transition to the discrete time in the integral form of the equations of motion. Estimates of an error of numerical decisions are given. Transformation of ﬁnite diﬀerence algorithm in object of nonlinear dynamics in discrete time is discussed. Version of discrete mapping of Van der Pol oscillator is proposed. The algorithm of numerical integration of a task of Cauchy for the equations of the movement of self-oscillatory systems of Thomson type is oﬀered. The algorithm is based on the use of samples of impulse response of linear resonant system as discretization sequences at the transition to the discrete time in the integral form of the equations of motion. Estimates of an error of numerical decisions are given. Transformation of ﬁnite diﬀerence algorithm in object of nonlinear dynamics in discrete time is discussed. Version of discrete mapping of Van der Pol oscillator is proposed.автоколебательная системаинтегральное уравнение Вольтерраимпульсная характеристика резонатораконечно-разностный алгоритмнелинейная динамика в дискретном временидискретное отображение осциллятора Ван дер Поляself-oscillatory system, Volterra integral equation, impulse response of resonator, finite difference algorithm, nonlinear dynamics in discrete time, discrete mapping of Van der Pol oscillator