Geodesic
About numerical modelling of Thomson self-oscillatory systems
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2015), pp. 141-150

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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.
Keywords: self-oscillatory system, Volterra integral equation, impulse response of resonator, finite difference algorithm, nonlinear dynamics in discrete time, discrete mapping of Van der Pol oscillator. 
@article{VSGU_2015_6_a19,
     author = {V. V. Zaitsev and A. V. Karlov and Ar. V. Karlov},
     title = {About numerical modelling of {Thomson} self-oscillatory systems},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {141--150},
     publisher = {mathdoc},
     number = {6},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2015_6_a19/}
}
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V. V. Zaitsev; A. V. Karlov; Ar. V. Karlov. About numerical modelling of Thomson self-oscillatory systems. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2015), pp. 141-150. http://geodesic.mathdoc.fr/item/VSGU_2015_6_a19/