ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


Методические заметки по нелинейной динамике

The discrete van der paul oscillator: finite differences and slow amplitudes

For sampling of time in a differential equation of movement of van der Pol oscillator (generator) it is offered to use a combination of the numerical method of finite differences and the asymptotic method of the slowl-changing amplitudes. The difference approximations of temporal derivatives are selected so that, first, to save conservatism and natural frequency of the linear circuit of self-oscillatory system in the discrete time.

PRESERVING MEASURE CHAOTIC MAPS OF DOMAINS IN THE FORM OF ROTATION FIGURES

The aim of the article is to demonstrate an algorithm for constructing measure-preserving three-dimensional chaotic maps defined in domains formed by rotation bodies. On the one hand, the class of multidimensional chaotic mappings is expended, and on the other hand, we obtain formulas for simulating pseudo-random quantities that are in demand in problems solving by the Monte Carlo method.

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