Analysis and implementation of dynamical system with periodical discrete jumps

The novel method for dynamical motion quantification is discussed in this paper. The proposed approach is verified on the cyclically symmetrical vector field with jump functions generating the large state space attractors recently discovered by the authors. The core part of the calculation engine involves continuous Fourier transform and Cartesian to spherical conversion. It turns out that the existing methods give the incorrect results, have huge demands on the computer performance or completely fail to converge in the finite time. The fully analog as well as hybrid circuitry implementation using off-the-shelf components is also presented and validated by means of the network simulator Orcad Pspice.

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W artykule opisano nową metodę dynamicznego kwantowania ruchu. Zasadniczą część obliczeń stanowi transformata Fouriera i sferyczna konwersja Kartezjańska. Założenia potwierdzają symulacje Pspice.