Journal of Physical Studies 4(1), 1–5 (2000)
DOI: https://doi.org/10.30970/jps.04.1

SYNTHESIS OF AUTOOSCILLATORS REPRODUCING ONE OF THE SOLUTIONS OF THE HAMILTONIAN SYSTEM

L. A. Sinitsky, I. V. Smal
Department of Radiophysics, Ivan Franko National University of Lviv,
19 Drahomanov Str., Lviv, UA-79005, Ukraine

A nonlinear periodic system is synthesised which reproduces one of the solutions of the Hamiltonian system. An arbitrarily prescribed periodic waveform can be synthesised due to the appropriately chosen potential of the Hamiltonian equations. The proposed method of synthesis can be extended on the Hamiltonian equations with the $n$ degrees of freedom. In this case synthesis of quasiperiodic waveforms which have $n$–basic frequencies is possible. As an example an auto–oscillator for generating the waveform similar to the cardiogram was synthesised.

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