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|Title:||Quasi-periodic dynamics in system with multilevel pulse modulated control|
|Authors:||Gol'tsov, Yu. A.|
Kizhuk, A. S.
Rubanov, V. G.
|Keywords:||Authors of BSTU|
|Abstract:||In this paper, the authors describe the transitions from the regular periodic mode to quasiperiodicity that can be observed in a multilevel pulse-width modulated control system for a high-power heating unit. The behavior of such system can be described by a set of two coupled non-autonomous differential equations with discontinuous right-hand sides. The authors reduce the investigation of this system to the studying of a two-dimensional piecewisesmooth map. The authors demonstrate how a closed invariant curve associated with quasiperiodic dynamics can arise from a stable periodic motion through a border-collision bifurcation. The paper also considers a variety of interesting nonlinear phenomena, including phase-locking modes, the coexistence of several stable closed invariant curves, embedded one into the other and with their basins of attraction separated by intervening repelling closed curves.|
|Description:||Gol'tsov Yu. A. Quasi-periodic dynamics in system with multilevel pulse modulated control / Yu. A. Gol'tsov, A. S. Kizhuk, V. G. Rubanov // IOP Conf. Series: Materials Science and Engineering. - 2018. - Vol.327. - 052014.|
|Appears in Collections:||IT-technologies|
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