MATEC Web Conf.
Volume 129, 2017International Conference on Modern Trends in Manufacturing Technologies and Equipment (ICMTMTE 2017)
|Number of page(s)||4|
|Section||Modern Manufacturing Technologies, Tools and Equipment|
|Published online||07 November 2017|
Nonlinear phenomena in a high–power heating unit with pulse modulated control
Department of Engineering Cybernetics, Belgorod State Technological University n.a. V.G. Shukhov, Kostyukov Str., 46, 308012, Belgorod, Russia
* Corresponding author: email@example.com
In this paper we describe the transitions from regular periodic mode to quasiperiodicity that can be observed in a pulse–width modulated control system for a high–power heating unit. The behavior of such a system can be described by a set of two coupled nonautonomous differential equations with discontinuous right–hand sides. We reduce the investigation of this system to the studying of a two–dimensional piecewise–smooth map. We demonstrate how a closed invariant curve associated with quasiperiodic dynamics can arise from a stable periodic motion through a Neimark-Sacker bifurcation. The paper also considers a variety of interesting nonlinear phenomena, including phase-locking modes, multistablilty and hysteretic transitions.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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