Active control of oscillation patterns in the presence of multiarmed pitchfork structure of the critical manifold of singularly perturbed system
type: Item
instance of: scholarly article
title: Active control of oscillation patterns in the presence of multiarmed pitchfork structure of the critical manifold of singularly perturbed system
zbMATH Open document ID: 1299.93180
DOI: 10.1155/2013/650354
author: Marcel Abas
author: Michal Kopcek
author: Michal Kebisek
author: Robert Vrabel
published in: Mathematical Problems in Engineering
publication date: 2014-11-24T00:00:00Z
review text: Summary: We analyze the possibility of control of oscillation patterns for nonlinear dynamical systems without the excitation of oscillatory inputs. We propose a general method for the partition of the space of initial states to the areas allowing active control of the stable steady-state oscillations. Furthermore, we show that the frequency of oscillations can be controlled by an appropriately positioned parameter in the mathematical model. This paper extends the knowledge of the nature of the oscillations with emphasis on its consequences for active control. The results of the analysis are numerically verified and provide the feedback for further design of oscillator circuits.
Mathematics Subject Classification ID: 93C70
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34H05
zbMATH DE Number: 6372568
Wikidata QID: Q59031313
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/650354
OpenAlex ID: W2039696400
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description: scientific article; zbMATH DE number 6372568