Quantization improves stabilization of dynamical systems with delayed feedback
  • Metaadatok
Tartalom: http://real.mtak.hu/74530/
Archívum: MTA Könyvtár
Gyűjtemény: Status = Published

Type = Article
Cím:
Quantization improves stabilization of dynamical systems with delayed feedback
Létrehozó:
Stépán, Gábor
Milton, J. G.
Insperger, Tamás Antal
Kiadó:
AIP Publishing
Dátum:
2017
Téma:
QC01 Mechanics / mechanika
Tartalmi leírás:
We show that an unstable scalar dynamical system with time-delayed feedback can be stabilized by quantizing the feedback. The discrete time model corresponds to a previously unrecognized case of the microchaotic map in which the fixed point is both locally and globally repelling. In the continuous-time model, stabilization by quantization is possible when the fixed point in the absence of feedback is an unstable node, and in the presence of feedback, it is an unstable focus (spiral). The results are illustrated with numerical simulation of the unstable Hayes equation. The solutions of the quantized Hayes equation take the form of oscillations in which the amplitude is a function of the size of the quantization step. If the quantization step is sufficiently small, the amplitude of the oscillations can be small enough to practically approximate the dynamics around a stable fixed point.
Nyelv:
angol
Típus:
Article
PeerReviewed
info:eu-repo/semantics/article
Formátum:
text
Azonosító:
Stépán, Gábor and Milton, J. G. and Insperger, Tamás Antal (2017) Quantization improves stabilization of dynamical systems with delayed feedback. CHAOS, 27 (11). pp. 1-9. ISSN 1054-1500
Kapcsolat:
https://doi.org/10.1063/1.5006777
MTMT:3302502; doi:10.1063/1.5006777
340889
Létrehozó:
info:eu-repo/semantics/restrictedAccess