Details
| Original language | English |
|---|---|
| Pages (from-to) | 5827-5836 |
| Number of pages | 10 |
| Journal | Physical Review A |
| Volume | 42 |
| Issue number | 10 |
| Publication status | Published - 1990 |
| Externally published | Yes |
Abstract
We demonstrate how noise can be an effective tool in modeling systems whose experimental data sets would normally be limited to a small region of the reconstructed state space. In fact, for systems with stable fixed points, using noise to extend the accessible state-space volume may be the only possibility for constructing a model. We find that noise can also be useful in modeling limit cycles when multiple systems generate the same closed trajectory and the model that represents the true dynamics is desired. We discuss the implications of our method for nonlinear control theory about which important questions on the effects of noise in real-time modeling have arisen.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Physical Review A, Vol. 42, No. 10, 1990, p. 5827-5836.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Noise in the modeling and control of dynamical systems
AU - Breeden, Joseph L.
AU - Dinkelacker, Friedrich
AU - Hubler, Alfred
PY - 1990
Y1 - 1990
N2 - We demonstrate how noise can be an effective tool in modeling systems whose experimental data sets would normally be limited to a small region of the reconstructed state space. In fact, for systems with stable fixed points, using noise to extend the accessible state-space volume may be the only possibility for constructing a model. We find that noise can also be useful in modeling limit cycles when multiple systems generate the same closed trajectory and the model that represents the true dynamics is desired. We discuss the implications of our method for nonlinear control theory about which important questions on the effects of noise in real-time modeling have arisen.
AB - We demonstrate how noise can be an effective tool in modeling systems whose experimental data sets would normally be limited to a small region of the reconstructed state space. In fact, for systems with stable fixed points, using noise to extend the accessible state-space volume may be the only possibility for constructing a model. We find that noise can also be useful in modeling limit cycles when multiple systems generate the same closed trajectory and the model that represents the true dynamics is desired. We discuss the implications of our method for nonlinear control theory about which important questions on the effects of noise in real-time modeling have arisen.
UR - http://www.scopus.com/inward/record.url?scp=0010465428&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.42.5827
DO - 10.1103/PhysRevA.42.5827
M3 - Article
AN - SCOPUS:0010465428
VL - 42
SP - 5827
EP - 5836
JO - Physical Review A
JF - Physical Review A
SN - 1050-2947
IS - 10
ER -