Recovery of the time-evolution equation of time-delay systems from time series

1997 ◽  
Vol 56 (5) ◽  
pp. 5083-5089 ◽  
Author(s):  
M. J. Bünner ◽  
Th. Meyer ◽  
A. Kittel ◽  
J. Parisi
Keyword(s):  
Time Series ◽  
Time Delay ◽  
Evolution Equation ◽  
Time Evolution ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Equation Of Time ◽  
Time Evolution Equation

scholarly journals Recovery of Models of Time-delay Systems from Short Experimental Time Series

2016 ◽  
Vol 16 (1) ◽  
pp. 17-24
Author(s):  
M. D. Prokhorov ◽  
◽  
A. S. Karavaev ◽  
Yu. M. Ishbulatov ◽  
E. I. Borovkova ◽  
...  
Keyword(s):  
Time Series ◽  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Experimental Time ◽  
Experimental Time Series

Recovery of equations of coupled time-delay systems from time series

2005 ◽  
Vol 31 (1) ◽  
pp. 64-67
Author(s):  
V. I. Ponomarenko ◽  
M. D. Prokhorov
Keyword(s):  
Time Series ◽  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems

Recovery of scaler time-delay systems from time series

1996 ◽  
Vol 211 (6) ◽  
pp. 345-349 ◽  
Author(s):  
M.J. Bünner ◽  
M. Popp ◽  
Th. Meyer ◽  
A. Kittel ◽  
U. Rau ◽  
...  
Keyword(s):  
Time Series ◽  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems

Time series analysis of scalar time-delay systems

2008 ◽  
pp. 229-238
Author(s):  
M. J. Bünner ◽  
M. Popp ◽  
Th. Meyer ◽  
A. Kittel ◽  
J. Parisi
Keyword(s):  
Time Series ◽  
Time Delay ◽  
Time Series Analysis ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Series Analysis

Reconstruction of ensembles of coupled time-delay systems from time series

2014 ◽  
Vol 89 (6) ◽  
Author(s):  
I. V. Sysoev ◽  
M. D. Prokhorov ◽  
V. I. Ponomarenko ◽  
B. P. Bezruchko
Keyword(s):  
Time Series ◽  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems

Recovery of couplings and parameters of elements in networks of time-delay systems from time series

2016 ◽  
Vol 94 (5) ◽  
Author(s):  
I. V. Sysoev ◽  
V. I. Ponomarenko ◽  
D. D. Kulminskiy ◽  
M. D. Prokhorov
Keyword(s):  
Time Series ◽  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems

Determination of parameters of elements and coupling architecture in ensembles of coupled time-delay systems from their time series

2014 ◽  
Vol 59 (10) ◽  
pp. 1434-1444 ◽  
Author(s):  
I. V. Sysoev ◽  
M. D. Prokhorov ◽  
V. I. Ponomarenko ◽  
B. P. Bezruchko
Keyword(s):  
Time Series ◽  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Determination Of Parameters

Recovering parameters of time-delay systems from transient time series

2008 ◽  
Vol 34 (6) ◽  
pp. 483-485 ◽  
Author(s):  
V. I. Ponomarenko ◽  
M. D. Prokhorov
Keyword(s):  
Time Series ◽  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Transient Time

Reconstructions of model equations of time-delay system from short experimental time series

2020 ◽  
Vol 11 (02) ◽  
pp. 2050014
Author(s):  
Anatoly S. Karavaev ◽  
Yurii M. Ishbulatov ◽  
Ekaterina I. Borovkova ◽  
Danil D. Kulminskiy ◽  
Vladimir S. Khorev ◽  
...  
Keyword(s):  
Time Series ◽  
Time Delay ◽  
Delay System ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Driven System ◽  
Noisy Time Series ◽  
Experimental Time Series ◽  
The Mean ◽  
Model Equations

This study aims to investigate the scope of methods for the reconstruction of time-delay systems. We consider an approach to the reconstruction of time-delay systems based on the synchronous response of the driven system with the structure similar to the structure of the studied object. This approach is used for the recovery of the parameters of time-delay systems from short and noisy time series. To show the operational performance and capabilities of this approach, the parameters were reconstructed for a radiophysical chaotic generator with quadratic nonlinearity and for the model of a system for the baroreflectory regulation of the mean arterial pressure.

Reconstruction of time-delay systems from chaotic time series

2001 ◽  
Vol 64 (5) ◽  
Author(s):  
B. P. Bezruchko ◽  
A. S. Karavaev ◽  
V. I. Ponomarenko ◽  
M. D. Prokhorov
Keyword(s):  
Time Series ◽  
Time Delay ◽  
Chaotic Time Series ◽  
Delay Systems ◽  
Time Delay Systems
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