Predicting period-doubling bifurcations in nonlinear time-delayed feedback systems

2002 ◽  
Author(s):  
D.W. Berns ◽  
J.L. Moiola ◽  
Guanrong Chen
Keyword(s):  
Period Doubling ◽  
Delayed Feedback ◽  
Feedback Systems ◽  
Time Delayed Feedback ◽  
Period Doubling Bifurcations

Data Processing in Bifurcation Analysis of Maps with Time-Delays in the Frequency Domain

2014 ◽  
Vol 685 ◽  
pp. 634-637
Author(s):  
Li Zeng ◽  
Jun Wei Wang
Keyword(s):  
Data Processing ◽  
Frequency Domain ◽  
Time Delays ◽  
Period Doubling ◽  
Feedback Systems ◽  
Bifurcation Solution ◽  
Nonlinear Maps ◽  
The Stability ◽  
Frequency Domain Approach ◽  
Period Doubling Bifurcations

A unified frequency-domain approach to analyze the NS (Neimark-Sacker) bifurcations and the period-doubling bifurcations of nonlinear maps with time-delays in the linear feed-forward term is presented. The technique relies on the HBA (harmonic balance approximation, a very important method in data processing ) and feedback systems theory. The expressions of the bifurcation solution and the stability are derived.

Reconstruction of time-delayed feedback systems from time series

2005 ◽  
Vol 203 (3-4) ◽  
pp. 209-223 ◽  
Author(s):  
M.D. Prokhorov ◽  
V.I. Ponomarenko ◽  
A.S. Karavaev ◽  
B.P. Bezruchko
Keyword(s):  
Time Series ◽  
Delayed Feedback ◽  
Feedback Systems ◽  
Time Delayed Feedback

Identifying noise sources of time-delayed feedback systems

2004 ◽  
Vol 328 (2-3) ◽  
pp. 219-224 ◽  
Author(s):  
T.D Frank ◽  
P.J Beek ◽  
R Friedrich
Keyword(s):  
Delayed Feedback ◽  
Feedback Systems ◽  
Noise Sources ◽  
Time Delayed Feedback

REAL-TIME ANTICIPATION OF CHAOTIC STATES OF AN ELECTRONIC CIRCUIT

2002 ◽  
Vol 12 (07) ◽  
pp. 1619-1625 ◽  
Author(s):  
HENNING U. VOSS
Keyword(s):  
Real Time ◽  
Electronic Circuit ◽  
Delayed Feedback ◽  
Feedback Systems ◽  
Experimental Realization ◽  
Driving Circuit ◽  
Time Delayed Feedback

This Letter presents an experimental realization of a recently proposed method to anticipate future states of nonlinear time-delayed feedback systems. The electronic circuit allows for a real-time anticipation of even strongly irregular signals. It is found that synchronization of the driven circuit with chaotic future states of the driving circuit is insensitive to signal and system perturbations.

Sign in / Sign up

Export Citation Format

Share Document