scholarly journals Ламинарный хаос в генераторе с запаздывающей обратной связью

2020 ◽  
Vol 46 (9) ◽  
pp. 16
Author(s):  
Д.Д. Кульминский ◽  
В.И. Пономаренко ◽  
М.Д. Прохоров
Keyword(s):  
Delay Time ◽  
Nonlinear Function ◽  
Harmonic Signal ◽  
Delayed Feedback ◽  
Radio Engineering ◽  
First Time ◽  
Time Delayed Feedback

For the first time, the phenomenon of laminar chaos is experimentally studied in a radio engineering generator with time-delayed feedback, the delay time of which is modulated by an external harmonic signal. Regions of various regimes of laminar chaos are constructed on the plane of the parameters of modulating signal. The nonlinear function of generator is reconstructed in the regime of laminar chaos.

scholarly journals Клонирование химерных состояний в двухслойной сети бистабильных генераторов с запаздывающей обратной связью

2021 ◽  
Vol 47 (2) ◽  
pp. 32
Author(s):  
Д.Д. Кульминский ◽  
В.И. Пономаренко ◽  
М.Д. Прохоров
Keyword(s):  
Initial Conditions ◽  
Delayed Feedback ◽  
Radio Engineering ◽  
Unidirectional Coupling ◽  
Chimera States ◽  
Network Layers ◽  
First Time ◽  
Time Delayed Feedback

Cloning of chimera states is for the first time studied in a two-layer network of identical bistable radio engineering generators with time-delayed feedback. The cases of mutual and unidirectional coupling between the network layers are considered. It is shown that for the cloning of chimera states it is necessary to choose the initial conditions of generators in a certain way.

Hidden data transmission based on time-delayed feedback system with switched delay time

2012 ◽  
Vol 38 (1) ◽  
pp. 51-54 ◽  
Author(s):  
V. I. Ponomarenko ◽  
A. S. Karavaev ◽  
E. E. Glukhovskaya ◽  
M. D. Prokhorov
Keyword(s):  
Data Transmission ◽  
Delay Time ◽  
Feedback System ◽  
Delayed Feedback ◽  
Hidden Data ◽  
Time Delayed Feedback

scholarly journals Time-delayed feedback in neurosystems

2009 ◽  
Vol 367 (1891) ◽  
pp. 1079-1096 ◽  
Author(s):  
Eckehard Schöll ◽  
Gerald Hiller ◽  
Philipp Hövel ◽  
Markus A Dahlem
Keyword(s):  
Time Delay ◽  
White Noise ◽  
Coupling Strength ◽  
Delay Time ◽  
Feedback Loop ◽  
Time Synchronization ◽  
Delayed Feedback ◽  
Amplitude Death ◽  
Large Delay ◽  
Time Delayed Feedback

The influence of time delay in systems of two coupled excitable neurons is studied in the framework of the FitzHugh–Nagumo model. A time delay can occur in the coupling between neurons or in a self-feedback loop. The stochastic synchronization of instantaneously coupled neurons under the influence of white noise can be deliberately controlled by local time-delayed feedback. By appropriate choice of the delay time, synchronization can be either enhanced or suppressed. In delay-coupled neurons, antiphase oscillations can be induced for sufficiently large delay and coupling strength. The additional application of time-delayed self-feedback leads to complex scenarios of synchronized in-phase or antiphase oscillations, bursting patterns or amplitude death.

scholarly journals Ламинарный хаос в связанных системах с запаздыванием

2022 ◽  
Vol 48 (4) ◽  
pp. 11
Author(s):  
Д.Д. Кульминский ◽  
В.И. Пономаренко ◽  
М.Д. Прохоров
Keyword(s):  
Delay Time ◽  
Mutual Coupling ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Feedback Systems ◽  
Constant Delay ◽  
Variable Delay Time ◽  
Constant Delay Time ◽  
First Time ◽  
Time Delayed Feedback

The possibility of the existence of laminar chaos in coupled time-delayed feedback systems is investigated. The cases of unidirectional and mutual coupling of time-delay systems are considered. It is shown for the first time that laminar chaos can exist not only in a system with a variable delay time, but also in a system with a constant delay time, if it is coupled with a system in the regime of laminar chaos.

scholarly journals Instability Attenuation And Bifurcation Studies of A Non-Ideal Rotor Involving Time Delayed Feedback

2021 ◽  
Author(s):  
Sovan Sundar Dasgupta
Keyword(s):  
Energy Source ◽  
Time Delay ◽  
Numerical Study ◽  
Critical Role ◽  
Nonlinear Function ◽  
Delayed Feedback ◽  
Rotor System ◽  
System Response ◽  
Jump Phenomena ◽  
Time Delayed Feedback

Abstract In non-ideal vibratory system, the excitation is a nonlinear function of system response. The dynamic behavior of such system is often characterized by an energy source with limited power. The study of instability phenomena in non-ideal rotor driven through a non-ideal energy source is of considerable current interest. The non-ideal rotor system often gets destabilized on exceeding a critical input power near the resonance. This kind of instability is termed as Sommerfeld effect marked with nonlinear jump phenomena. This paper investigates the attenuation of nonlinear jump phenomena and numerical study of bifurcations of a non-ideal unbalanced rotor system with internal damping using time delayed feedback via active magnetic bearings. The results show that the time delay indeed plays a critical role on the suppression of the jump phenomena. Following, some new insights are also revealed through a numerical study of saddle node, Hopf and trans-critical bifurcations with time delay as a bifurcation parameter. The transient analysis confirms the results obtained analytically through the steady-state consideration.

TIME-DELAYED FEEDBACK IN A NET OF NEURAL ELEMENTS: TRANSITION FROM OSCILLATORY TO EXCITABLE DYNAMICS

2007 ◽  
Vol 07 (03) ◽  
pp. L225-L229 ◽  
Author(s):  
M. GASSEL ◽  
E. GLATT ◽  
F. KAISER
Keyword(s):  
Stability Analysis ◽  
Pattern Formation ◽  
Linear Stability Analysis ◽  
Delay Time ◽  
Additive Noise ◽  
Delayed Feedback ◽  
Amplitude Death ◽  
Global Oscillation ◽  
Feedback Strength ◽  
Time Delayed Feedback

The influence of time-delayed feedback on the dynamics of a net of oscillatory FitzHugh-Nagumo elements is investigated. We show that the global oscillation of the net can be suppressed (amplitude death) via time-delayed feedback for properly chosen delay time and feedback strength. The result of a linear stability analysis fits very well to the simulations. In the amplitude death regime, weak additive noise can induce excitation waves (noise-induced pattern formation), a fingerprint of excitable network dynamics.

scholarly journals Boosting energy-time entanglement using coherent time-delayed feedback

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Kisa Barkemeyer ◽  
Marcel Hohn ◽  
Stephan Reitzenstein ◽  
Alexander Carmele
Keyword(s):  
Delayed Feedback ◽  
Time Delayed Feedback

Effect of time-delayed feedback in a bistable system inferred by logic operation

2021 ◽  
Vol 148 ◽  
pp. 111043
Author(s):  
Rong Gui ◽  
Jiaxin Li ◽  
Yuangen Yao ◽  
Guanghui Cheng
Keyword(s):  
Delayed Feedback ◽  
Bistable System ◽  
Logic Operation ◽  
Time Delayed Feedback
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