Laminar chaos in systems with variable delay time

2021 ◽  
Author(s):  
Vladimir Ponomarenko ◽  
Danil Kulminskiy ◽  
Mikhail Prokhorov
Keyword(s):  
Delay Time ◽  
Variable Delay ◽  
Variable Delay Time

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 EFFECT OF A VARIABLE DELAY IN DELAYED DYNAMICAL SYSTEMS

2001 ◽  
Vol 11 (11) ◽  
pp. 2875-2880 ◽  
Author(s):  
S. MADRUGA ◽  
S. BOCCALETTI ◽  
M. A. MATÍAS
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Delay Time ◽  
Periodic Modulation ◽  
Variable Delay ◽  
Numerical Evidence ◽  
Sawtooth Wave ◽  
Future Goals ◽  
Open Questions ◽  
The Relationship

We report numerical evidence of the effects of a periodic modulation in the delay time of a delayed dynamical system. By referring to a Mackey–Glass equation and by adding a modulation in the delay time, we describe how the solution of the system passes from being chaotic to shadow periodic states. We analyze this transition for both sinusoidal and sawtooth wave modulations, and we give, in the latter case, the relationship between the period of the shadowed orbit and the amplitude of the modulation. Future goals and open questions are highlighted.

Research on Prediction of High-Speed Rail Trains Delay Time

CICTP 2020 ◽  
2020 ◽  
Author(s):  
Jing Shi ◽  
Qiyuan Peng ◽  
Ling Liu
Keyword(s):  
Delay Time ◽  
High Speed ◽  
High Speed Rail

Synchronization of Chaotic Quantum Dot Light Emitting Diodes under Optical Feedback Effect

2020 ◽  
pp. 144-148
Keyword(s):  
Quantum Dot ◽  
Delay Time ◽  
Chaos Synchronization ◽  
Optical Feedback ◽  
Light Emitting Diode ◽  
Feedback Effect ◽  
Complete Synchronization ◽  
Light Emitting ◽  
Coupling Methods ◽  
Coupling Parameters

Chaos synchronization of delayed quantum dot light emitting diode has been studied theortetically which are coupled via the unidirectional and bidirectional. at synchronization of chaotic, The dynamics is identical with delayed optical feedback for those coupling methods. Depending on the coupling parameters and delay time the system exhibits complete synchronization, . Under proper conditions, the receiver quantum dot light emitting diode can be satisfactorily synchronized with the transmitter quantum dot light emitting diode due to the optical feedback effect.

Control by Pyragas method with variable delay: from simple models to experiments

2014 ◽  
Vol 1 ◽  
pp. 679-682
Author(s):  
Aleksandar Gjurchinovski ◽  
Thomas Jüngling ◽  
Viktor Urumov
Keyword(s):  
Variable Delay ◽  
Simple Models
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