Amplitude death, oscillation death, and periodic regimes in dynamically coupled Landau–Stuart oscillators with and without distributed delay

2021 ◽  
Vol 187 ◽  
pp. 30-50
Author(s):  
Ryan Roopnarain ◽  
S. Roy Choudhury
Keyword(s):  
Distributed Delay ◽  
Amplitude Death

scholarly journals Amplitude death in systems of coupled oscillators with distributed-delay coupling

2011 ◽  
Vol 84 (2) ◽  
pp. 307-315 ◽  
Author(s):  
Y. N. Kyrychko ◽  
K. B. Blyuss ◽  
E. Schöll
Keyword(s):  
Coupled Oscillators ◽  
Distributed Delay ◽  
Amplitude Death

scholarly journals Amplitude and phase dynamics in oscillators with distributed-delay coupling

2013 ◽  
Vol 371 (1999) ◽  
pp. 20120466 ◽  
Author(s):  
Y. N. Kyrychko ◽  
K. B. Blyuss ◽  
E. Schöll
Keyword(s):  
Distributed Delay ◽  
Average Frequency ◽  
Amplitude Death ◽  
Phase Dynamics ◽  
Delay Distribution ◽  
Oscillatory Dynamics ◽  
Phase Representation ◽  
Different Types ◽  
The Mean ◽  
Mean Time

This paper studies the effects of distributed-delay coupling on the dynamics in a system of non-identical coupled Stuart–Landau oscillators. For uniform and gamma delay distribution kernels, the conditions for amplitude death are obtained in terms of average frequency, frequency detuning and the parameters of the coupling, including coupling strength and phase, as well as the mean time delay and the width of the delay distribution. To gain further insights into the dynamics inside amplitude death regions, the eigenvalues of the corresponding characteristic equations are computed numerically. Oscillatory dynamics of the system is also investigated, using amplitude and phase representation. Various branches of phase-locked solutions are identified, and their stability is analysed for different types of delay distributions.

Disturbance observer–based neural flight control for aircraft with switched time-varying distributed delays

2021 ◽  
pp. 095441002199850
Author(s):  
Dawei Wu ◽  
Jun Zhou ◽  
Hui Ye
Keyword(s):  
Flight Control ◽  
Disturbance Observer ◽  
Distributed Delay ◽  
Unsteady Aerodynamics ◽  
Feedback System ◽  
Functional Method ◽  
System Control ◽  
Time Varying ◽  
Time Varying Delay ◽  
Feedback System Control

In this article, the high angle of attack (AOA) maneuver control problem is studied under multiple disturbances and uncertainties. For the first time, the switched distributed delay is constructed to characterize the unsteady aerodynamics. Based on neural networks (NNs) and hyperbolic tangent function, the disturbance observer technique is extended to the nonstrict-feedback system control. To handle the switching problem, time-delay problem, and nonstrict-feedback problem caused by switched distributed delay terms, the Lyapunov–Krasovskii (LK) functional method and a variable separation method are cleverly combined. The proposed LK function can relax the constraints on time-varying delay. Finally, a disturbance observer–based neural finite-time prescribed performance flight control law is developed to improve the flight performance at high AOA, and its effectiveness has been verified through rigorous theoretical analysis and simulation experiments.

Explicit Stability for a Porous Thermoelastic System with Second Sound and Distributed Delay Term

2021 ◽  
Vol 7 (2) ◽  
Author(s):  
Abdelhak Djebabla ◽  
Abdelbaki Choucha ◽  
Djamel Ouchenane ◽  
Khaled Zennir
Keyword(s):  
Distributed Delay ◽  
Second Sound ◽  
Delay Term

A Distributed Delay Method for Event-Triggered Control of T–S Fuzzy Networked Systems With Transmission Delay

2019 ◽  
Vol 27 (10) ◽  
pp. 1963-1973 ◽  
Author(s):  
Shen Yan ◽  
Mouquan Shen ◽  
Sing Kiong Nguang ◽  
Guangming Zhang ◽  
Liruo Zhang
Keyword(s):  
Distributed Delay ◽  
Transmission Delay ◽  
Networked Systems ◽  
Event Triggered

scholarly journals Experimental Observation of the Amplitude Death Effect in Two Coupled Nonlinear Oscillators

2000 ◽  
Vol 84 (23) ◽  
pp. 5312-5315 ◽  
Author(s):  
R. Herrero ◽  
M. Figueras ◽  
J. Rius ◽  
F. Pi ◽  
G. Orriols
Keyword(s):  
Experimental Observation ◽  
Nonlinear Oscillators ◽  
Amplitude Death ◽  
Coupled Nonlinear Oscillators
Sign in / Sign up

Export Citation Format

Share Document