scholarly journals On physical interpretation of two dimensional time-correlations regarding time delay velocities and eddy shaping

2012 ◽  
Vol 19 (12) ◽  
pp. 122302 ◽  
Author(s):  
N. Fedorczak ◽  
P. Manz ◽  
S. C. Thakur ◽  
M. Xu ◽  
G. R. Tynan ◽  
...  
Keyword(s):  
Time Delay ◽  
Physical Interpretation ◽  
Two Dimensional ◽  
Time Correlations

Study on soliton solutions of the longitudinal wave equation and magneto-electro-elastic circular rod dynamical model

2021 ◽  
Vol 35 (13) ◽  
pp. 2150168
Author(s):  
Adel Darwish ◽  
Aly R. Seadawy ◽  
Hamdy M. Ahmed ◽  
A. L. Elbably ◽  
Mohammed F. Shehab ◽  
...  
Keyword(s):  
Wave Equation ◽  
Exact Solutions ◽  
Longitudinal Wave ◽  
Physical Interpretation ◽  
Elliptic Function ◽  
Function Method ◽  
Three Dimensional ◽  
Soliton Solutions ◽  
Jacobi Elliptic Function ◽  
Two Dimensional

In this paper, we use the improved modified extended tanh-function method to obtain exact solutions for the nonlinear longitudinal wave equation in magneto-electro-elastic circular rod. With the aid of this method, we get many exact solutions like bright and singular solitons, rational, singular periodic, hyperbolic, Jacobi elliptic function and exponential solutions. Moreover, the two-dimensional and the three-dimensional graphs of some solutions are plotted for knowing the physical interpretation.

Expectation maximization identification algorithm for time-delay two-dimensional systems

2020 ◽  
Vol 357 (14) ◽  
pp. 9992-10009
Author(s):  
Jing Chen ◽  
Qianyan Shen ◽  
Yanjun Liu ◽  
Lijuan Wan
Keyword(s):  
Time Delay ◽  
Expectation Maximization ◽  
Identification Algorithm ◽  
Two Dimensional

Quadratic Performance Indices and Optimum Suspension Design

1973 ◽  
Vol 187 (1) ◽  
pp. 129-139 ◽  
Author(s):  
A. G. Thompson
Keyword(s):  
Computer Simulation ◽  
Time Delay ◽  
Ride Quality ◽  
Two Dimensional ◽  
Forward Speed ◽  
Performance Indices ◽  
Coupling Ratio ◽  
Vehicle Model ◽  
Varying Length ◽  
Quadratic Performance

This paper presents some results obtained from the computer simulation of a two-dimensional linear vehicle model with coupled bounce and pitch modes. The effects of variations in the ratio of front to rear spring stiffnesses and the inertia coupling ratio on various performance indices for ride quality and road holding were investigated. Two forms of input to the system were considered, ( a) isolated smooth bumps of varying length and ( b) continuous random type excitations. Allowance was made for the time delay between the inputs at the front and rear wheels due to the forward speed of the vehicle.

Two-dimensional optical architecture for time-delay beam forming in a phased-array antenna

1991 ◽  
Vol 16 (4) ◽  
pp. 255 ◽  
Author(s):  
D. Dolfi ◽  
F. Michel-Gabriel ◽  
S. Bann ◽  
J. P. Huignard
Keyword(s):  
Time Delay ◽  
Phased Array ◽  
Array Antenna ◽  
Beam Forming ◽  
Two Dimensional ◽  
Phased Array Antenna

scholarly journals Stability and Bifurcation Analysis for a Predator-Prey Model with Discrete and Distributed Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Ruiqing Shi ◽  
Junmei Qi ◽  
Sanyi Tang
Keyword(s):  
Hopf Bifurcation ◽  
Time Delay ◽  
Three Dimensional ◽  
Distributed Delay ◽  
Dimensional System ◽  
Two Dimensional ◽  
Normal Form Theory ◽  
Predator Prey Model ◽  
Prey Model ◽  
Form Theory

We propose a two-dimensional predatory-prey model with discrete and distributed delay. By the use of a new variable, the original two-dimensional system transforms into an equivalent three-dimensional system. Firstly, we study the existence and local stability of equilibria of the new system. And, by choosing the time delayτas a bifurcation parameter, we show that Hopf bifurcation can occur as the time delayτpasses through some critical values. Secondly, by the use of normal form theory and central manifold argument, we establish the direction and stability of Hopf bifurcation. At last, an example with numerical simulations is provided to verify the theoretical results. In addition, some simple discussion is also presented.

Analysis of Graphene Based on Femtosecond Probing

2013 ◽  
Vol 785-786 ◽  
pp. 406-409
Author(s):  
Hong Cui ◽  
Xian Bin Zhang ◽  
Qi Jun Liang ◽  
Jun Fei Su ◽  
Peng Yang ◽  
...  
Keyword(s):  
Time Delay ◽  
Frequency Spectrum ◽  
Building Block ◽  
High Speed ◽  
Oscillation Amplitude ◽  
Two Dimensional ◽  
Carbon Allotropes ◽  
Graphene Films ◽  
Terahertz Spectrum ◽  
Scan Rate

Graphene is the two-dimensional building block for carbon allotropes of every other dimensionality. We report the terahertz spectrum of Non-uniform graphene films based femtosecond probing with more than 6 THz spectral coverage and the 1 GHz resolution using high-speed asynchronous optical sampling, and it operates at 2 kHz scan rate without a mechanical delay stage. The overall waveform creates shock and the oscillation amplitude reached 0.37E-4 mV, main-peaks time delay is 151.83fs between graphene and substrate, frequency spectrum oscillatory fades at 2.8 THz and appeared obvious absorption peak.

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