TWO-SCROLL ATTRACTOR IN A DELAY DYNAMICAL SYSTEM

2007 ◽  
Vol 17 (10) ◽  
pp. 3455-3460 ◽  
Author(s):  
ARŪNAS TAMAŠEVIČIUS ◽  
TATJANA PYRAGIENĖ ◽  
MANTAS MEŠKAUSKAS
Keyword(s):  
Dynamical System ◽  
Time Delay ◽  
Nonlinear Function ◽  
Delay System ◽  
The Novel ◽  
Type Function ◽  
Delay Dynamical System ◽  
Glass Type ◽  
Electronic Oscillator

Nonvanishing 𐑍-shaped nonlinear function has been introduced in delay dynamical system instead of commonly used Mackey–Glass type function. Depending on time delay the system exhibits not only mono-scroll, but also more complex two-scroll hyperchaotic attractors. Delay system with the novel nonlinear function can be implemented as an analogue electronic oscillator.

scholarly journals A time delay dynamical model for outbreak of 2019-nCoV and the parameter identification

2020 ◽  
Vol 28 (2) ◽  
pp. 243-250 ◽  
Author(s):  
Yu Chen ◽  
Jin Cheng ◽  
Yu Jiang ◽  
Keji Liu
Keyword(s):  
Dynamical System ◽  
Time Delay ◽  
Parameter Identification ◽  
Typical Feature ◽  
The Novel ◽  
Isolation Rate ◽  
High Isolation ◽  
The Government ◽  
System With Time Delay ◽  
Official Data

AbstractIn this paper, we propose a novel dynamical system with time delay to describe the outbreak of 2019-nCoV in China. One typical feature of this epidemic is that it can spread in the latent period, which can therefore be described by time delay process in the differential equations. The accumulated numbers of classified populations are employed as variables, which is consistent with the official data and facilitates the parameter identification. The numerical methods for the prediction of the outbreak of 2019-nCoV and parameter identification are provided, and the numerical results show that the novel dynamic system can well predict the outbreak trend so far. Based on the numerical simulations, we suggest that the transmission of individuals should be greatly controlled with high isolation rate by the government.

RECONSTRUCTING PHYSICAL VARIABLES AND PARAMETERS FROM DYNAMICAL SYSTEMS

1994 ◽  
Vol 04 (06) ◽  
pp. 1715-1719 ◽  
Author(s):  
U. PARLITZ ◽  
R. ZÖLLER ◽  
J. HOLZFUSS ◽  
W. LAUTERBORN
Keyword(s):  
Dynamical System ◽  
Time Delay ◽  
Dynamical Systems ◽  
Data Base ◽  
Technical Systems ◽  
Physical Variables ◽  
Electronic Oscillator

Variables and parameters of a dynamical system are recovered from a previously generated data base using the time delay reconstruction of states from a single observable. This method may be used for efficiently monitoring variables or parameters of technical systems that are difficult to access. Its application to an electronic oscillator is demonstrated experimentally.

scholarly journals The reproductive number R0 of COVID-19 based on estimate of a statistical time delay dynamical system

2020 ◽  
Author(s):  
Nian Shao ◽  
Jin Cheng ◽  
Wenbin Chen
Keyword(s):  
Dynamical System ◽  
Growth Rate ◽  
Time Delay ◽  
Dynamic System ◽  
Reproductive Number ◽  
Generation Interval ◽  
Delay Dynamical System ◽  
Simulation Results ◽  
Statistical Time

AbstractIn this paper, we estimate the reproductive number R0 of COVID-19 based on Wallinga and Lipsitch framework [11] and a novel statistical time delay dynamic system. We use the observed data reported in CCDC’s paper to estimate distribution of the generation interval of the infection and apply the simulation results from the time delay dynamic system as well as released data from CCDC to fit the growth rate. The conclusion is: Based our Fudan-CCDC model, the growth rate r of COVID-19 is almost in [0.30, 0.32] which is larger than the growth rate 0.1 estimated by CCDC [9], and the reproductive number R0 of COVID-19 is estimated by 3.25 ≤ R0 ≤ 3.4 if we simply use R = 1 + r ∗ Tc with Tc = 7.5, which is bigger than that of SARS. Some evolutions and predictions are listed.

The Use of Response Prompting and Frames for Teaching Sentence Writing to Students With Moderate Intellectual Disability

2016 ◽  
Vol 33 (3) ◽  
pp. 142-149 ◽  
Author(s):  
Robert Pennington ◽  
Allison Flick ◽  
Kendra Smith-Wehr
Keyword(s):  
Intellectual Disability ◽  
Time Delay ◽  
Delay System ◽  
Constant Time Delay ◽  
Intervention Package ◽  
Time Delay System ◽  
Moderate Intellectual Disability ◽  
System Of Least Prompts ◽  
Response Prompting ◽  
Multiple Probe

In the current study, we examined the effects of response prompting strategies (i.e., constant time delay, system of least prompts) and frames on sentence writing for three participants, ages 7 to 12, with moderate intellectual disability. We used a concurrent multiple probe across behaviors design to evaluate the efficacy of the intervention package and posttest probes to assess generalized responding to untrained stimulation. During intervention, the teacher taught two students to construct sentences using selection-based software and another to generate handwritten responses across three different writing frames (i.e., I want _________, I see _____, The _____ is ______). Our findings suggest that the package was effective and produced variable levels of maintenance and generalized responding for all three participants.

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