scholarly journals Sudden Transition from Equilibrium to Hybrid Chaos and Periodic Oscillations of the State-Dependent Round-Trip Delayed Nonsmooth Compound TCP with GRED Congestion Control System via HB-AFT

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Lijun Pei ◽  
Hongyang Zhang ◽  
Yueli Chen
Keyword(s):  
Transmission Control Protocol ◽  
Low Frequency ◽  
The State ◽  
Positive Equilibrium ◽  
Round Trip ◽  
Very High Frequency ◽  
State Dependent ◽  
Route To Chaos ◽  
Sudden Transition ◽  
Nonsmooth Dynamical Systems

In this paper, the nonsmooth compound transmission control protocol (TCP) with the gentle random early detection (GRED) system with the state-dependent round-trip delay is investigated in detail. Uniqueness of the positive equilibrium is proved firstly. Then, the closed approximate periodic solutions in this state-dependent delayed nonsmooth compound TCP with the GRED model are obtained by employing the harmonic balance and alternating frequency/time domain (HB-AFT) method. Then, we compare the results generated by numerical simulations with those of the closed approximate expressions obtained by HB-AFT. It indicates that HB-AFT is simple, correct, and powerful for state-dependent delayed nonsmooth dynamical systems. Finally, we find the complicated dynamic: chaos. It is a grazing chaos with a hybrid property, i.e., where usually w oscillates at a very low frequency and q oscillates at a very high frequency. And, the route to chaos is a very rare route, i.e., the instantaneous and local transition of stable equilibrium to chaos. So, to the end of stability and good performance, we should adjust the parameters carefully to avoid the periodic and chaotic oscillations.

scholarly journals Low frequency of LRV1 in Leishmania braziliensis strains isolated from typical and atypical lesions in the State of Minas Gerais, Brazil

2016 ◽  
Vol 210 (1-2) ◽  
pp. 50-54 ◽  
Author(s):  
Diego H. Macedo ◽  
Armando Menezes-Neto ◽  
Jeronimo M. Rugani ◽  
Ana C. Rocha ◽  
Soraia O. Silva ◽  
...  
Keyword(s):  
Low Frequency ◽  
Minas Gerais ◽  
The State ◽  
Leishmania Braziliensis

scholarly journals On Uncertainty Relations and Entanglement Detection with Mutually Unbiased Measurements

2015 ◽  
Vol 22 (01) ◽  
pp. 1550005 ◽  
Author(s):  
Alexey E. Rastegin
Keyword(s):  
The State ◽  
Uncertainty Relations ◽  
Trade Off ◽  
Entropic Uncertainty Relations ◽  
Finite Dimensional ◽  
State Dependent ◽  
Entanglement Detection

We formulate some properties of a set of several mutually unbiased measurements. These properties are used for deriving entropic uncertainty relations. Applications of mutually unbiased measurements in entanglement detection are also revisited. First, we estimate from above the sum of the indices of coincidence for several mutually unbiased measurements. Further, we derive entropic uncertainty relations in terms of the Rényi and Tsallis entropies. Both the state-dependent and state-independent formulations are obtained. Using the two sets of local mutually unbiased measurements, a method of entanglement detection in bipartite finite-dimensional systems may be realized. A certain trade-off between a sensitivity of the scheme and its experimental complexity is discussed.

The effect of removing dental plaque with low-frequency ultrasound and ozonized contact medium on the microbiota of the gingival sulcus with diagnosis chronic catarrhal gingivitis of young age patients

2021 ◽  
pp. 98-101
Author(s):  
G. R. Mhoyan ◽  
S. N. Razumova ◽  
A. G. Volkov ◽  
N. Zh. Dikopova ◽  
A. G. Ponomareva ◽  
...  
Keyword(s):  
Young People ◽  
Dental Plaque ◽  
Low Frequency ◽  
The State ◽  
Young Age ◽  
Transient Species ◽  
Resident Species ◽  
Low Frequency Ultrasound ◽  
Frequency Ultrasound ◽  
Ozonated Water

As a result of the study, it was found that the removal of dental plaque using low-frequency ultrasound and ozonized contact medium in chronic generalized catarrhal gingivitis of young people can significantly improve the state of microbiocenosis of the gingival sulcus. The preservation of the main resident species is noted, occasional transient species disappear and the frequency of isolation of aggressive representatives of beta-hemolytic streptococci and periodontopathogenic species decreases. When using ozonated water for the removal of dental deposits, the efficiency of eradication of the microbiota of the gingival sulcus, especially of representatives of aggressive species, is higher than when removing dental deposits without the use of ozonated water.

scholarly journals Analysis of stimulus-related activity in rat auditory cortex using complex spectral coefficients

2013 ◽  
Vol 110 (3) ◽  
pp. 621-639 ◽  
Author(s):  
Bryan M. Krause ◽  
Matthew I. Banks
Keyword(s):  
Low Frequency ◽  
Phase Changes ◽  
Induced Response ◽  
Top Down ◽  
Time Frequency ◽  
State Dependent ◽  
Spectral Coefficients ◽  
The Mean ◽  
Sensory Responses ◽  
Mean Variance

The neural mechanisms of sensory responses recorded from the scalp or cortical surface remain controversial. Evoked vs. induced response components (i.e., changes in mean vs. variance) are associated with bottom-up vs. top-down processing, but trial-by-trial response variability can confound this interpretation. Phase reset of ongoing oscillations has also been postulated to contribute to sensory responses. In this article, we present evidence that responses under passive listening conditions are dominated by variable evoked response components. We measured the mean, variance, and phase of complex time-frequency coefficients of epidurally recorded responses to acoustic stimuli in rats. During the stimulus, changes in mean, variance, and phase tended to co-occur. After the stimulus, there was a small, low-frequency offset response in the mean and modest, prolonged desynchronization in the alpha band. Simulations showed that trial-by-trial variability in the mean can account for most of the variance and phase changes observed during the stimulus. This variability was state dependent, with smallest variability during periods of greatest arousal. Our data suggest that cortical responses to auditory stimuli reflect variable inputs to the cortical network. These analyses suggest that caution should be exercised when interpreting variance and phase changes in terms of top-down cortical processing.

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