scholarly journals Determination of the initial value ranges of nonlinear solutions for a log ratio bathymetric inversion model and bathymetry retrieval

Author(s):  
Jiawei Qi ◽  
Dianjun Zhang ◽  
Zhaoyu Ren ◽  
Aijun Cui ◽  
Fei Yin ◽  
...  
Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Xianming Wu ◽  
Weijie Tan ◽  
Huihai Wang

In this paper, a method for determining the initial value of the hidden attractors in the Chua system is studied. The initial value of the hidden attractors can be calculated quickly and accurately by the proposed method, and the hidden attractors can be found by numerical simulation. Then, the initial values of the hidden attractors are set accurately by digital signal processor (DSP), so as to the circuit realization of the chaotic system with hidden attractors is performed. The results show that the numerical simulation results of Matlab are consistent with the experimental results of DSP.


2011 ◽  
Vol 134 (9) ◽  
pp. 094110 ◽  
Author(s):  
Stephanie Y. Y. Wong ◽  
David M. Benoit ◽  
Marius Lewerenz ◽  
Alex Brown ◽  
Pierre-Nicholas Roy

Author(s):  
S. Rosenblat

AbstractA study is made of a non-linear diffusion equation which admits bifurcating solutions in the case where the bifurcation is asymmetric. An analysis of the initial-value problem is made using the method of multiple scales, and the bifurcation and stability characteristics are determined. It is shown that a suitable interpretation of the results can lead to determination of the choice of the bifurcating solution adopted by the system.


Author(s):  
Dike H.U. ◽  
Isaac A.E.

In this paper, the determination of eccentric anomaly (E) for Kepler’s satellite orbit using Perturbation-Based Seeded Secant (PBSS) iteration algorithm is presented. The solution is meant for Kepler’s orbit with the value of eccentricity (e) in the range 0 ≤ e ≤ 1. Such orbits are either circular or elliptical. The demonstration of the applicability of the PBSS iteration is presented using sample numerical examples with different values of mean anomaly (M) and eccentricity (e). The summary of the results of E for M = 30° and e in the range 0.001 ≤ e ≤1 showed that the convergence cycle (n) increases as e increases. Particularly, n increased from 2 at e = 0.01 to n = 8 at e =1. The implication is that it takes more iterations to arrive at the value of E with the desired accuracy or error performance (which in this case is set to 10^(-12)). Another implication is that a good choice of the initial value of E is essential especially as the value of e increases. As such, effort should be made to develop a means of estimating the initial value of E which will reduce the convergence cycle for higher values of e.


2020 ◽  
Vol 64 (12) ◽  
pp. 52-59
Author(s):  
Aisylu Z. Mukharlyamova ◽  
◽  
Aleksandr M. Saifutdinov ◽  
Elvira R. Rakhmetova ◽  
Aygul G. Mukhammetshina ◽  
...  

Antibiotics belonging to the classes of sulfonamides, amphenicols and tetracyclines, such as tetracycline, oxytetracycline and chlortetracycline, are used to control infectious diseases of honeybees. In addition, tetracycline group antibiotics can be added directly to plants during flowering. Contamination of the flower with high concentrations of antibiotics entails the risk of transferring antibiotic residues to honey. Consequently, these antibiotics persist as contaminants in honey, and the determination of these drugs in honey samples is of great importance. Tetracyclines have a broad spectrum of activity against gram-positive and gram-negative bacteria. The basic structure of tetracyclines consists of a hydro-naphthacene framework containing four rings. Due to their possible toxic or allergic reactions and the possibility that pathogens may become resistant to these drugs, much attention has recently been paid to tetracyclines. For the detection of residual quantities of antibiotics in food products increasingly requires reliable analytical methods. The main method for determining tetracycline group antibiotics is the method of high-performance liquid chromatography, but the micro-quantities of their residual concentration and unsatisfactory chromatographic conditions, under which peaks may overlap, as well as insufficient sample preparation conditions, under which matrix components may overlap, make quantitative calculations difficult when using this method. This article describes a method for calculating the initial value of intesiveness and peak width using mathematical modeling. Based on the analysis of real chromatographic data, the applicability of this method for the quantitative determination of tetracycline group antibiotics is shown.


2007 ◽  
Vol 292 (5) ◽  
pp. C1787-C1798 ◽  
Author(s):  
Jing Lu ◽  
Walter F. Boron

Others have shown that H2DIDS reversibly and covalently binds to the first lysine (K) in the SKLIK motif at the extracellular end of transmembrane segment 5 of the Cl-HCO3 exchanger AE1. Here we mutated K558, K559, and/or K562 in the homologous KKMIK motif of human NBCe1-A. We expressed constructs in Xenopus oocytes, and used a two-electrode voltage clamp to test the sensitivity of the NBC current (−160 to +20 mV) to DIDS. A 30-s DIDS exposure decreased the current at 0 mV, and a subsequent albumin wash returned the current to the initial value (less any irreversible DIDS inhibition), permitting the determination of a complete dose-response curve on a single oocyte. For all constructs, the reversible DIDS inhibition of the NBC current decreased at more negative voltages. The apparent inhibitory constant for reversible DIDS binding increased in the sequence RRMIR < KKMIK ( wt, ∼40 μM) < NKMIK ≅ NKMIN ≅ KKMIN < KNMIN ≅ KNMIK < NNMIK < NNMIN (∼400 μM) < DDMID < EEMIE (∼800 μM). Thus the second K is the most important for reversible DIDS blockade. Nevertheless, these mutations had relatively little effect on slope conductance in the absence of DIDS. For KKMIK, RRMIR, NKMIK, KKMIN, KNMIK, and NNMIN, the rates of irreversible inhibition by DIDS roughly parallel the apparent affinities for reversible DIDS binding. The rate was extremely low for DDMID. The fitted maximal inhibitions were 80–91% for the first five constructs, and 66% for NNMIN. Thus DIDS probably reversibly binds before irreversibly reacting with NBCe1-A. Finally, tenidap blocks not only KKMIK, but also NNMIN and EEMIE.


1991 ◽  
Vol 113 (3) ◽  
pp. 458-466 ◽  
Author(s):  
G. M. Zhang ◽  
S. Yerramareddy ◽  
S. M. Lee ◽  
S. C.-Y. Lu

A simulation model is developed to study the dynamic characteristics of intermittent turning operations. Factors such as chip load, free-vibration of the toolpost structure, and nonhomogeneous hardness distribution in the material being cut are incorporated in the model. The principle of superposition is used in the formulation of the simulation algorithm. The impact between the cutting tool and the workpiece at the start of every cutting period during machining is treated as an initial value problem. The simulation model provides a quantitative evaluation of the tool vibratory motion during the intermittent turning process. Study of the cutting dynamics based on the simulation results not only confirms the experimental findings, but also indicates that increasing the static stiffness of the toolpost structure is an effective approach to control the tool vibratory motion. The determination of probability of tool breakage under various spindle speed settings is presented as an example to demonstrate the practical applications of the simulation model developed in this work.


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