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Статті в журналах з теми "Stability intervals"

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Автор: Grafiati

Опубліковано: 30 травня 2022

Оновлено: 31 травня 2022

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1

Satoh, Akira. "Stability of Computational Algorithms Used in Molecular Dynamics Simulations." Journal of Fluids Engineering 117, no. 3 (September 1, 1995): 531–34. http://dx.doi.org/10.1115/1.2817296.

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The present study focuses on a three-dimensional Lennard-Jones system in a thermodynamic equilibrium in order to discuss divergence processes, the relationship between time intervals and divergence times, and the influence of time intervals on thermodynamic quantities and transport coefficients under various number density and temperature. It is found that the velocities of molecules in a system gradually increase with time until the system suddenly diverges exponentially. The time interval-divergence time relationship can be expressed in approximate terms as linear functions if the data are plotted on logarithmic scales, and the system diverges more easily as temperature or number density increases. Thermodynamic quantities show the influence of large time intervals more clearly than do transport coefficients.

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2

Kumiega, Andrew, Thaddeus Neururer, and Ben Van Vliet. "Investor Behavior, Reporting Intervals, and HedgeFund Stability." Journal of Investing 21, no. 2 (May 31, 2012): 40–48. http://dx.doi.org/10.3905/joi.2012.21.2.040.

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3

Mareschal, Bertrand. "Weight stability intervals in multicriteria decision aid." European Journal of Operational Research 33, no. 1 (January 1988): 54–64. http://dx.doi.org/10.1016/0377-2217(88)90254-8.

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4

Kreiss, Gunilla, Heinz-Otto Kreiss, and Jens Lorenz. "Stability of Viscous Shocks on Finite Intervals." Archive for Rational Mechanics and Analysis 187, no. 1 (October 17, 2007): 157–83. http://dx.doi.org/10.1007/s00205-007-0073-5.

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5

Prokofiev, Anton V. "Fast Background Modeling Algorithm Based on Stability Intervals." Journal of Automation and Information Sciences 40, no. 6 (2008): 72–79. http://dx.doi.org/10.1615/jautomatinfscien.v40.i6.70.

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6

Aguarón, Juan, and José Marı́a Moreno-Jiménez. "Local stability intervals in the analytic hierarchy process." European Journal of Operational Research 125, no. 1 (August 2000): 113–32. http://dx.doi.org/10.1016/s0377-2217(99)00204-0.

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7

Gouveia, M. C., L. C. Dias, and C. H. Antunes. "Super-efficiency and stability intervals in additive DEA." Journal of the Operational Research Society 64, no. 1 (January 2013): 86–96. http://dx.doi.org/10.1057/jors.2012.19.

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8

Alonso, Jose Miguel. "Optimal intervals of stability of a forced oscillator." Proceedings of the American Mathematical Society 123, no. 7 (July 1, 1995): 2031. http://dx.doi.org/10.1090/s0002-9939-1995-1301005-7.

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9

Li, Chenhao, and Yusheng Xue. "Effects of cascading failure intervals on synchronous stability." International Journal of Electrical Power & Energy Systems 106 (March 2019): 502–10. http://dx.doi.org/10.1016/j.ijepes.2018.10.036.

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10

Boros, Z., Zs Páles, and P. Volkmann. "On stability for the Jensen equation on intervals." Aequationes Mathematicae 60, no. 3 (November 1, 2000): 291–97. http://dx.doi.org/10.1007/s000100050155.

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11

Elhefnawy, Abdel Raouf F. "Intervals of an unsteady electrohydrodynamic Kelvin-Helmoltz stability." Physica A: Statistical Mechanics and its Applications 214, no. 2 (March 1995): 229–41. http://dx.doi.org/10.1016/0378-4371(94)00232-i.

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12

Barton, Scott, Laura Getz, and Michael Kubovy. "Systematic Variation in Rhythm Production as Tempo Changes." Music Perception 34, no. 3 (February 1, 2017): 303–12. http://dx.doi.org/10.1525/mp.2017.34.3.303.

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Анотація:

We investigated the effect of tempo on the production of the syncopated 3-2 son clave rhythm. We recorded eleven experienced percussionists performing the clave pattern at tempi ranging from 70 bpm to 210 bpm. As tempo increased, percussionists shortened the longest intervals and lengthened the shortest interval towards an intermediate interval that is located in the first and second positions in the pattern. This intermediate interval was stable across tempi. Contrary to prior studies, we found that the complexity of interval ratios had little effect on production accuracy or stability and the “short” interval in the pattern was not particularly stable. These results suggest that as tempo is varied, (1) experienced musicians systematically distort rhythmic intervals, (2) rhythmic configuration, and not just the complexity of interval ratios, affects the production of rhythmic intervals, and (3) the distinction between long and short intervals is context-dependent.

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13

Xu, Y., and J. J. Zhao. "Estimation of Longest Stability Interval for a Kind of Explicit Linear Multistep Methods." Discrete Dynamics in Nature and Society 2010 (2010): 1–18. http://dx.doi.org/10.1155/2010/912691.

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The new explicit linear three-order four-step methods with longest interval of absolute stability are proposed. Some numerical experiments are made for comparing different kinds of linear multistep methods. It is shown that the stability intervals of proposed methods can be longer than that of known explicit linear multistep methods.

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14

Lupei, A. G. "Flowmeter stability in heat meters during intervals between tests." Measurement Techniques 51, no. 5 (May 2008): 559–62. http://dx.doi.org/10.1007/s11018-008-9078-1.

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15

Meunier, Thomas, Claire Ménesguen, Xavier Carton, Sylvie Le Gentil, and Richard Schopp. "Optimal Perturbations of an Oceanic Vortex Lens." Fluids 3, no. 3 (August 31, 2018): 63. http://dx.doi.org/10.3390/fluids3030063.

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The stability properties of a vortex lens are studied in the quasi geostrophic (QG) framework using the generalized stability theory. Optimal perturbations are obtained using a tangent linear QG model and its adjoint. Their fine-scale spatial structures are studied in details. Growth rates of optimal perturbations are shown to be extremely sensitive to the time interval of optimization: The most unstable perturbations are found for time intervals of about 3 days, while the growth rates continuously decrease towards the most unstable normal mode, which is reached after about 170 days. The horizontal structure of the optimal perturbations consists of an intense counter-shear spiralling. It is also extremely sensitive to time interval: for short time intervals, the optimal perturbations are made of a broad spectrum of high azimuthal wave numbers. As the time interval increases, only low azimuthal wave numbers are found. The vertical structures of optimal perturbations exhibit strong layering associated with high vertical wave numbers whatever the time interval. However, the latter parameter plays an important role in the width of the vertical spectrum of the perturbation: short time interval perturbations have a narrow vertical spectrum while long time interval perturbations show a broad range of vertical scales. Optimal perturbations were set as initial perturbations of the vortex lens in a fully non linear QG model. It appears that for short time intervals, the perturbations decay after an initial transient growth, while for longer time intervals, the optimal perturbation keeps on growing, quickly leading to a non-linear regime or exciting lower azimuthal modes, consistent with normal mode instability. Very long time intervals simply behave like the most unstable normal mode. The possible impact of optimal perturbations on layering is also discussed.

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16

Matsuda, Tadasuke, Michihiro Kawanishi, and Tatsuo Narikiyo. "Complete Stability Intervals of Symmetric Matrices with Multiple Parameters — Generalization of the Stability Feeler." IFAC Proceedings Volumes 44, no. 1 (January 2011): 11368–73. http://dx.doi.org/10.3182/20110828-6-it-1002.01709.

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17

Gniazdowska, Elżbieta, Wojciech Goch, Joanna Giebułtowicz, and Piotr J. Rudzki. "Replicates Number for Drug Stability Testing during Bioanalytical Method Validation—An Experimental and Retrospective Approach." Molecules 27, no. 2 (January 11, 2022): 457. http://dx.doi.org/10.3390/molecules27020457.

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Background: The stability of a drug or metabolites in biological matrices is an essential part of bioanalytical method validation, but the justification of its sample size (replicates number) is insufficient. The international guidelines differ in recommended sample size to study stability from no recommendation to at least three quality control samples. Testing of three samples may lead to results biased by a single outlier. We aimed to evaluate the optimal sample size for stability testing based on 90% confidence intervals. Methods: We conducted the experimental, retrospective (264 confidence intervals for the stability of nine drugs during regulatory bioanalytical method validation), and theoretical (mathematical) studies. We generated experimental stability data (40 confidence intervals) for two analytes—tramadol and its major metabolite (O-desmethyl-tramadol)—in two concentrations, two storage conditions, and in five sample sizes (n = 3, 4, 5, 6, or 8). Results: The 90% confidence intervals were wider for low than for high concentrations in 18 out of 20 cases. For n = 5 each stability test passed, and the width of the confidence intervals was below 20%. The results of the retrospective study and the theoretical analysis supported the experimental observations that five or six repetitions ensure that confidence intervals fall within 85–115% acceptance criteria. Conclusions: Five repetitions are optimal for the assessment of analyte stability. We hope to initiate discussion and stimulate further research on the sample size for stability testing.

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18

Jaulin, L., and J. Burger. "Proving set inclusion via intervals: application to parametric robust stability." Automatica 35, no. 4 (April 1999): 627–32. http://dx.doi.org/10.1016/s0005-1098(98)00201-5.

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19

Leyva-Ramos, J., and J. A. Morales-Saldaña. "Computation of delay intervals for stability of time-delay systems." Applied Mathematics and Computation 183, no. 2 (December 2006): 980–89. http://dx.doi.org/10.1016/j.amc.2006.05.145.

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20

Brame, Hannah-Maria R., and Alycia L. Stigall. "Controls on niche stability in geologic time: congruent responses to biotic and abiotic environmental changes among Cincinnatian (Late Ordovician) marine invertebrates." Paleobiology 40, no. 1 (2014): 70–90. http://dx.doi.org/10.1666/13035.

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The set of environmental conditions under which a taxon can survive and maintain viable populations, known as the ecological niche, is a fundamental determinant of a taxon's distribution. Because of the central importance of ecological niches, they have been assumed to remain relatively stable during intervals of morphological stasis. However, the assumption of niche stability has rarely been tested directly with fossil data spanning multiple temporal intervals. Thus, the conditions under which this assumption is likely to be accurate are not well understood. In this study, we use ecological niche modeling (ENM) to reconstruct the ecological niche for 11 genera of marine benthos (crinoids, trilobites, molluscs, bryozoans, and corals) from the Type Cincinnatian Series (Late Ordovician, Katian Stage) across nine temporal intervals spanning approximately three million years. This interval includes both abiotic environmental change (gradual sea-level fall) and biotic change (rapid pulses of the Richmondian Invasion), thus allowing the relative effect of different environmental perturbations to be constrained. A previous symmetrical analysis of niche stability of brachiopod species recovered an increase in niche evolution following the Richmondian Invasion. Herein we test the generality of the brachiopod pattern within the community. Niche stability was evaluated in geographic space, ecological space, and niche parameter space. Niche stability varied through time; during the Pre-Invasion interval, taxa exhibited niche stability during gradual shallowing of sea level in the basin, whereas niche evolution became more common during the Richmondian Invasion. Taxa adjusted to the increased competition by altering aspects of their niche. Notably, surviving taxa contracted their niche into a subset of their previous niche parameters. This represents an adaptive response to increased competition for resources with the newly established invader taxa, and it was employed most successfully by generalist taxa. Patterns of niche evolution were congruent between clades, among feeding styles, and across taxonomic levels.

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21

Mauleón, Ignacio. "Contributions to Risk Assessment with Edgeworth–Sargan Density Expansions (I): Stability Testing." Mathematics 10, no. 7 (March 27, 2022): 1074. http://dx.doi.org/10.3390/math10071074.

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This paper analytically derives a stability test for the probability distribution of a random variable that follows the Edgeworth–Sargan density, also called Gram–Charlier. The distribution of the test is a weighted sum of Chi-squared densities of increasing degrees of freedom, starting with the standard equivalent Chi-squared under the same conditions. The weights turn out to be linear combinations of the parameters of the distribution and the moments of a Gaussian density, and can be computed exactly. This is a convenient result, since then the probability intervals can be easily calculated from existing Chi-squared distribution tables. The test is applied to assess the weekly solar irradiance data stability for a twelve-year period. It shows that the density is acceptably stable overall, except for some eventual and localised dates. It is also shown that the usual probability intervals implemented in stability testing are larger than those of the equivalent Chi-squared distribution under comparable conditions. This implies that the common upper tail interval values for rejecting the null stability hypothesis are larger.

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22

Machackova, K., M. Boselova, I. Vanova, Z. Drabkova, and J. Doubek. "Evaluation of kaolin-activated thromboelastography and sample stability in healthy horses." Veterinární Medicína 63, No. 5 (May 29, 2018): 203–9. http://dx.doi.org/10.17221/16/2018-vetmed.

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Thromboelastography is an accurate alternative to routine coagulation testing for the monitoring of haemostasis. However, its use in equine medicine is limited not only by the lack of reference interval values for kaolin-activated citrated samples, but also by the limited accessibility of the test for field practitioners within the 2-hour storage time recommended by the manufacturer. To address this issue, we here evaluated kaolin-activated thromboelastography using a TEG<sup>®</sup> 5000 Thrombelastograph<sup>®</sup> Hemostasis System in 36 healthy horses, and sample stability was evaluated at four timepoints post collection in seven horses. Reference values were established as follows: reaction-time 5.0–16.0 min, K-time (period in which the clot strength reaches 20 mm of amplitude) 1.1–5.2 min, α-angle (speed of fibrin cross-linking) 36.5–79.0°, maximal amplitude 44.5–69.7 mm, fibrinolysis 30 minutes after maximal amplitude was reached 0.0–2.8%. During storage, the trends in the changes of values were similar for most parameters, and values remained mostly within the reference intervals. Thromboelastography is thus useful in defining thrombohaemorrhagic complications in horses but can be sensitive to preanalytical factors and storage.

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23

Movchan, Leonid, and Sergey Movchan. "INVESTIGATION OF THE GEOMETRY OF THE D-PARTITION OF ONE-DIMENSIONAL PLANE OF PARAMETER OF THE CHARACTERISTIC EQUATION OF A CONTINUOUS SYSTEM." Journal of Automation and Information sciences 4 (July 1, 2021): 125–36. http://dx.doi.org/10.34229/1028-0979-2021-4-12.

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The paper considers two types of boundaries of the D-partition in the plane of one parameter of linear continuous systems given by the characteristic equation with real coefficients. The number of segments and intervals of stability of the X-partition curve is estimated. The maximum number of stability intervals is determined for different orders of polynomials of the equation of the boundary of the D-partition of the first kind (even order, odd order, one of even order, and the other of odd order). It is proved that the maximum number of stability intervals of a one-parameter family is different for all cases and depends on the ratio of the degrees of the polynomials of the equation of the D-partition curve. The derivative of the imaginary part of the expression of the investigated parameter at the initial point of the D-partition curve is obtained in an analytical form, the sign of which depends on the ratio of the coefficients of the characteristic equation and establishes the stability of the first interval of the real axis of the parameter plane. It is shown that for another type of the boundary of the D-partition in the plane of one parameter, there is only one interval of stability, the location of which, as for the previous type of the boundary of the stability region (BSR), is determined by the sign of the first derivative of the imaginary part of the expression of the parameter under study. Consider an example that illustrates the effectiveness of the proposed approach for constructing a BSR in a space of two parameters without using «Neimark hatching» and constructing special lines. In this case, a machine implementation of the construction of the stability region is provided. Considering that the problem of constructing the boundary of the stability region in the plane of two parameters is reduced to the problem of determining the BSR in the plane of one parameter, then the given estimates of the maximum number of stability regions in the plane of one parameter allow us to conclude about the number of maximum stability regions in the plane of two parameters, which are of practical interest. In this case, one of the parameters can enter nonlinearly into the coefficients of the characteristic equation.

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24

van Grootheest, Daniël S., Daniëlle Cath, Jouke Jan Hottenga, Aartjan T. Beekman, and Dorret I. Boomsma. "Genetic Factors Underlie Stability of Obsessive–Compulsive Symptoms." Twin Research and Human Genetics 12, no. 5 (October 1, 2009): 411–19. http://dx.doi.org/10.1375/twin.12.5.411.

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AbstractThe contribution of genetic and environmental factors to the stability of obsessive–compulsive (OC) symptoms has not yet been established in adult population based samples. We obtained the Young Adult Self Report Obsessive–Compulsive Subscale in mono- and dizygotic twins from the population-based Netherlands Twin Register in 1991, 1995 and 1997 and the Padua Inventory Revised Abbreviated in 2002. Stability of OC symptoms was analyzed as a function of genetic and environmental components. Heritability of OC behavior was around 40% at each time-point, independent of the instrument used. OC behavior was moderately stable with correlations ranging between r = .2 (for 11-year intervals), .4 (for 4–5 year intervals) and .6 (for 2 year intervals). Genetic correlations across time were higher, varying between .4 and .9, indicating that the stability of OC symptoms is mainly due to stable genetic factors. This study showed a moderate heritability and stability for OC behavior in adults. Genetic stability across time is high.

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25

A.A., Nesenchuk. "Investigation and robust synthesis of polynomials under perturbations based on the root locus parameter distribution diagram." Artificial Intelligence 24, no. 1-2 (November 15, 2019): 25–33. http://dx.doi.org/10.15407/jai2019.01-02.025.

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Investigation of the 4 th order dynamic systems characteristic polynomials behavior in conditions of the interval parametric uncertainties is carried out on the basis of root locus portraits. The roots behavior regularities and corresponding diagrams for the root locus parameter distribution along the asymptotic stability bound are specified for the root locus portraits of the systems. On this basis the stability conditions are derived, graphic-analytical method is worked out for calculating intervals of variation for the polynomial family parameters ensuring its robust stability. The discovered regularities of the system root locus portrait behavior allow to extract hurwitz sub-families from the non-hurwitz families of interval polynomials and to determine whether there exists at least one stable polynomial in the unstable polynomial family.

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26

Zhu, Yongliang, and Prabhakar R. Pagilla. "Adaptive Estimation of Time-Varying Parameters in Linearly Parametrized Systems." Journal of Dynamic Systems, Measurement, and Control 128, no. 3 (July 19, 2005): 691–95. http://dx.doi.org/10.1115/1.2234488.

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Анотація:

Adaptive estimation of time-varying parameters in linearly parametrized systems is considered. The estimation time is divided into small intervals; in each interval the time-varying parameter is approximated by a time polynomial with unknown coefficients. A condition for resetting of the parameter estimate at the beginning of each interval is derived; the condition guarantees that the estimate of the time-varying parameter is continuous and also allows for the coefficients of the polynomial to be different in various time intervals. A modified version of the least-squares algorithm is provided to estimate the time-varying parameters. Stability of the proposed algorithm is shown and discussed. Simulation results on an example are given to validate the proposed method.

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27

Öğrekçi, Süleyman. "Stability of delay differential equations in the sense of Ulam on unbounded intervals." An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 9, no. 2 (March 13, 2019): 125–31. http://dx.doi.org/10.11121/ijocta.01.2019.00628.

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Анотація:

In this paper, we consider the stability problem of delay differential equations in the sense of Hyers-Ulam-Rassias. Recently this problem has been solved for bounded intervals, our result extends and improve the literature by obtaining stability in unbounded intervals. An illustrative example is also given to compare these results and visualize the improvement.

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28

Arifin, Nooranida, Noor Azuan Abu Osman, and Wan Abu Bakar Wan Abas. "Intrarater Test-Retest Reliability of Static and Dynamic Stability Indexes Measurement Using the Biodex Stability System During Unilateral Stance." Journal of Applied Biomechanics 30, no. 2 (April 2014): 300–304. http://dx.doi.org/10.1123/jab.2013-0130.

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Анотація:

The measurements of postural balance often involve measurement error, which affects the analysis and interpretation of the outcomes. In most of the existing clinical rehabilitation research, the ability to produce reliable measures is a prerequisite for an accurate assessment of an intervention after a period of time. Although clinical balance assessment has been performed in previous study, none has determined the intrarater test-retest reliability of static and dynamic stability indexes during dominant single stance. In this study, one rater examined 20 healthy university students (female = 12, male = 8) in two sessions separated by 7 day intervals. Three stability indexes—the overall stability index (OSI), anterior/posterior stability index (APSI), and medial/lateral stability index (MLSI) in static and dynamic conditions—were measured during single dominant stance. Intraclass correlation coefficient (ICC), standard error measurement (SEM) and 95% confidence interval (95% CI) were calculated. Test-retest ICCs for OSI, APSI, and MLSI were 0.85, 0.78, and 0.84 during static condition and were 0.77, 0.77, and 0.65 during dynamic condition, respectively. We concluded that the postural stability assessment using Biodex stability system demonstrates good-to-excellent test-retest reliability over a 1 week time interval.

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29

Fukuyo, Kazuhiro. "Conditional stability of Larkin methods with non-uniform grids." Theoretical and Applied Mechanics 37, no. 2 (2010): 139–59. http://dx.doi.org/10.2298/tam1002139f.

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Анотація:

Stability analysis based on the von Neumann method showed that the Larkin methods for two-dimensional heat conduction with non- uniform grids are conditionally stable while they are known to be unconditionally stable with uniform grids. The stability criteria consisting of the dimensionless time step ?t, the space intervals ?x, ?y, and the ratios of neighboring space intervals ?, ? were derived from the stability analysis. A subsequent numerical experiment demonstrated that solutions derived by the Larkin methods with non-uniform grids lose stability and accuracy when the criteria are not satisfied.

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30

Schwartz, Manuel, Stefan Krebs, and Sören Hohmann. "Guaranteed State Estimation Using a Bundle of Interval Observers with Adaptive Gains Applied to the Induction Machine." Sensors 21, no. 8 (April 7, 2021): 2584. http://dx.doi.org/10.3390/s21082584.

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Анотація:

The scope of this paper is the design of an interval observer bundle for the guaranteed state estimation of an uncertain induction machine with linear, time-varying dynamics. These guarantees are of particular interest in the case of safety-critical systems. In many cases, interval observers provide large intervals for which the usability becomes impractical. Hence, based on a reduced-order hybrid interval observer structure, the guaranteed enclosure within intervals of the magnetizing current’s estimates is improved using a bundle of interval observers. One advantage of such an interval observer bundle is the possibility to reinitialize the interval observers at specified timesteps during runtime with smaller initial intervals, based on previously observed system states, resulting in decreasing interval widths. Thus, unstable observer dynamics are considered so as to take advantage of their transient behavior, whereby the overall stability of the interval estimation is maintained. An algorithm is presented to determine the parametrization of reduced-order interval observers. To this, an adaptive observer gain is introduced with which the system states are observed optimally by considering a minimal interval width at variable operating points. Furthermore, real-time capability and validation of the proposed methods are shown. The results are discussed with simulations as well as experimental data obtained with a test bench.

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31

Aguarón, Juan, Marı́a Teresa Escobar, and José Marı́a Moreno-Jiménez. "Consistency stability intervals for a judgement in AHP decision support systems." European Journal of Operational Research 145, no. 2 (March 2003): 382–93. http://dx.doi.org/10.1016/s0377-2217(02)00544-1.

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32

Urinov, I. K. "Homogeneity tests with an increasing number of pooling intervals. stability problems." Journal of Mathematical Sciences 69, no. 4 (April 1994): 1220–31. http://dx.doi.org/10.1007/bf01249810.

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33

Marusich, Julie A., and Marc N. Branch. "Stability of cocaine dose–response functions at different inter-dose intervals." Pharmacology Biochemistry and Behavior 84, no. 2 (June 2006): 360–69. http://dx.doi.org/10.1016/j.pbb.2006.05.028.

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34

Szyszkowicz, M. "The intervals of stability of Runge-Kutta methods after Richardson extrapolation." Applicationes Mathematicae 18, no. 4 (1985): 657–61. http://dx.doi.org/10.4064/am-18-4-657-661.

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35

Barberis, Gabriela, and M. del Carmen Ródenas. "Weight Stability Intervals in Multicriteria Decision Aid Under Semiorder Preference Structures." Annals of Management Science 3, no. 1 (2014): 65–84. http://dx.doi.org/10.24048/ams3.no1.2014-65.

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36

Beyn, Wolf-Jürgen, and Jens Lorenz. "Stability of traveling waves: dichotomies and eigenvalue conditions on finite intervals." Numerical Functional Analysis and Optimization 20, no. 3-4 (January 1999): 201–44. http://dx.doi.org/10.1080/01630569908816889.

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37

Yin, Zongming, Xiefu Jiang, and Fang Wang. "Stability Criteria for Systems with Multiple Probabilistic Intervals Time-varying Delay." International Journal of Control, Automation and Systems 18, no. 4 (November 6, 2019): 877–85. http://dx.doi.org/10.1007/s12555-019-0309-9.

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38

Chiba, Satoshi. "Synchronized evolution in lineages of land snails in oceanic islands." Paleobiology 24, no. 1 (1998): 99–108. http://dx.doi.org/10.1017/s0094837300019990.

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Анотація:

Synchronous episodes of phenotypic change in five lineages of the endemic land snail genus Mandarina of the oceanic Bonin (Ogasawara) Islands through 40,000 years were documented by morphological analyses of radiocarbon-dated fossil specimens. Adult shell traits of these lineages show mostly synchronous patterns of change with longer intervals of stability and rapid shifts to other states of stability. Although there are intermediates between these different phenotypic states, the net interval of the phenotypic shift was relatively short, i.e., no longer than 7000 years. Extinction of a lineage and speciation occurred during the intervals of the rapid phenotypic shift. This period of abrupt change corresponds to the period of lowest sea level and end of the last glacial period. This implies that climatic change is one of the causes of these episodes of simultaneous rapid phenotypic shifts, speciation, and extinction in different lineages. These findings suggest that major phenotypic changes in phyletic evolution, separation of different species, and extinction of lineages may occur synchronously in many lineages during an extremely short interval.

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39

Zhou, Xin, Hexin Zhang, Xiaoxiang Hu, Junjun Hui, and Tianmei Li. "Improved Results on Robust Stability for Systems with Interval Time-Varying Delays and Nonlinear Perturbations." Mathematical Problems in Engineering 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/898260.

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This paper investigated delay-dependent robust stability criteria for systems with interval time-varying delays and nonlinear perturbations. A delay-partitioning approach is used in this paper, the delay-interval is partitioned into multiple equidistant subintervals, a new Lyapunov-Krasovskii (L-K) functional contains some triple-integral terms, and augment terms are introduced on these intervals. Then, by using integral inequalities method together with free-weighting matrix approach, a new less conservative delay-dependent stability criterion is formulated in terms of linear matrix inequalities (LMIs), which can be easily solved by optimization algorithms. Numerical examples are given to show the effectiveness and the benefits of the proposed method.

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40

De la Sen, M. "On Some Sufficiency-Type Global Stability Results for Time-Varying Dynamic Systems with State-Dependent Parameterizations." International Journal of Differential Equations 2019 (October 1, 2019): 1–15. http://dx.doi.org/10.1155/2019/5097974.

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This paper formulates sufficiency-type global stability and asymptotic stability results for, in general, nonlinear time-varying dynamic systems with state-trajectory solution-dependent parameterizations. The stability proofs are based on obtaining sufficiency-type conditions which guarantee that either the norms of the solution trajectory or alternative interval-type integrals of the matrix of dynamics of the higher-order than linear terms do not grow faster than their available supremum on the preceding time intervals. Some extensions are also given based on the use of a truncated Taylor series expansion of chosen truncation order with multiargument integral remainder for the dynamics of the differential system.

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41

Hou, Liyuan, Hong Zhu, Shouming Zhong, Yong Zeng, and Lin Shi. "State Estimation for Discrete-Time Stochastic Neural Networks with Mixed Delays." Journal of Applied Mathematics 2014 (2014): 1–14. http://dx.doi.org/10.1155/2014/209486.

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This paper investigates the analysis problem for stability of discrete-time neural networks (NNs) with discrete- and distribute-time delay. Stability theory and a linear matrix inequality (LMI) approach are developed to establish sufficient conditions for the NNs to be globally asymptotically stable and to design a state estimator for the discrete-time neural networks. Both the discrete delay and distribute delays employ decomposing the delay interval approach, and the Lyapunov-Krasovskii functionals (LKFs) are constructed on these intervals, such that a new stability criterion is proposed in terms of linear matrix inequalities (LMIs). Numerical examples are given to demonstrate the effectiveness of the proposed method and the applicability of the proposed method.

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42

Gayvoronskiy, S. A., T. A. Ezangina, I. V. Khozhaev, and A. A. Nesenchuk. "Analyzing Robust Stability of an Interval Control System on the Basis of Vertex Polynomials." Mekhatronika, Avtomatizatsiya, Upravlenie 20, no. 5 (May 25, 2019): 266–73. http://dx.doi.org/10.17587/mau.20.266-273.

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In the paper, a characteristic polynomial of an interval control system, whose coefficients are unknown or may vary within certain ranges of values, is considered. Parametric variations cause migration of interval characteristic polynomial roots within their allocation areas, whose borders determine robust stability degree of the interval control system. To estimate a robust stability degree, a projection of a polytope of interval characteristic polynomial coefficients on a complex plane must be examined. However, in order to find a robust stability degree it is enough to examine some vertices of a coefficient polytope and not the whole polytope. To find these vertices, which fully determine a robust stability degree, it is proposed to use a basic phase equation of a root locus method. Considering the requirements to placing allocation areas of system poles an interval extension of expressions for angles included to the phase equation. The set of statements, allowing to find a sum of pole angles intervals in the case of degree of oscillating robust stability, were formulated and proved. From these statements, a set of double interval angular inequalities was derived. The inequalities determine ranges of angles of all root locus edge branches departure from every pole. Considered research resulted in a procedure of finding coordinates of verifying vertices of a coefficients polytope and vertex polynomials according to these vertices. Such polynomials were found for oscillating robust stability degree analysis of interval control systems of the second, the third and the forth order. Also, similar statements were derived for aperiodical robust stability degree analysis. Numerical examples of vertex analysis of oscillating and aperiodical robust stability degree were provided for interval control systems of the second, the third and the fourth order. Obtained results were proved by examining root allocation areas of interval characteristic polynomials examined in application examples of proposed methods.

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43

Çakan, Sümeyye. "From quasilinear structures to population dynamics: Global stability analysis of an uncertain nonlinear delay system with interval approach." Open Journal of Mathematical Sciences 6, no. 1 (March 15, 2022): 35–50. http://dx.doi.org/10.30538/oms2022.0177.

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In this paper, we analyze a new continuous-time epidemic model including nonlinear delay differential equations by using parameters and functions selected from a class of intervals whose algebraic basis is based on quasilinear spaces. The main idea in the model’s generic structure is based on uncertainties in the values of parameters and functions forming the model. Therefore, using an interval coefficient approach rather than the exact value of parameters and functions that define transmissions between the compartments in the population dynamics will better represent the reality. Furthermore, preferring such an approach provides more realistic scenarios for temporal and stability dynamics of a population exposed to a disease. In this study, the quasilinear space is defined to explain the mathematical background of the interval approach in the fictional chain of the model. Next, descriptions belonging to the introduced model are included. After this compartmental system is presented as two systems formed by the lower and upper endpoints of the intervals determining parameters and functions, local and global dynamics related to stabilities of the models are analyzed separately for each. Then, using some interval analysis and functional analysis methods, these results are combined, and a conclusion about the stability of the proposed epidemic model has been reached. Alongside, the performance of the proposed approach is demonstrated by a visual simulation.

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44

Wang, JinRong, and Xuezhu Li. "On the Stability of Nonautonomous Linear Impulsive Differential Equations." Journal of Function Spaces and Applications 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/425102.

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Анотація:

We introduce two Ulam's type stability concepts for nonautonomous linear impulsive ordinary differential equations. Ulam-Hyers and Ulam-Hyers-Rassias stability results on compact and unbounded intervals are presented, respectively.

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45

HARASHIMA, TSUNEO. "Stability of auditory middle latency response. Influence of stimulation intervals and filters." AUDIOLOGY JAPAN 29, no. 5 (1986): 629–30. http://dx.doi.org/10.4295/audiology.29.629.

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46

Zhang, Huan, Wenbing Zhang, and Zhi Li. "Stability of delayed neural networks with impulsive strength-dependent average impulsive intervals." Journal of Nonlinear Sciences and Applications 11, no. 03 (March 28, 2018): 602–12. http://dx.doi.org/10.22436/jnsa.011.05.02.

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47

Chan, Tony F., and Tom Kerkhoven. "Fourier Methods with Extended Stability Intervals for the Korteweg–de Vries Equation." SIAM Journal on Numerical Analysis 22, no. 3 (June 1985): 441–54. http://dx.doi.org/10.1137/0722026.

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48

Jie Chen. "On computing the maximal delay intervals for stability of linear delay systems." IEEE Transactions on Automatic Control 40, no. 6 (June 1995): 1087–93. http://dx.doi.org/10.1109/9.388690.

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49

Facal, David, Joan Guàrdia-Olmos, Arturo X. Pereiro, Cristina Lojo-Seoane, Maribel Peró, and Onésimo Juncos-Rabadán. "Using an Overlapping Time Interval Strategy to Study Diagnostic Instability in Mild Cognitive Impairment Subtypes." Brain Sciences 9, no. 9 (September 19, 2019): 242. http://dx.doi.org/10.3390/brainsci9090242.

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(1) Background: Mild cognitive impairment (MCI) is a diagnostic label in which stability is typically low. The aim of this study was to examine temporal changes in the diagnosis of MCI subtypes by using an overlapping-time strategy; (2) Methods: The study included 435 participants aged over 50 years with subjective cognitive complaints and who completed at least one follow-up evaluation. The probability of transition was estimated using Bayesian odds ratios; (3) Results: Within the different time intervals, the controls with subjective cognitive complaints represented the largest proportion of participants, followed by sda-MCI at baseline and in the first five intervals of the follow-up, but not in the last eight intervals. The odds ratios indicated higher odds of conversion to dementia in sda-MCI and mda-MCI groups relative to na-MCI (e.g., interval 9–15 months—sda-MCI OR = 9 and mda-MCI OR = 3.36; interval 27–33—sda-MCI OR = 16 and mda-MCI = 5.06; interval 42–48—sda-MCI OR = 8.16 and mda-MCI = 3.45; interval 45–51—sda-MCI OR = 3.31 and mda-MCI = 1); (4) Conclusions: Notable patterns of instability consistent with the current literature were observed. The limitations of a prospective approach in the study of MCI transitions are discussed.

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50

Sadykov, M. I., P. A. Blinov, and M. V. Nutskova. "Use of the water-swellable polymers (WSP) for wellbore stabilization in intensely fractured rock intervals." E3S Web of Conferences 266 (2021): 01013. http://dx.doi.org/10.1051/e3sconf/202126601013.

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Current research on the stability of well walls when drilling in fractured rocks and also when drilling inclined sections of the well profile are based on the assessment of the effect of drilling fluid filtrate. The novelty of this work lies in studying the complex effect of a water-swellable polymer on the stability of well wall, on the one hand, and on the controlled loss of circulation on the other. For preparing rock samples, a method was used based on standard laboratory equipment fordrilling fluid properties. The well wall stability tests are performedon a direct shear apparatus.The WSP composition based on alcohol, ether, and surfactant (Polyecanol Flora) showed its efficiency by increasing the stability coefficient with the engagement of less and more internal friction angle.PHPA-based viscoelastic composition showed the best result by increasing the stability coefficient in the hazardous areas by 50-60%.

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