Journal articles on the topic 'Spatial stability analysis'

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1

Bischof, Walter F., and Terry Caelli. "Parsing scale-space spatial stability analysis." Computer Vision, Graphics, and Image Processing 41, no. 2 (February 1988): 263. http://dx.doi.org/10.1016/0734-189x(88)90025-4.

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2

Lajús, F. C., A. Sinha, A. V. G. Cavalieri, C. J. Deschamps, and T. Colonius. "Spatial stability analysis of subsonic corrugated jets." Journal of Fluid Mechanics 876 (August 8, 2019): 766–91. http://dx.doi.org/10.1017/jfm.2019.573.

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The linear stability of high-Reynolds-number corrugated jets is investigated by solving the compressible Rayleigh equation linearized about the time-averaged flow field. A Floquet ansatz is used to account for periodicity of this base flow in the azimuthal direction. The origin of multiple unstable solutions, which are known to appear in these non-circular configurations, is traced through gradual perturbations of a parametrized base-flow profile. It is shown that all unstable modes are corrugated jet continuations of the classical Kelvin–Helmholtz modes of circular jets, highlighting that the same instability mechanism, modified by corrugations, leads to the growth of disturbances in such flows. It is found that under certain conditions the eigenvalues may form saddles in the complex plane and display axis switching in their eigenfunctions. A parametric study is also conducted to understand how penetration and number of corrugations impact stability. The effect of these geometric properties on growth rates and phase speeds of the multiple unstable modes is explored, and the results provide guidelines for the development of nozzle configurations that more effectively modify the Kelvin–Helmholtz instability.
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3

Vera, J. Fernando, José M. Angulo, and Juan A. Roldán. "Stability analysis in nonstationary spatial covariance estimation." Stochastic Environmental Research and Risk Assessment 31, no. 3 (February 17, 2016): 815–28. http://dx.doi.org/10.1007/s00477-016-1228-4.

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4

Bischof, Walter F., and Terry Caelli. "Parsing scale-space and spatial stability analysis." Computer Vision, Graphics, and Image Processing 42, no. 2 (May 1988): 192–205. http://dx.doi.org/10.1016/0734-189x(88)90163-6.

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5

Wang, Yu-Jie, and Paul Chiasson. "Stochastic stability analysis of a test excavation involving spatially variable subsoil." Canadian Geotechnical Journal 43, no. 10 (October 1, 2006): 1074–87. http://dx.doi.org/10.1139/t06-062.

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A stochastic slope stability analysis method is proposed to investigate the short-term stability of unsupported excavation works in a soft clay deposit having spatially variable properties. Spatial variability of undrained shear strength is modelled by a stochastic model that is the sum of a trend component and a fluctuation component. The undrained shear strength trend, which is also spatially variable, is modelled by kriging or a random function. Slope stability analyses are performed on the stochastic soft clay model to investigate the contribution of spatial variability of undrained shear strength to a disagreement among high factors of safety computed from deterministic methods for slopes that have failed. Probabilities of failure as computed from the stochastic analyses give a better assessment of failure potential. Probability of failure values also correlate with time delay before failure. This phenomenon may be related to progressive failure or creep and to pore pressure dissipation with time.Key words: slope stability analysis, failure probability, spatial variability, stochastic modelling, geostatistics, vane tests, sensitive clay.
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6

KIM, M. Y., S. P. CHANG, and S. B. KIM. "SPATIAL STABILITY ANALYSIS OF THIN-WALLED SPACE FRAMES." International Journal for Numerical Methods in Engineering 39, no. 3 (February 15, 1996): 499–525. http://dx.doi.org/10.1002/(sici)1097-0207(19960215)39:3<499::aid-nme867>3.0.co;2-z.

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7

Muller, André Luís, Eurípedes do Amaral Vargas, Luiz Eloy Vaz, and Clemente José Gonçalves. "Borehole stability analysis considering spatial variability and poroelastoplasticity." International Journal of Rock Mechanics and Mining Sciences 46, no. 1 (January 2009): 90–96. http://dx.doi.org/10.1016/j.ijrmms.2008.05.001.

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8

Getz, Michael C., Jasmine A. Nirody, and Padmini Rangamani. "Stability analysis in spatial modeling of cell signaling." Wiley Interdisciplinary Reviews: Systems Biology and Medicine 10, no. 1 (August 8, 2017): e1395. http://dx.doi.org/10.1002/wsbm.1395.

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9

Sandstede, Björn, and Arnd Scheel. "On the Stability of Periodic Travelling Waves with Large Spatial Period." Journal of Differential Equations 172, no. 1 (May 2001): 134–88. http://dx.doi.org/10.1006/jdeq.2000.3855.

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10

Bordenave, C. "Stability of spatial queueing systems." Advances in Applied Probability 38, no. 2 (June 2006): 487–504. http://dx.doi.org/10.1239/aap/1151337081.

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In this paper, we analyze a queueing system characterized by a space-time arrival process of customers served by a countable set of servers. Customers arrive at points in space and the server stations have space-dependent processing rates. The workload is seen as a Radon measure and the server stations can adapt their power allocation to the current workload. We derive the stability region of the queueing system in the usual stationary ergodic framework. The analysis of this stability region gives some counter-intuitive results. Some specific subclasses of policy are also studied. Wireless communications networks is a natural field of application for the model.
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11

Bordenave, C. "Stability of spatial queueing systems." Advances in Applied Probability 38, no. 02 (June 2006): 487–504. http://dx.doi.org/10.1017/s0001867800001063.

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In this paper, we analyze a queueing system characterized by a space-time arrival process of customers served by a countable set of servers. Customers arrive at points in space and the server stations have space-dependent processing rates. The workload is seen as a Radon measure and the server stations can adapt their power allocation to the current workload. We derive the stability region of the queueing system in the usual stationary ergodic framework. The analysis of this stability region gives some counter-intuitive results. Some specific subclasses of policy are also studied. Wireless communications networks is a natural field of application for the model.
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12

Sun, Fuyan, and Zongwang Lu. "Stability and Spatial Chaos in 2D Henon System." Applied Mathematics & Information Sciences 10, no. 2 (March 1, 2016): 739–46. http://dx.doi.org/10.18576/amis/100234.

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13

Wang, Xing, and Fan Wang. "Influence Analysis of Joint's Stiffness on Spatial Reticulated Shell." Advanced Materials Research 163-167 (December 2010): 439–42. http://dx.doi.org/10.4028/www.scientific.net/amr.163-167.439.

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Joint’s stiffness has important influence on the stability behavior of large-span spatial reticulated shell. In this paper, the nonlinear beam-column element with end springs is taken as the analysis model of members of single-layer reticulated shell, the whole process of nonlinear stability for single-layer reticulated shell is analyzed with the software ANSYS, the influence of joint’s stiffness on the stability of single-layer reticulated shell is studied. Some important conclusions were obtained, which can provide theoretical foundation for the stability ultimate bearing capacity analysis of large-span spatial reticulated shell considering joint’s stiffness and can be applied on practical design.
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14

Brazier, Jean-Philippe, Frédéric Moens, and Philippe Bardoux. "Spatial Stability Analysis of a Flap Side Edge Vortex." International Journal of Aeroacoustics 4, no. 1-2 (January 2005): 37–47. http://dx.doi.org/10.1260/1475472053730066.

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The flap side edge vortex is suspected to contribute to aerodynamic noise generation. Using a temporal stability analysis, Khorrami and Singer have shown that unstable modes could exist in this vortex. Due to the convective nature of this instability, a spatial analysis is more suitable. This is the subject of the present work. The mean flow past a 2D wing with a half-span flap has been computed with a steady 3D Navier-Stokes code. Then, local linear stability calculations are performed in several planes perpendicular to the vortex axis. The vortex is assumed axisymmetric and modelled with Batchelor's analytical vortex. Using Gaster's relation, the spatial amplification rate is calculated, giving by integration the relative amplitude of the fluctuations. Some low-frequency fluctuations are seen to be preferentially amplified by the vortex, but the amplifications remain small, so that this mechanism alone should not produce important noise in this particular configuration, where the flap deflection angle is moderate.
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15

Khorrami, Mehdi R., and Mujeeb R. Malik. "Efficient Computation of Spatial Eigenvalues for Hydrodynamic Stability Analysis." Journal of Computational Physics 104, no. 1 (January 1993): 267–72. http://dx.doi.org/10.1006/jcph.1993.1026.

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16

Hardee, Philip E., and Michael L. Norman. "Spatial stability of the slab jet. I - Linearized stability analysis. II - Numerical simulations." Astrophysical Journal 334 (November 1988): 70. http://dx.doi.org/10.1086/166818.

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17

El-Ramly, H., N. R. Morgenstern, and D. M. Cruden. "Probabilistic slope stability analysis for practice." Canadian Geotechnical Journal 39, no. 3 (June 1, 2002): 665–83. http://dx.doi.org/10.1139/t02-034.

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The impact of uncertainty on the reliability of slope design and performance assessment is often significant. Conventional slope practice based on the factor of safety cannot explicitly address uncertainty, thus compromising the adequacy of projections. Probabilistic techniques are rational means to quantify and incorporate uncertainty into slope analysis and design. A spreadsheet approach for probabilistic slope stability analysis is developed. The methodology is based on Monte Carlo simulation using the familiar and readily available software, Microsoft® Excel 97 and @Risk. The analysis accounts for the spatial variability of the input variables, the statistical uncertainty due to limited data, and biases in the empirical factors and correlations used. The approach is simple and can be applied in practice with little effort beyond that needed in a conventional analysis. The methodology is illustrated by a probabilistic slope analysis of the dykes of the James Bay hydroelectric project. The results are compared with those obtained using the first-order second-moment method, and the practical insights gained through the analysis are highlighted. The deficiencies of a simpler probabilistic analysis are illustrated. Key words: probabilistic analysis, slope stability, Monte Carlo simulation, spatial variability.
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18

Burgess, Jesse, Gordon A. Fenton, and D. V. Griffiths. "Probabilistic seismic slope stability analysis and design." Canadian Geotechnical Journal 56, no. 12 (December 2019): 1979–98. http://dx.doi.org/10.1139/cgj-2017-0544.

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Deterministic seismic slope stability design charts for cohesive–frictional ([Formula: see text]) soils are traditionally used by geotechnical engineers to include the effects of earthquakes on slopes. These charts identify the critical seismic load event that is sufficient to bring the slope to a state of limit equilibrium, but they do not specify the probability of this event. In this paper, the probabilistic seismic stability of slopes, modeled using a two-dimensional spatially random [Formula: see text] soil, is examined for the first time using the random finite element method (RFEM). Slope stability design aids for seismic loading, which consider spatial variability of the soil, are provided to allow informed geotechnical seismic design decisions in the face of geotechnical uncertainties. The paper also provides estimates of the probability of slope failure without requiring computer simulations. How the design aids may be used is demonstrated with an example of slope remediation cost analysis and risk-based design.
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19

Abdurakipov, Sergey S., and Vladimir M. Dulin. "Stability Analysis of Round Jets with Density Gradient." Siberian Journal of Physics 15, no. 1 (2020): 62–79. http://dx.doi.org/10.25205/2541-9447-2020-15-1-62-79.

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Using Chebyshev spectral collocation method, the temporal and spatial stability analysis of a round jet with tangential velocity profile and transverse density gradient is carried out. The characteristic frequencies, wave numbers and eigen modes of the most unstable normal perturbations are analyzed. It is concluded that considering transverse density gradient in most cases leads to decrease in the growth rates and phase velocities of all unstable modes. It is shown that the relations between the phase and group velocities obtained from the temporal and spatial stability analysis of round jet turn out to be valid only for large shear layer thicknesses.
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20

Pimenta, Paulo M., and Takashi Yojo. "Geometrically Exact Analysis of Spatial Frames." Applied Mechanics Reviews 46, no. 11S (November 1, 1993): S118—S128. http://dx.doi.org/10.1115/1.3122626.

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A fully nonlinear, geometrically exact, finite strain rod model is derived from basic kinematical assumptions. The model incorporates shear distortion in bending and can take account of torsion warping. Rotation in 3D space is handled with the aid of the Euler-Rodrigues formula. The accomplished parametrization is simple and does not require update algorithms based on quaternions parameters. Weak and strong forms of the equilibrium equations are derived in terms of cross section strains and stresses, which are objective and suitable for constitutive description. As an example, an invariant linear elastic constitutive equation based on the small strain theory is presented. The attained formulation is very convenient for numerical procedures employing Galerkin projection like the finite element method and can be readily implemented in a finite element code. A mixed formulation of Hu-Washizu type is also derived, allowing for independent interpolation of the displacement, strain and stress fields within a finite element. An exact expression for the Fre´chet derivative of the weak form of equilibrium is obtained in closed form, which is always symmetric for conservative loading, even far from an equilibrium state and is very helpful for numerical procedures like the Newton method as well as for stability and bifurcation analysis. Several numerical examples illustrate the usefulness of the formulation in the lateral stability analysis of spatial frames. These examples were computed with the code FENOMENA, which is under development at the Computational Mechanics Laboratory of the Escola Polite´cnica.
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21

Edstrand, Adam M., Peter J. Schmid, Kunihiko Taira, and Louis N. Cattafesta. "A parallel stability analysis of a trailing vortex wake." Journal of Fluid Mechanics 837 (January 5, 2018): 858–95. http://dx.doi.org/10.1017/jfm.2017.866.

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Trailing vortices are generated in aeronautical and maritime applications and produce a variety of adverse effects that remain difficult to control. A stability analysis can direct flow control designers towards pertinent frequencies, wavelengths and locations that may lead to the excitation of instabilities, resulting in the eventual breakup of the vortex. Most models for trailing vortices, however, are far-field models, making implementation of the findings from stability analyses challenging. As such, we perform a stability analysis in the formative region where the numerically computed base flow contains both a two-dimensional wake and a tip vortex generated from a NACA0012 at a$5^{\circ }$angle of attack and a chord-based Reynolds number of$Re_{c}=1000$. The parallel temporal and spatial analyses show that at three chord lengths downstream of the trailing edge, seven unstable modes are present: three stemming from the temporal analysis and four arising in the spatial analysis. The three temporal instabilities are analogues to three unstable modes in the spatial analysis, with the wake instability dominating in both analyses. The helical mode localized to the vortex co-rotates with the base flow, which is converse with the counter-rotating$m=-1$instabilities of a Batchelor vortex model, which may be a result of the formative nature of the base-flow vortex. The fourth spatial mode is localized to the tip vortex region. The continuous part of the spectrum contains oscillatory and wavepacket solutions prompting the utilization of a wavepacket analysis to analyse the flow field and group velocity. The structure and details of the full bi-global spectrum will help navigate the design space of effective control strategies to hasten decay of persistent wingtip vortices.
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22

Wang, Yu, Zijun Cao, and Siu-Kui Au. "Practical reliability analysis of slope stability by advanced Monte Carlo simulations in a spreadsheet." Canadian Geotechnical Journal 48, no. 1 (January 2011): 162–72. http://dx.doi.org/10.1139/t10-044.

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This paper develops a Monte Carlo simulation (MCS)-based reliability analysis approach for slope stability problems and utilizes an advanced MCS method called “subset simulation” for improving efficiency and resolution of the MCS at relatively small probability levels. Reliability analysis is operationally decoupled from deterministic slope stability analysis and implemented using a commonly available spreadsheet software, Microsoft Excel. The reliability analysis spreadsheet package is validated through comparison with other reliability analysis methods and commercial software. The spreadsheet package is then used to explore the effect of spatial variability of the soil properties and critical slip surface. It is found that, when spatial variability of soil properties is ignored by assuming perfect correlation, the variance of the factor of safety (FS) is overestimated, which may result in either over (conservative) or under (unconservative) estimation of the probability of failure (Pf = P(FS < 1)). When the spatial variability of soil properties is considered, the critical slip surface varies spatially and such spatial variability should be properly accounted for. Otherwise, the probability of failure can be significantly underestimated and unconservative.
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23

Milanović, Jovica V. "Probabilistic stability analysis: the way forward for stability analysis of sustainable power systems." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 375, no. 2100 (July 10, 2017): 20160296. http://dx.doi.org/10.1098/rsta.2016.0296.

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Future power systems will be significantly different compared with their present states. They will be characterized by an unprecedented mix of a wide range of electricity generation and transmission technologies, as well as responsive and highly flexible demand and storage devices with significant temporal and spatial uncertainty. The importance of probabilistic approaches towards power system stability analysis, as a subsection of power system studies routinely carried out by power system operators, has been highlighted in previous research. However, it may not be feasible (or even possible) to accurately model all of the uncertainties that exist within a power system. This paper describes for the first time an integral approach to probabilistic stability analysis of power systems, including small and large angular stability and frequency stability. It provides guidance for handling uncertainties in power system stability studies and some illustrative examples of the most recent results of probabilistic stability analysis of uncertain power systems. This article is part of the themed issue ‘Energy management: flexibility, risk and optimization’.
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24

Zhu, D., D. V. Griffiths, and G. A. Fenton. "Worst-case spatial correlation length in probabilistic slope stability analysis." Géotechnique 69, no. 1 (January 2019): 85–88. http://dx.doi.org/10.1680/jgeot.17.t.050.

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25

Yan, Shuling, and Shangjiang Guo. "Stability analysis of a stage‐structure model with spatial heterogeneity." Mathematical Methods in the Applied Sciences 44, no. 14 (April 29, 2021): 10993–1005. http://dx.doi.org/10.1002/mma.7464.

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26

Ladeinde, F., and J. Wu. "Second order nonlinear spatial stability analysis of compressible mixing layers." Physics of Fluids 14, no. 9 (August 2, 2002): 2968–86. http://dx.doi.org/10.1063/1.1492284.

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27

Herrada, M. A., M. Pérez-Saborid, and A. Barrero. "Nonparallel local spatial stability analysis of pipe entrance swirling flows." Physics of Fluids 16, no. 7 (July 2004): 2147–53. http://dx.doi.org/10.1063/1.1728158.

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28

Margalit, Yair, Zhifan Zhou, Shimon Machluf, Yonathan Japha, Samuel Moukouri, and Ron Folman. "Analysis of a high-stability Stern–Gerlach spatial fringe interferometer." New Journal of Physics 21, no. 7 (July 23, 2019): 073040. http://dx.doi.org/10.1088/1367-2630/ab2fdc.

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29

Lili Pei, 裴丽丽, 黄大杰 Dajie Huang, and 范薇 Wei Fan. "Stability Analysis for Optically-Addressed Phase-Only Spatial Light Modulator." Chinese Journal of Lasers 46, no. 8 (2019): 0801002. http://dx.doi.org/10.3788/cjl201946.0801002.

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30

Brouwer, F., P. Nijkamp, and H. Scholten. "HYBRID LOG-LINEAR MODELS FOR SPATIAL INTERACTION AND STABILITY ANALYSIS(*)." Metroeconomica 39, no. 1 (February 1988): 43–65. http://dx.doi.org/10.1111/j.1467-999x.1988.tb00867.x.

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31

Yamada, Takayoshi, Toshiya Taki, Manabu Yamada, Yasuyuki Funahashi, and Hidehiko Yamamoto. "Static Stability Analysis of Spatial Grasps Including Contact Surface Geometry." Advanced Robotics 25, no. 3-4 (January 2011): 447–72. http://dx.doi.org/10.1163/016918610x552187.

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32

Lombardi, Mara, Monica Cardarilli, and Giuseppe Raspa. "Spatial variability analysis of soil strength to slope stability assessment." Geomechanics and Engineering 12, no. 3 (March 30, 2017): 483–503. http://dx.doi.org/10.12989/gae.2017.12.3.483.

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33

Traoré, Urbain. "Dynamics of Mosquito Population Models with Spatial Diffusion." International Journal of Differential Equations 2021 (December 29, 2021): 1–8. http://dx.doi.org/10.1155/2021/9034274.

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In this paper, we study some reaction-diffusion models of interactive dynamics of the wild and sterile mosquitoes. The well-posedness of the concerned model is proved. The stability of the steady states is discussed. Numerical simulations are presented to illustrate our theoretical results.
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34

Xu, Liu-Liu, Jian Xie, Hua-Yuan Yang, Fan Wang, and Wen-Chao Tang. "Operation Stability Analysis of Basic Acupuncture Manipulation Based on Three-Dimensional Motion Tracking Data." Wireless Communications and Mobile Computing 2022 (May 9, 2022): 1–11. http://dx.doi.org/10.1155/2022/1958984.

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Objective. To analyse the operational stability of basic acupuncture manipulation (AM) based on three-dimensional (3D) motion tracking. Method. Two quantitative indicators (spatial and temporal dispersions) and corresponding algorithms of operation stability were established based on the coordinate-time data derived from 3D motion tracking of basic AM. The differences in stability were compared between 20 acupuncture teachers and 20 acupuncture students. Results. The teachers and students had similar temporal stability, but the teachers were more stable in their spatial control, perhaps because of the teachers’ better fingertip force and more practice with feedback. Conclusion. The spatial and temporal dispersions can be used to evaluate operational stability in basic AM. Repetitive training and finger force enhancement with more accurate feedback and rhythmic auditory stimulation are recommended for improving operation stability in basic AM.
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35

Wang, Yanqin, Ling Yang, and Jie Yan. "Dynamics in a delayed diffusive cell cycle model." Nonlinear Analysis: Modelling and Control 23, no. 5 (November 21, 2018): 691–709. http://dx.doi.org/10.15388/na.2018.5.4.

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In this paper, we construct a delayed diffusive model to explore the spatial dynamics of cell cycle in G2/M transition. We first obtain the local stability of the unique positive equilibrium for this model, which is irrelevant to the diffusion. Then, through investigating the delay-induced Hopf bifurcation in this model, we establish the existence of spatially homogeneous and inhomogeneous bifurcating periodic solutions. Applying the normal form and center manifold theorem of functional partial differential equations, we also determine the stability and direction of these bifurcating periodic solutions. Finally, numerical simulations are presented to validate our theoretical results.
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36

Aufhauser, E., and M. M. Fischer. "Log-Linear Modelling and Spatial Analysis." Environment and Planning A: Economy and Space 17, no. 7 (July 1985): 931–51. http://dx.doi.org/10.1068/a170931.

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In the past decade the social sciences have seen an upsurge of interest in analysing multidimensional contingency tables using log-linear models. Two broad families of log-linear models may be distinguished: the family of conventional models and the family of unconventional models (that is, quasi-log-linear and hybrid models). In this paper a brief review of such models is presented and some linkage to the class of generalised linear models suggested by Nelder and Wedderburn is provided. The great potential of log-linear models for spatial analysis is illustrated in applying conventional and unconventional models in a migration context to identify intertemporal stability of migration patterns. The problem that the effective units migrating are households rather than individuals is coped with by postulating a compound Poisson sampling scheme.
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37

Hu, W., and B. C. Si. "Estimating spatially distributed soil water content at small watershed scales based on decomposition of temporal anomaly and time stability analysis." Hydrology and Earth System Sciences Discussions 12, no. 7 (July 3, 2015): 6467–503. http://dx.doi.org/10.5194/hessd-12-6467-2015.

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Abstract. Soil water content (SWC) at watershed scales is crucial to rainfall–runoff response. A model was used to decompose spatiotemporal SWC into time-stable pattern (i.e., temporal mean), space-invariant temporal anomaly, and space-variant temporal anomaly. This model was compared with a previous model that decomposes spatiotemporal SWC into spatial mean and spatial anomaly. The space-variant temporal anomaly or spatial anomaly was further decomposed using the empirical orthogonal function for estimating spatially distributed SWC. These two models are termed temporal anomaly (TA) model and spatial anomaly (SA) model, respectively. We aimed to test the hypothesis that underlying (i.e., time-invariant) spatial patterns exist in the space-variant temporal anomaly at the small watershed scale, and to examine the advantages of the TA model over the SA model in terms of estimation of spatially distributed SWC. For this purpose, a SWC dataset of near surface (0–0.2 m) and root zone (0–1.0 m) from a small watershed scale in the Canadian prairies was analyzed. Results showed that underlying spatial patterns exist in the space-variant temporal anomaly because of the permanent controls of "static" factors such as depth to the CaCO3 layer and organic carbon content. Combined with time stability analysis, the TA model improved estimation of spatially distributed SWC over the SA model because the latter failed to capture the space-variant temporal anomaly which accounted for non-negligible amounts of spatial variance in SWC. The outperformance was greater when SWC deviated from intermediate conditions, especially for dry conditions. Therefore, the TA model has potential to construct a spatially distributed SWC at watershed scales from remote sensed SWC.
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38

Bhaskar, Dhananjay, William Y. Zhang, and Ian Y. Wong. "Topological data analysis of collective and individual epithelial cells using persistent homology of loops." Soft Matter 17, no. 17 (2021): 4653–64. http://dx.doi.org/10.1039/d1sm00072a.

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Topology-based machine learning classifies complex spatial patterns of epithelial cells into distinct phases. The presence and stability of spatially-connected loops is an effective measure of topological similarity, even when population size varies significantly due to proliferation.
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39

Li, Xiao Li, and Jing Ji. "Nonlinear Stability Analysis for Schwedler Reticulated Dome." Applied Mechanics and Materials 182-183 (June 2012): 1609–12. http://dx.doi.org/10.4028/www.scientific.net/amm.182-183.1609.

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On the base of finite element linear Eigen value analysis, overall stability analysis of Schwedler reticulated dome has been conducted by means of the nonlinear finite element method. The arc-length method was utilized to solve the nonlinear equation systems, and the load-displacement curves of the spatial latticed shell structure were obtained. It is safer to adopt the nonlinear buckling analysis for structure. These can provide a valuable reference for the design and analysis of the similar special latticed shell.
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40

Ruuth, Steven J., and Raymond J. Spiteri. "High-Order Strong-Stability-Preserving Runge--Kutta Methods with Downwind-Biased Spatial Discretizations." SIAM Journal on Numerical Analysis 42, no. 3 (January 2004): 974–96. http://dx.doi.org/10.1137/s0036142902419284.

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41

Sonis, M. "Linear bifurcation analysis with applications to relative socio-spatial dynamics." Discrete Dynamics in Nature and Society 1, no. 1 (1997): 45–56. http://dx.doi.org/10.1155/s102602269700006x.

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The objective of this research is the elaboration of elements of linear bifurcation analysis for the description the qualitative properties of orbits of the discrete autonomous iteration processes on the basis of linear approximation of the processes. The basic element of this analysis is the geometrical and numerical modification and application of the classical Routhian formalism, which is giving the description of the behavior of the iteration processes near the boundaries of the stability domains of equilibria. The use of the Routhian formalism is leading to the mapping of the domain of stability of equilibria from the space of control bifurcation parameters into the space of orbits of iteration processes. The study of the behavior of the iteration processes near the boundaries of stability domains can be achieved by the converting of coordinates of equilibria into control bifurcation parameters and by the movement of equilibria in the space of orbits. The crossing the boundaries of the stability domain reveals the plethora of the possible ways from stability, periodicity, the Arnold mode-locking tongues and quasi-periodicity to chaos. The numerical procedure of the description of such phenomena includes the spatial bifurcation diagrams in which the bifurcation parameter is the equilibrium itself. In this way the central problem of control of bifurcation can be solved: for each autonomous iteration process with big enough number of external parameters construct the realization of this iteration process with a preset combination of qualitative properties of equilibria. In this study the two-dimensional geometrical and numerical realizations of linear bifurcation analysis is presented in such a form which can be easily extended to multi-dimensional case. Further, a newly developed class of the discrete relativem-population/n-location Socio-Spatial dynamics is described. The proposed algorithm of linear bifurcation analyses is used for the detail analysis of the log–log-linear model of the one population/three location discrete relative dynamics.
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42

Bogart, R. S., L. A. Discher De Sá, I. González Hernández, J. Patrón Recio, D. A. Haber, J. Toomre, F. Hill, E. J. Rhodes, and Y. Xue. "Plane-wave analysis of SOI data." Symposium - International Astronomical Union 181 (1997): 111–18. http://dx.doi.org/10.1017/s0074180900061076.

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The unprecedented combination of spatial resolution and stability achieved by the Solar Oscillations Investigation/Michelson Doppler Imager on SOHO has opened up new opportunities for the analysis of solar surface oscillations of high spatial frequencies. In this regime the oscillations are essentially plane waves, amenable to the techniques of ring-diagram analysis of their three-dimensional power spectra. This approach holds the promise of measuring fluid motions and possibly magnetic fields in spatially-resolved structures within the uppermost levels of the convective envelope, a region unresolved by the global modes. Atmospheric g-modes trapped above the photosphere may also be detectable. We review the first results of plane-wave analysis of various types of SOI data and comparisons with the analyses of comparable ground-based datasets.
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43

Zuo, Wenjie, and Junjie Wei. "Stability and bifurcation in a ratio-dependent Holling-III system with diffusion and delay." Nonlinear Analysis: Modelling and Control 19, no. 1 (January 20, 2014): 132–53. http://dx.doi.org/10.15388/na.2014.1.9.

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A diffusive ratio-dependent predator-prey system with Holling-III functional response and delay effects is considered. Global stability of the boundary equilibrium and the stability of the unique positive steady state and the existence of spatially homogeneous and inhomogeneous periodic solutions are investigated in detail, by the maximum principle and the characteristic equations. Ratio-dependent functional response exhibits rich spatiotemporal patterns. It is found that, the system without delay is dissipative and uniformly permanent under certain conditions, the delay can destabilize the positive constant equilibrium and spatial Hopf bifurcations occur as the delay crosses through some critical values. Then, the direction and the stability of Hopf bifurcations are determined by applying the center manifold reduction and the normal form theory for partial functional differential equations. Some numerical simulations are carried out to illustrate the theoretical results.
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44

Chen, Zhi Hua, Ren Zhang Yan, Xiang Yu Yan, and Jing Hai Yu. "Stability and Dynamic Analysis of the Spatial Helical Irregular Steel Sculpture." Advanced Materials Research 368-373 (October 2011): 382–85. http://dx.doi.org/10.4028/www.scientific.net/amr.368-373.382.

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As the shape of the spatial helical irregular steel sculpture is singularly, this paper studies the structure’s stability and dynamic properties with finite element analysis software in order to determine its ultimate bearing capacity, The structure’s natural vibration characteristics are obtained by modal analysis. The structure’s deformation characteristics within a small time history is also obtained by transient dynamic analysis. Feasibility of the new irregular steel structure is verified by calculation and analysis in this article which can lay the foundation for the development of the irregular steel structure.
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45

Parthasarathy, R. N. "LINEAR SPATIAL STABILITY ANALYSIS OF SLURRY SHEETS SUBJECTED TO GAS FLOW." Atomization and Sprays 9, no. 5 (1999): 519–40. http://dx.doi.org/10.1615/atomizspr.v9.i5.50.

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46

Banerjee, M. "Spatial pattern formation in ratio-dependent model: higher-order stability analysis." Mathematical Medicine and Biology 28, no. 2 (December 6, 2010): 111–28. http://dx.doi.org/10.1093/imammb/dqq024.

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47

Müller, Sebastian B., and Leonhard Kleiser. "Viscous and inviscid spatial stability analysis of compressible swirling mixing layers." Physics of Fluids 20, no. 11 (November 2008): 114103. http://dx.doi.org/10.1063/1.2931591.

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Pascarella, A., C. Todaro, M. Clerc, T. Serre, and M. Piana. "Source modeling of ElectroCorticoGraphy (ECoG) data: Stability analysis and spatial filtering." Journal of Neuroscience Methods 263 (April 2016): 134–44. http://dx.doi.org/10.1016/j.jneumeth.2016.02.012.

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49

Wang, Shuhong, Pengpeng Ni, and Mudan Guo. "Spatial characterization of joint planes and stability analysis of tunnel blocks." Tunnelling and Underground Space Technology 38 (September 2013): 357–67. http://dx.doi.org/10.1016/j.tust.2013.07.017.

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Guo, Xiangfeng, Daniel Dias, and Qiujing Pan. "Probabilistic stability analysis of an embankment dam considering soil spatial variability." Computers and Geotechnics 113 (September 2019): 103093. http://dx.doi.org/10.1016/j.compgeo.2019.103093.

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