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Journal articles on the topic 'Lorenz'

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Published: 4 June 2021
Last updated: 28 July 2024

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1

Sihvola, Ari. "Lorenz-Lorentz or Lorentz-Lorenz?" IEEE Antennas and Propagation Magazine 33, no. 4 (August 1991): 56. http://dx.doi.org/10.1109/map.1991.5672658.

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2

Bladel, J. "Lorenz or Lorentz?" IEEE Antennas and Propagation Magazine 33, no. 2 (April 1991): 69. http://dx.doi.org/10.1109/map.1991.5672647.

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3

Bladel, J. Van. "Lorenz or Lorentz? [Addendum]." IEEE Antennas and Propagation Magazine 33, no. 4 (August 1991): 56. http://dx.doi.org/10.1109/map.1991.5672657.

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4

Ghiner, A. V., and G. I. Surdutovich. "Beyond the Lorentz-Lorenz Formula." Optics and Photonics News 5, no. 12 (December 1, 1994): 34. http://dx.doi.org/10.1364/opn.5.12.000034.

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5

Nevels, R., and Chang-Seok Shin. "Lorenz, Lorentz, and the gauge." IEEE Antennas and Propagation Magazine 43, no. 3 (June 2001): 70–71. http://dx.doi.org/10.1109/74.934904.

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6

Zlatanovska, Biljana, and Donc̆o Dimovski. "A modified Lorenz system: Definition and solution." Asian-European Journal of Mathematics 13, no. 08 (May 20, 2020): 2050164. http://dx.doi.org/10.1142/s1793557120501648.

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Based on the approximations of the Lorenz system of differential equations from the papers [B. Zlatanovska and D. Dimovski, Systems of difference equations approximating the Lorentz system of differential equations, Contributions Sec. Math. Tech. Sci. Manu. XXXIII 1–2 (2012) 75–96, B. Zlatanovska and D. Dimovski, Systems of difference equations as a model for the Lorentz system, in Proc. 5th Int. Scientific Conf. FMNS, Vol. I (Blagoevgrad, Bulgaria, 2013), pp. 102–107, B. Zlatanovska, Approximation for the solutions of Lorenz system with systems of differential equations, Bull. Math. 41(1) (2017) 51–61], we define a Modified Lorenz system, that is a local approximation of the Lorenz system. It is a system of three differential equations, the first two are the same as the first two of the Lorenz system, and the third one is a homogeneous linear differential equation of fifth order with constant coefficients. The solution of this system is based on the results from [D. Dimitrovski and M. Mijatovic, A New Approach to the Theory of Ordinary Differential Equations (Numerus, Skopje, 1995), pp. 23–33].
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7

Brown, G. E. "The Ericson-Ericson Lorentz-Lorenz correction." Nuclear Physics A 518, no. 1-2 (November 1990): 99–115. http://dx.doi.org/10.1016/0375-9474(90)90537-v.

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8

McPhedran, R. C., C. G. Poulton, N. A. Nicorovici, and A. B. Movchan. "Dynamic corrections to the Lorentz-Lorenz formula." Physica A: Statistical Mechanics and its Applications 241, no. 1-2 (July 1997): 179–82. http://dx.doi.org/10.1016/s0378-4371(97)00079-4.

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9

Vinogradov, A. P. "On the Clausius-Mossotti-Lorenz-Lorentz formula." Physica A: Statistical Mechanics and its Applications 241, no. 1-2 (July 1997): 216–22. http://dx.doi.org/10.1016/s0378-4371(97)00085-x.

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10

Dwivedi, Sonu, Ashih Kumar Singh, and Arun Kumar Singh. "APPLICATION OF REFRACTIVE INDEX MIXING PRINCIPLES IN BINARY SYSTEMS AT T=298.15, 308.15 AND 318.15K." International Journal of Advanced Research 11, no. 04 (April 30, 2023): 892–97. http://dx.doi.org/10.21474/ijar01/16739.

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Binary liquid mixes of 1-butanol, 1-pentanol, 1-hexanol, and 1-heptanol with hexadecane and heptadecane have had their densities and refractive indices experimentally determined at 298.15, 308.15, and 318.15 K. To determine whether the Lorentz-Lorenz (L-L), Weiner-Heller (W-H), and Gladstone-Dale (G-D) relations for predicting the refractive index of a liquid are valid for the eight binaries over the entire mole fraction range of hexadecane and heptadecane at the three temperatures, a comparative study of these relationships has been conducted. The average percentage deviation has been used to compare different mixing rules. Comparatively speaking, the Weiner and Gladstone-Dale relations perform better than the Lorentz-Lorenz and Heller relations.
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11

Dover, Paul M. "Book review: Lorenz Böninger, Niccolò di Lorenzo della Magna and the Social World of Florentine Printing, ca. 1470–1493." Medieval History Journal 26, no. 1 (April 30, 2023): 164–67. http://dx.doi.org/10.1177/09719458221103383.

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12

Henry, Michael. "A Tale of Two CAD Systems." Mechanical Engineering 120, no. 09 (September 1, 1998): 70–72. http://dx.doi.org/10.1115/1.1998-sep-3.

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Walter Lorenz Surgical Inc., Jacksonville, FL, specializes in the medical devices known as rigid fixation implants. Lorenz Surgical was purchased by Biomet Inc. of Warsaw, Indiana in the year 1992, which resulted in Lorenzo owning two computer-aided design (CAD) systems. In 1996, with the completion of Lorenz Surgical's new manufacturing facility in Jacksonville, all Lorenz operations were transferred back to Florida, including all the manufacturing equipment and its three seats of Unigraphics, which by then were running on Windows NT workstations. The company's management feels it could have stayed with Unigraphics and accomplished its goals, but that adding Solid Edge was a good move. It gave Lorenz flexibility in hiring, allowed it to buy more CAD seats than it could have if it had stayed with Unigraphics alone, and provided a very productive tool. Lorenz's surgical instruments are currently designed exclusively in Solid Edge. Instruments can be modeled in either CAD system, but the job goes faster in Solid Edge. The creators of Solid Edge put a lot of effort into usability, and this shows in how few mouse clicks are needed for common operations. Products that have many standard features, such as a screwdriver consisting of m any cylinders, are very quickly modeled in Solid Edge.
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13

Precup, Radu-Emil, Marius L. Tomescu, and Stefan Preitl. "Lorenz System Stabilization Using Fuzzy Controllers." International Journal of Computers Communications & Control 2, no. 3 (September 1, 2007): 279. http://dx.doi.org/10.15837/ijccc.2007.3.2360.

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The paper suggests a Takagi Sugeno (TS) fuzzy logic controller (FLC) designed to stabilize the Lorentz chaotic systems. The stability analysis of the fuzzy control system is performed using Barbashin-Krasovskii theorem. This paper proves that if the derivative of Lyapunov function is negative semi-definite for each fuzzy rule then the controlled Lorentz system is asymptotically stable in the sense of Lyapunov. The stability theorem suggested here offers sufficient conditions for the stability of the Lorenz system controlled by TS FLCs. An illustrative example describes the application of the new stability analysis method.
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14

Ruostekoski, Janne, and Juha Javanainen. "Lorentz-Lorenz shift in a Bose-Einstein condensate." Physical Review A 56, no. 3 (September 1997): 2056–59. http://dx.doi.org/10.1103/physreva.56.2056.

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15

Schwarz, Daniel, Herbert Wormeester, and Bene Poelsema. "Validity of Lorentz–Lorenz equation in porosimetry studies." Thin Solid Films 519, no. 9 (February 2011): 2994–97. http://dx.doi.org/10.1016/j.tsf.2010.12.053.

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16

Guo, J., A. Gallagher, and J. Cooper. "Lorentz-Lorenz shift in an inhomogeneously broadened medium." Optics Communications 131, no. 4-6 (November 1996): 219–22. http://dx.doi.org/10.1016/0030-4018(96)00292-1.

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17

Mayerhöfer, Thomas G., and Jürgen Popp. "Beyond Beer's Law: Revisiting the Lorentz‐Lorenz Equation." ChemPhysChem 21, no. 12 (May 27, 2020): 1218–23. http://dx.doi.org/10.1002/cphc.202000301.

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18

Eremin, I. E., V. V. Neshchimenko, D. S. Shcherban, and D. V. Fomin. "System modification of the equation Lorenz–Lorentz–Clausius–Mossotti." Optik 231 (April 2021): 166327. http://dx.doi.org/10.1016/j.ijleo.2021.166327.

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19

Delorme, J., M. Ericson, and A. Figureau. "Lorentz-Lorenz quenching for the Gamow-Teller sum rule." Journal of Physics G: Nuclear Physics 11, no. 3 (March 1985): 343–49. http://dx.doi.org/10.1088/0305-4616/11/3/012.

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20

Kalbermann, G. "Lorentz-Lorenz effect and the Kemmer-Duffin-Petiau equation." Physical Review C 33, no. 5 (May 1, 1986): 1814–15. http://dx.doi.org/10.1103/physrevc.33.1814.

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21

Thies, M. "Linearly velocity-dependent potentials and the Lorentz-Lorenz correction." Nuclear Physics A 464, no. 4 (March 1987): 603–12. http://dx.doi.org/10.1016/0375-9474(87)90369-1.

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22

Oughstun, Kurt, and Natalie Cartwright. "On the Lorentz-Lorenz formula and the Lorentz model of dielectric dispersion." Optics Express 11, no. 13 (June 30, 2003): 1541. http://dx.doi.org/10.1364/oe.11.001541.

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23

Lavenda, B. H. "Entropies of Mixing (EOM) and the Lorenz Order." Open Systems & Information Dynamics 13, no. 01 (March 2006): 75–90. http://dx.doi.org/10.1007/s11080-006-7269-2.

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Polynomial nonadditive, or pseudo-additive (PAE), entropies are related to the Shannon entropy in that both are derived from two classes of parent distributions of extreme-value theory, the Pareto and power distributions. The third class is the exponential distribution, corresponding to the Shannon entropy, to which the other two tend as their shape parameters increase without limit. These entropies all belong to a single class of entropies referred to as EOM. EOM is defined as the normalized difference between the dual of the Lorentz function and the Lorenz function. Sufficient conditions for majorization involve finding a separable, Schur-concave function, like the EOM, which increases as the distribution becomes more uniform or less spread out. Lorenz ordering has been associated to the degree in which the Lorenz curve is bent. This criterion is valid for tail distributions, and fails in the case where the distribution is limited on the right. EOM provide criteria for inequality in the Lorenz ordering sense: In the Pareto case, an increase in the shape parameter implies a decrease in inequality and the EOM decreases, whereas for the power distribution an increase in the shape parameter corresponds to an increase in inequality leading to an increase in the EOM. An analogy is drawn between Gauss' invariant distribution for the probability of the fractional part of a continued fraction and the area criterion in Lorenz ordering, analogous to the Gini index criterion. The tendency to approach the invariant distribution, as the number of partial quotients increases without limit, is shown to be analogous to the tendency to approach the invariant area, as the shape parameters increase without limit.
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24

Schirmer, Wolfgang. "Nachruf für Lorenz Scheuenpflug." Jahresberichte und Mitteilungen des Oberrheinischen Geologischen Vereins 78 (April 9, 1996): 31–40. http://dx.doi.org/10.1127/jmogv/78/1996/31.

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25

Al-Kazalch, O. M. "NEW METHOD FOR DERIVATION OF LORENTZ TRANSFORMATION." Journal of Engineering 9, no. 01 (March 1, 2003): 89–93. http://dx.doi.org/10.31026/j.eng.2003.01.09.

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in the modern field of heavy ion atomic physics, determined through Lorentz transformation [W. Greiner 1997]. At high energies one must investigate the relative wave equations. This means equations, which are invariant under Lorenz transformation. The Lorentz transformation is so important, that it needs, to be derived on a more logical basis. Many textbooks and research papers have derived Lorentz transformation by different postulates [Anderson, J.L. 1967][G. Nadean 1962][H.A. Atwater 1974], which are not treated electro-dynamically this paper exhibits a method of finding the Lorentz transformation by exploiting the Maxwell's famous equations of the electromagnetic field equations
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26

Quinn, Peter D. "Lorenz Prosthesis." Oral and Maxillofacial Surgery Clinics of North America 12, no. 1 (February 2000): 93–104. http://dx.doi.org/10.1016/s1042-3699(20)30235-1.

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27

Wickler, Wolfgang. "Konrad Lorenz." Ethology 82, no. 1 (April 26, 2010): 1–2. http://dx.doi.org/10.1111/j.1439-0310.1989.tb00483.x.

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28

Runge, Johann. "Lorenz Nissen." Sønderjydske Årbøger 104, no. 1 (January 1, 1992): 113–24. http://dx.doi.org/10.7146/soenderjydskeaarboeger.v104i1.81169.

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29

DP. "Konrad Lorenz." Psychiatric Bulletin 15, no. 1 (January 1991): 61–62. http://dx.doi.org/10.1192/pb.15.1.61.

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30

Bjorklund, David F., Carlos Hernández Blasi, and Virginia A. Periss. "Lorenz Revisited." Human Nature 21, no. 4 (November 16, 2010): 371–92. http://dx.doi.org/10.1007/s12110-010-9099-8.

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31

Giaccia, Amato, and Randall S. Johnson. "Lorenz Poellinger." Experimental Cell Research 356, no. 2 (July 2017): 115. http://dx.doi.org/10.1016/j.yexcr.2017.05.026.

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32

Bentley, Liz. "Edward Lorenz." Weather 63, no. 11 (November 2008): 334. http://dx.doi.org/10.1002/wea.313.

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33

Jann, Ben. "Estimating Lorenz and Concentration Curves." Stata Journal: Promoting communications on statistics and Stata 16, no. 4 (December 2016): 837–66. http://dx.doi.org/10.1177/1536867x1601600403.

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Lorenz and concentration curves are widely used tools in inequality research. In this article, I present a new command, lorenz, that estimates Lorenz and concentration curves from individual-level data and, optionally, displays the results in a graph. The lorenz command supports relative, generalized, absolute, unnormalized, custom-normalized Lorenz, and concentration curves. It also provides tools for computing contrasts between different subpopulations or outcome variables. lorenz fully supports variance estimation for complex samples.
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34

Oughstun, Kurt, and Natalie Cartwright. "On the Lorentz-Lorenz formula and the Lorentz model of dielectric dispersion: addendum." Optics Express 11, no. 21 (October 20, 2003): 2791. http://dx.doi.org/10.1364/oe.11.002791.

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35

Pelosi, Giuseppe, and Stefano Selleri. "Historical corner column: The Clausius-Mossotti and Lorentz-Lorenz relations." URSI Radio Science Bulletin 2019, no. 371 (December 2019): 79–86. http://dx.doi.org/10.23919/ursirsb.2019.9117253.

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36

El Hanafy, W., and G. G. L. Nashed. "Lorenz gauge fixing of f(T) teleparallel cosmology." International Journal of Modern Physics D 26, no. 14 (December 2017): 1750154. http://dx.doi.org/10.1142/s0218271817501541.

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In teleparallel gravity, we apply Lorenz type gauge fixing to cope with redundant degrees of freedom in the vierbein field. This condition is mainly to restore the Lorentz symmetry of the teleparallel torsion scalar. In cosmological application, this technique provides standard cosmology, turnaround, bounce or [Formula: see text]CDM as separate scenarios. We reconstruct the [Formula: see text] gravity which generates these models. We study the stability of the solutions by analyzing the corresponding phase portraits. Also, we investigate Lorenz gauge in the unimodular coordinates, it leads to unify a nonsingular bounce and Standard Model cosmology in a single model, where crossing the phantom divide line is achievable through a finite-time singularity of Type IV associated with a de Sitter fixed point. We reconstruct the unimodular [Formula: see text] gravity which generates the unified cosmic evolution showing the role of the torsion gravity to establish a healthy bounce scenario.
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37

Semenov, Dmitry, and Vladislav Shchekoldin. "Theoretical and empirical Lorenz functions, Gini indices, and their properties." Science Bulletin of the Novosibirsk State Technical University, no. 4 (December 18, 2020): 121–44. http://dx.doi.org/10.17212/1814-1196-2020-4-121-144.

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The issues of assessing the fairness and efficiency of the distribution of the total income of society between different groups of the population have attracted attention of scientists for a long time. They became most relevant at the end of the 19th – beginning of the 20th centuries in connection with the intensive stratification of countries with various political and social systems caused by the intensive development of the economy, science and technology. The Lorenz function and the Lorenz curve, as well as the Gini index, are commonly used for theoretical research and applications in the economic and social sciences. These tools were originally introduced to describe and study the inequality in the incomes and wealth distribution among a given population. Nowadays they have found wide application in such fields as demography, insurance, healthcare, the risk and reliability theory, as well as in other areas of human activities. In this paper we present the properties of the Lorentz function and various representations of the Gini index, systematize the analytical results for uniform, exponential, power-law (types I and II) and lognormal distributions, as well as for the Pareto distribution (types I and II). Additionally, the issue of estimating inequality based on the Pietra index and its relationship with the Lorentz function was studied. Nonparametric estimates of the Lorentz function and the Gini index based on a sample from the corresponding distribution are considered. Strict consistency and asymptotic unbiasedness of these estimates are shown under certain conditions for the initial distribution with an increase in the sample size. On the basis of the method of linearization of estimates, the asymptotic normality of the empirical Lorentz function and the empirical Gini index is determined.
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38

Fajar, Muhammad, Setiawan Setiawan, and Nur Iriawan. "The New Measures of Lorenz Curve Asymmetry: Formulation and Hypothesis Testing." Decision Making: Applications in Management and Engineering 7, no. 1 (November 14, 2023): 99–130. http://dx.doi.org/10.31181/dmame712024875.

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The existence of an asymmetric empirical Lorenz curve requires a measure of asymmetry that directly involves the geometry of the Lorenz curve as a component of its formulation. Therefore, establishing hypothesis testing for Lorenz curve asymmetry is necessary to conclude whether the Lorenz curve exhibits symmetry in actual data. Consequently, this study aims to construct a measure of Lorenz curve asymmetry that utilizes the area and perimeter elements of the inequality subzones as its components and establish a procedure for hypothesis testing the symmetry of the Lorenz curve. This study proposes two types of asymmetry measures, Ra and Rp, constructed based on the ratio of area and perimeter obtained from the inequality subzone. These measures effectively capture the asymmetric phenomenon of the Lorenz curve and provide an economic interpretation of the values Ra and Rp. The Lorenz curve symmetry hypothesis testing, based on Ra and Rp through a nonparametric bootstrap, yields reliable results when applied to actual data.
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39

Zlatanovska, Biljana, and Boro Piperevski. "Dynamic analysis of the dual Lorenz system." Asian-European Journal of Mathematics 13, no. 08 (May 10, 2020): 2050171. http://dx.doi.org/10.1142/s1793557120501715.

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The dual Lorenz system as an autonomous system of three differential equations is obtained by using the Lorenz system of differential equations in the paper [B. M. Piperevski, For one system of differential equations taken as dual of the Lorenz system, Bull. Math. 40(1) (2014) 37–44]. In this paper, we will do a comparison of the dual Lorenz system with the Lorenz system for different values of parameters. The dynamic analysis of its behavior will be done. The basic properties of the dual Lorenz system are analyzed by means of the symmetry of the system, dissipativity of the system, the Lyapunov function, the behavior of the system in the neighborhood of fixed points, etc. By using mathematical software Mathematica, we will give a graphical visualization of the dual Lorenz system for some values of parameters via examples.
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40

Vaidyanathan, Sundarapandian, Christos Volos, and Viet-Thanh Pham. "Hyperchaos, adaptive control and synchronization of a novel 5-D hyperchaotic system with three positive Lyapunov exponents and its SPICE implementation." Archives of Control Sciences 24, no. 4 (December 1, 2014): 409–46. http://dx.doi.org/10.2478/acsc-2014-0023.

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Abstract In this research work, a twelve-term novel 5-D hyperchaotic Lorenz system with three quadratic nonlinearities has been derived by adding a feedback control to a ten-term 4-D hyperchaotic Lorenz system (Jia, 2007) with three quadratic nonlinearities. The 4-D hyperchaotic Lorenz system (Jia, 2007) has the Lyapunov exponents L1 = 0.3684,L2 = 0.2174,L3 = 0 and L4 =−12.9513, and the Kaplan-Yorke dimension of this 4-D system is found as DKY =3.0452. The 5-D novel hyperchaotic Lorenz system proposed in this work has the Lyapunov exponents L1 = 0.4195,L2 = 0.2430,L3 = 0.0145,L4 = 0 and L5 = −13.0405, and the Kaplan-Yorke dimension of this 5-D system is found as DKY =4.0159. Thus, the novel 5-D hyperchaotic Lorenz system has a maximal Lyapunov exponent (MLE), which is greater than the maximal Lyapunov exponent (MLE) of the 4-D hyperchaotic Lorenz system. The 5-D novel hyperchaotic Lorenz system has a unique equilibrium point at the origin, which is a saddle-point and hence unstable. Next, an adaptive controller is designed to stabilize the novel 5-D hyperchaotic Lorenz system with unknown system parameters. Moreover, an adaptive controller is designed to achieve global hyperchaos synchronization of the identical novel 5-D hyperchaotic Lorenz systems with unknown system parameters. Finally, an electronic circuit realization of the novel 5-D hyperchaotic Lorenz system using SPICE is described in detail to confirm the feasibility of the theoretical model.
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41

Chen, Bai He, Jian Jun Zhang, Chun Yan Li, Huan Cui, and Zhi Wei He. "Preparation and Properties Research of Mesoporous Low-k Silica with Electric Field Induction." Advanced Materials Research 997 (August 2014): 471–74. http://dx.doi.org/10.4028/www.scientific.net/amr.997.471.

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The preparation of mesoporous SiO2 with electric field (EF) induced different molecular templates method was reported. The effect of EF on the microstructure of the material has been investigated by scanning electron microscopy and static nitrogen adsorption analyzer. Results showed that the molecular regularly arranged by high voltage electrostatic field could effectively affect the porosity of the samples. The dielectric constant estimated from the Rayleigh and Lorentz-Lorenz classic models, was1.90.
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42

Mayerhöfer, Thomas G., Oleksii Ilchenko, Andrii Kutsyk, and Jürgen Popp. "Beyond Beer’s Law: Quasi-Ideal Binary Liquid Mixtures." Applied Spectroscopy 76, no. 1 (December 29, 2021): 92–104. http://dx.doi.org/10.1177/00037028211056293.

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We have recorded attenuated total reflection infrared spectra of binary mixtures in the (quasi-)ideal systems benzene–toluene, benzene–carbon tetrachloride, and benzene–cyclohexane. We used two-dimensional correlation spectroscopy, principal component analysis, and multivariate curve resolution to analyze the data. The 2D correlation proves nonlinearities, also in spectral ranges with no obvious deviations from Beer’s approximation. The number of principal components is much higher than two and multivariate curve resolution carried out under the assumption of the presence of a third component, results in spectra which only show bands of the original components. The results negate the presence of third components, since any complex should have lower symmetry than the individual molecules and thus more and/or different infrared-active bands in the spectra. Based on Lorentz–Lorenz theory and literature values of the optical constants, we show that the nonlinearities and additional principal components are consequences of local field effects and the polarization of matter by light. Lorentz–Lorenz theory is, however, not able to explain, for example, the different blueshifts of the strong A2u band of benzene in the three mixtures. Obviously, infrared spectroscopy is sensitive to the short-range order around the molecules, which changes with content, their shapes, and their anisotropy.
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43

Sotsky, A. B., K. N. Krivetskii, S. O. Parashkov, and L. I. Sotskaya. "Lorentz–Lorenz Model for the Inverse Problem of Inhomogeneous Layer Spectrometry." Journal of Applied Spectroscopy 83, no. 5 (November 2016): 845–53. http://dx.doi.org/10.1007/s10812-016-0373-3.

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44

WANG, XIONG, JUAN CHEN, JUN-AN LU, and GUANRONG CHEN. "A SIMPLE YET COMPLEX ONE-PARAMETER FAMILY OF GENERALIZED LORENZ-LIKE SYSTEMS." International Journal of Bifurcation and Chaos 22, no. 05 (May 2012): 1250116. http://dx.doi.org/10.1142/s0218127412501167.

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This paper reports the finding of a simple one-parameter family of three-dimensional quadratic autonomous chaotic systems. By tuning the only parameter, this system can continuously generate a variety of cascading Lorenz-like attractors, which appears to be richer than the unified chaotic system that contains the Lorenz and the Chen systems as its two extremes. Although this new family of chaotic systems has very rich and complex dynamics, it has a very simple algebraic structure with only two quadratic terms (same as the Lorenz and the Chen systems) and all nonzero coefficients in the linear part being -1 except one -0.1 (thus, simpler than the Lorenz and Chen systems). Surprisingly, although this new system belongs to the Lorenz-type of systems in the classification of the generalized Lorenz canonical form, it can generate not only Lorenz-like attractors but also Chen-like attractors. This suggests that there may exist some other unknown yet more essential algebraic characteristics for describing general three-dimensional quadratic autonomous chaotic systems.
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45

Christopoulos, Katerina A., Wendy Hartogensis, David V. Glidden, Christopher D. Pilcher, Monica Gandhi, and Elvin H. Geng. "The Lorenz curve." AIDS 31, no. 2 (January 2017): 309–10. http://dx.doi.org/10.1097/qad.0000000000001336.

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46

Palmer, Tim. "Edward Norton Lorenz." Physics Today 61, no. 9 (September 2008): 81–82. http://dx.doi.org/10.1063/1.2982132.

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47

YU, XINGHUO. "Controlling Lorenz chaos." International Journal of Systems Science 27, no. 4 (April 1996): 355–59. http://dx.doi.org/10.1080/00207729608929224.

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48

Mindich, David T. Z., Elliot King, Barbara Straus Reed, and David Abrahamson. "Alfred Lawrence Lorenz." American Journalism 14, no. 2 (April 1997): 209–22. http://dx.doi.org/10.1080/08821127.1997.10731906.

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49

Lorenz, Rebecca A. "Commentary by Lorenz." Clinical Nursing Research 18, no. 3 (July 15, 2009): 218–22. http://dx.doi.org/10.1177/1054773809341941.

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50

Groot, Loek. "Carbon Lorenz curves." Resource and Energy Economics 32, no. 1 (January 2010): 45–64. http://dx.doi.org/10.1016/j.reseneeco.2009.07.001.

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