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Ma, Junhai; Chen, Yushu

doi:10.1023/a:1016313804297

Cited by 136 publications

(43 citation statements)

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“…E. pauciflorus) into their current position in the genus. Our chemotaxonomy data were in good accordance with the conventional taxonomy systems of Euonymus L. genus [20] [21]. However, using the PSC of seed for this purpose AcDAGs has not provided so successful data, although some accordance of Euonymus species clustering for this parameter actually took place.…”

Section: Discussionsupporting

confidence: 78%

Positional‐Species Composition of Diacylglycerol Acetates from Mature Euonymus Seeds

Sidorov

Пчелкин

Жуков

et al. 2016

Chemistry & Biodiversity

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The positional-species composition (PSC) of 3-acetyl-1,2-diacyl-sn-glycerols (AcDAGs) from the seeds of mature fruits of 14 species of the genus Euonymus L. was established. The residues of six major fatty acids (FAs), palmitic (P), stearic (St), hexadecenoic (H), octadecenoic (O), linoleic (L), and linolenic (Ln), were present in the AcDAGs. Here, we demonstrated that the profile of PSC of AcDAGs could serve as chemotaxonomic factor to divide euonymus species studied here into groups which completely correlate with the present day systematic of the genus. In particular, the Euonymus section greatly exceeded other sections of the Euonymus subgenus as well as the Kalonymus one in the total levels of AcDAGs positional species having one and two O residues and was characterized by significantly lesser concentrations of species with one and two L residues. Moreover, in seed, AcDAGs of almost all Euonymus species EFL values were slightly higher than EFO ones, but all EFL and EFO values were higher than 1.0, and therefore, it can be concluded that both FAs mainly esterified sn-2-position of the glycerol moiety and saturated FAs residues were always virtually absent in the sn-2 position of Euonymus seed AcDAGs, as it is also the case in nearly all TAGs molecules of plant origin.

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Section: Discussionsupporting

confidence: 78%

Positional‐Species Composition of Diacylglycerol Acetates from Mature Euonymus Seeds

Sidorov

Пчелкин

Жуков

et al. 2016

Chemistry & Biodiversity

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“…The following differential equations define the three-dimensional chaotic finance system: (1) In system (1), the state variables x, y, z represent the interest rate, investment demand, price exponent; the positive real constants a, b, c represent saving amount, per-investment cost, elasticity of demands of commercials, respectively [25,26]. When the parameter values are a = 0.9, b = 0.2, and c = 1.2, the nonlinear finance system (1) displays chaotic motions [42].…”

Section: The Hyperchaotic Finance Systemmentioning

confidence: 99%

“…Z 1 = e 2 , Z 2 = e 3 , Z 2 = e 4 , Y = e 1 , and Z = [Z 1 Z 2 Z 3 ] are assumed. Then, system (20) can be rewritten as (21) System (21) can be written in the normal form of system (8) as follows: 25) If the same storage and Lyapunov functions are taken as in Equations (13) and (14), then the derivative of W(Z), according to Equation (22), becomes 1 1 26) which is negative definite. This implies that ) ( 0 Z f is globally asymptotically stable.…”

Section: Because Ofmentioning

confidence: 99%

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Controlling Hyperchaotic Finance System with Combining Passive and Feedback Controllers

Kocamaz

Göksu

Uyaroğlu

et al. 2018

ITC

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In this paper, a novel control method that combines passive, linear feedback, and dislocated feedback control methods is proposed and applied to the control of the four-dimensional hyperchaotic finance system which has been introduced and controlled with the linear feedback and speed feedback control methods by Yu, Cai, and Li (2012). The stability of the hyperchaotic finance system at its equilibrium points is ensured on the basis of a Lyapunov function. Computer simulations are used for verifying all the theoretical analyses visually. In the simulations, the proposed control method is also compared with the speed feedback and linear feedback control methods to observe its effectiveness. Finally, the comparative findings are discussed.

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“…At present, the fractional-order research on economic systems is mostly based on the Chen [11,12] system; research interests mainly involve the influence of order change, the stable state, delayed t f (t) …”

Section: Introductionmentioning

confidence: 99%

Study on the Inherent Complex Features and Chaos Control of IS–LM Fractional-Order Systems

Ren

Zhan

2016

Entropy

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Based on the traditional IS-LM economic theory, which shows the relationship between interest rates and output in the goods and services market and the money market in macroeconomic. We established a four-dimensional IS-LM model involving four variables. With the Caputo fractional calculus theory, we improved it into a fractional order nonlinear model, analyzed the complexity and stability of the fractional order system. The existences conditions of attractors under different order conditions are compared, and obtain the orders when the system reaches a stable state. Have the detail analysis on the dynamic phenomena, such as the strange attractor, sensitivity to initial values through phase diagram and the power spectral. The order changes in two ways: orders changes synchronously or single order changes. The results show regardless of which the order situation is, the economic system will enter into multiple states, such as strong divergence, strange attractor and the convergence, finally, system will enter into the stable state under a certain order; parameter changes have similar effects on the economic system. Therefore, selecting an appropriate order is significant for an economic system, which guarantees a steady development. Furthermore, this paper construct the chaos control to IS-LM fractional-order macroeconomic model by means of linear feedback control method, by calculating and adjusting the feedback coefficient, we make the system return to the convergence state.

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Cited by 136 publications

References 0 publications

Positional‐Species Composition of Diacylglycerol Acetates from Mature Euonymus Seeds

Positional‐Species Composition of Diacylglycerol Acetates from Mature Euonymus Seeds

Controlling Hyperchaotic Finance System with Combining Passive and Feedback Controllers

Study on the Inherent Complex Features and Chaos Control of IS–LM Fractional-Order Systems

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