•A semi-analytical method based on new Adomian polynomials is proposed.•Chaos in generalized Caputo fractional differential equations is numerically investigated.•Lyapunov stability is defined and a ...sufficient condition of asymptotic stability is given.
This paper investigates chaotic behavior and stability of fractional differential equations within a new generalized Caputo derivative. A semi–analytical method is proposed based on Adomian polynomials and a fractional Taylor series. Furthermore, chaotic behavior of a fractional Lorenz equation are numerically discussed. Since the fractional derivative includes two fractional parameters, chaos becomes more complicated than the one in Caputo fractional differential equations. Finally, Lyapunov stability is defined for the generalized fractional system. A sufficient condition of asymptotic stability is given and numerical results support the theoretical analysis.
Purpose - The purpose of this paper is to explore the relationship between green supply chain integration (GSCI) and green innovation and to analyze the moderating effects of environmental ...uncertainty.Design methodology approach - A multi-dimensional approach was employed to develop a comprehensive theoretical framework which encompasses various aspects of GSCI, green innovation and environmental uncertainty. To identify the effects of GSCI and environmental uncertainty on green innovation, hierarchical moderated regression analysis was applied using questionnaire data from 211 Taiwanese, information technology (IT) manufacturers.Findings - Supplier, customer and internal integration enhance both green product and process innovations. Demand uncertainty positively moderates each GSCI-green innovation link. However, the moderating effect of technological uncertainty is insignificant.Research limitations implications - This study conducted a cross-sectional investigation of the Taiwanese IT industry. Therefore, it lacks the advantages of a longitudinal case study and its findings cannot be generalized to other industries.Practical implications - This study argues that, to improve green innovation performance, managers should endeavor to integrate resources and capabilities within their organizations, suppliers and customers. It also suggests that managers should constantly follow demand trends in the market and maintain tight technological networks among supply chain partners.Originality value - This study provides new insights into green supply chain management (GSCM) knowledge: theoretically creating GSCI-green innovation links with the natural-resource-based view, and empirically demonstrating that effective green innovation requires multi-dimensional GSCI. Furthermore, it develops a valid and reliable scale of environmental uncertainty for future research in GSCM, and presents the characteristics of implementing GSCI in Taiwan's IT industry.
A discrete fractional logistic map is proposed in the left Caputo discrete delta’s sense. The new model holds discrete memory. The bifurcation diagrams are given and the chaotic behaviors are ...numerically illustrated.
Purpose
fMRI is the convolution of the hemodynamic response function (HRF) and unmeasured neural activity. HRF variability (HRFv) across the brain could, in principle, alter functional connectivity ...(FC) estimates from resting‐state fMRI (rs‐fMRI). Given that HRFv is driven by both neural and non‐neural factors, it is problematic when it confounds FC. However, this aspect has remained largely unexplored even though FC studies have grown exponentially. We hypothesized that HRFv confounds FC estimates in the brain's default‐mode‐network.
Methods
We tested this hypothesis using both simulations (where the ground truth is known and modulated) as well as rs‐fMRI data obtained in a 7T MRI scanner (N = 47, healthy). FC was obtained using 2 pipelines: data with hemodynamic deconvolution (DC) to estimate the HRF and minimize HRFv, and data with no deconvolution (NDC, HRFv‐ignored). DC and NDC FC networks were compared, along with regional HRF differences, revealing potential false connectivities that resulted from HRFv.
Results
We found evidence supporting our hypothesis using both simulations and experimental data. With simulations, we found that HRFv could cause a change of up to 50% in FC. With rs‐fMRI, several potential false connectivities attributable to HRFv, with majority connections being between different lobes, were identified. We found a double exponential relationship between the magnitude of HRFv and its impact on FC, with a mean/median error of 30.5/11.5% caused in FC by HRF confounds.
Conclusion
HRFv, if ignored, could cause identification of false FC. FC findings from HRFv‐ignored data should be interpreted cautiously. We suggest deconvolution to minimize HRFv.
The utility of electronically conductive metal–organic frameworks (EC‐MOFs) in high‐performance devices has been limited to date by a lack of high‐quality thin film. The controllable thin‐film ...fabrication of an EC‐MOF, Cu3(HHTP)2, (HHTP=2,3,6,7,10,11‐hexahydroxytriphenylene), by a spray layer‐by‐layer liquid‐phase epitaxial method is reported. The Cu3(HHTP)2 thin film can not only be precisely prepared with thickness increment of about 2 nm per growing cycle, but also shows a smooth surface, good crystallinity, and high orientation. The chemiresistor gas sensor based on this high‐quality thin film is one of the best room‐temperature sensors for NH3 among all reported sensors based on various materials.
A wafer‐thin sensor: The preparation of a crystalline, highly‐oriented, and thickness‐controlled thin film with an electronically conductive MOF is reported. Chemiresistive sensors based on these thin films show a high response, excellent selectivity, fast response speed, and good long‐term stability towards NH3 gas at room temperature.
Pure organic room temperature phosphorescence (RTP) is highly preferable because of its long lifetime and potential applications. However, these kinds of materials are still very scarce due to the ...weak spin–orbit coupling between singlet and triplet states and easily nonradiative decay of the excited states. Achieving room temperature phosphorescence under visible light excitation is particularly challenging in aqueous solution. Herein, a micelle‐assisted assembling strategy has been developed to realize pure organic RTP in water by using donor–acceptor molecules. A visible‐light responsive long‐lived RTP in water with a lifetime more than 3 ms is obtained by the prepared nanocrystals. However, the same molecules show no RTP as rigid bulk crystals. Spectroscopic studies, single‐crystal structure analysis, X‐ray diffraction patterns, and density functional theory calculations reveal that the intermolecular interactions, heavy atom effect, and the molecular packing way play critical role to the long‐lived RTP character for the assembled nanocrystals in water and thermally activated delayed fluorescence for crystals in solid.
A micelle‐assisted assembly strategy to realize long‐lived pure organic room temperature phosphorescence under visible light excitation in water is reported. The molecular packing plays a critical role to the room temperature phosphorescence character in the assembled nanocrystals and delayed fluorescence in the crystals.
Fractional derivatives with memory effects have been widely used in image processing. This study investigates a discrete analogy of tempered fractional calculus on an isolated time scale and provides ...a new kind of discrete fractional calculus. Some useful properties and discrete Mittag–Leffler functions are derived. Numerical formulae are obtained accordingly. Finally, a new fractional logistic map with two parameters is proposed and chaotic behavior is illustrated. Image encryption is given as the application to show high security.
A
bstract
The reduced density matrix of a given subsystem, denoted by
ρ
A
, contains the information on subregion duality in a holographic theory. We may extract the information by using the spectrum ...(eigenvalue) of the matrix, called entanglement spectrum in this paper. We evaluate the density of eigenstates, one-point and two-point correlation functions in the microcanonical ensemble state
ρ
A,m
associated with an eigenvalue
λ
for some examples, including a single interval and two intervals in vacuum state of 2D CFTs. We find there exists a microcanonical ensemble state with
λ
0
which can be seen as an approximate state of
ρ
A
. The parameter
λ
0
is obtained in the two examples. For a general geometric state, the approximate microcanonical ensemble state also exists. The parameter
λ
0
is associated with the entanglement entropy of
A
and Rényi entropy in the limit
n → ∞
. As an application of the above conclusion we reform the equality case of the Araki-Lieb inequality of the entanglement entropies of two intervals in vacuum state of 2D CFTs as conditions of Holevo information. We show the constraints on the eigenstates. Finally, we point out some unsolved problems and their significance on understanding the geometric states.
C–H Functionalization of Aromatic Amides Zheng, Quan; Liu, Chen‐Fu; Chen, Jie ...
Advanced synthesis & catalysis,
April 8, 2020, Letnik:
362, Številka:
7
Journal Article
Recenzirano
Since the beginning of the 21st century, significant progress has been made in transition metal‐catalyzed C–H functionalization of aromatic amides. The achievements in this field have mainly focused ...on ortho (proximal) functionalization, there have been far fewer reports on remote C–H functionalization, and para‐ and meta‐selective functionalizations remain a major challenge. Interestingly, there are few related comments in this field. In a few published cases, the scope of the report is relatively narrow, either to comment on the functionalization of a specific directing group or to summarize the functionalization of a specific reaction site. Herein, for the first time, we have comprehensively summarized the C–H functionalization of aromatic amides. This review is divided into three parts: ortho‐, para‐ and meta‐C–H functionalization of aromatic amides, and is subdivided according to the type of catalyst. The directing groups, reaction types, conditions, mechanism and applications of the corresponding reactions are discussed in detail.
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