scholarly journals Eigenvalue Spectrum and Synchronizability of Two Types of Double-Layer Star-Ring Networks with Hybrid Directional Coupling

2021 ◽  
Vol 2021 ◽  
pp. 1-20
Author(s):  
Feimei Yang ◽  
Zhen Jia ◽  
Yang Deng
Keyword(s):  
Double Layer ◽  
Structural Parameters ◽  
Laplacian Matrix ◽  
Leaf Node ◽  
Ring Networks ◽  
Eigenvalue Spectrum ◽  
Directional Coupling ◽  
Node Network ◽  
The Relationship ◽  
Theoretical Results

In this study, we studied the eigenvalue spectrum and synchronizability of two types of double-layer hybrid directionally coupled star-ring networks, namely, the double-layer star-ring networks with the leaf node pointing to the hub node (Network I) and the double-layer star-ring networks with the hub node pointing to the leaf node (Network II). We strictly derived the eigenvalue spectrum of the supra-Laplacian matrix of these two types of networks and analyzed the relationship between the synchronizability and the structural parameters of networks based on the master stability function theory. Furthermore, the correctness of the theoretical results was verified through numerical simulations, and the optimum structural parameters were obtained to achieve the optimal synchronizability.

scholarly journals Synchronizability of Multilayer Star and Star-Ring Networks

2020 ◽  
Vol 2020 ◽  
pp. 1-20 ◽  
Author(s):  
Yang Deng ◽  
Zhen Jia ◽  
Feimei Yang
Keyword(s):  
Structural Parameters ◽  
Interlayer Coupling ◽  
Ring Networks ◽  
Stability Function ◽  
Eigenvalue Spectrum ◽  
Number Of Layers ◽  
Analytic Expressions ◽  
Coupling Strengths ◽  
The Relationship ◽  
Theoretical Results

Synchronization of multilayer complex networks is one of the important frontier issues in network science. In this paper, we strictly derived the analytic expressions of the eigenvalue spectrum of multilayer star and star-ring networks and analyzed the synchronizability of these two networks by using the master stability function (MSF) theory. In particular, we investigated the synchronizability of the networks under different interlayer coupling strength, and the relationship between the synchronizability and structural parameters of the networks (i.e., the number of nodes, intralayer and interlayer coupling strengths, and the number of layers) is discussed. Finally, numerical simulations demonstrated the validity of the theoretical results.

scholarly journals Consensus Analysis for Third-Order Multiagent Systems in Directed Networks

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Yanfen Cao ◽  
Yuangong Sun
Keyword(s):  
Dynamical Systems ◽  
Multiagent Systems ◽  
Sufficient Conditions ◽  
Laplacian Matrix ◽  
Consensus Problem ◽  
Third Order ◽  
Consensus Analysis ◽  
Necessary And Sufficient ◽  
The Relationship ◽  
Theoretical Results

We investigate consensus problem for third-order multiagent dynamical systems in directed graph. Necessary and sufficient conditions to consensus of third-order multiagent systems have been established under three different protocols. Compared with existing results, we focus on the relationship between the scaling strengths and the eigenvalues of the involved Laplacian matrix, which guarantees consensus of third-order multiagent systems. Finally, some simulation examples are given to illustrate the theoretical results.

scholarly journals Eigenvalue Spectrum and Synchronizability of Double-Layer Directed Ring Networks

2021 ◽  
Vol 09 (12) ◽  
pp. 3067-3087
Author(s):  
Ping Wu ◽  
Zhen Jia ◽  
Feimei Yang ◽  
Jiaquan Huang
Keyword(s):  
Double Layer ◽  
Ring Networks ◽  
Eigenvalue Spectrum

SELECTED FACTORS AND PURCHASE PRICE LEVELS OF SOUR CHERRIES FOR PROCESSING IN POLAND

2021 ◽  
Vol XXIII (2) ◽  
pp. 51-63
Author(s):  
Sylwia Kierczyńska
Keyword(s):  
Food Processing ◽  
Structural Parameters ◽  
Sour Cherry ◽  
Econometric Models ◽  
Purchase Price ◽  
Method Of Least Squares ◽  
Price Levels ◽  
Multiple Regression Method ◽  
The Subject ◽  
The Relationship

This study aims to identify the factors forming the purchase price levels of sour cherries for processing in Poland and to determine the way such factors affect these price levels. The scope of the study covers the 2004-2018 period. The subject of the study were the annual average purchase prices of sour cherries for freezing and sour cherries for pressing. Those prices were published by the Institute of Agricultural and Food Economics in the magazine “Rynek Owoców i Warzyw” [“Fruit and Vegetable Market”]. A multiple regression method was used for analysing the relationship between the purchase prices of sour cherries and their determinants. The estimation of the structural parameters of econometric models was done using the method of least squares. The estimated econometric models explain approximately 80% volatility in the purchase prices of sour cherries for processing. The sour cherry harvest both in Poland and Germany as well as the strawberry harvest in Poland proved to be significant for the purchase prices of sour cherries. Strawberries may be a substitute for sour cherries in food processing. The importance of this factor for the formation of the purchase prices of sour cherries is a significant result of this study.

scholarly journals Wicksell's Problem in Local Stereology

2013 ◽  
Vol 45 (4) ◽  
pp. 925-944
Author(s):  
Ó. Thórisdóttir ◽  
M. Kiderlen
Keyword(s):  
Reference Point ◽  
Simulated Data ◽  
Domain Of Attraction ◽  
Spherical Particles ◽  
Section Profile ◽  
Particle Parameters ◽  
The Individual ◽  
The Relationship ◽  
Theoretical Results ◽  
Isotropic Random

Wicksell's classical corpuscle problem deals with the retrieval of the size distribution of spherical particles from planar sections. We discuss the problem in a local stereology framework. Each particle is assumed to contain a reference point and the individual particle is sampled with an isotropic random plane through this reference point. Both the size of the section profile and the position of the reference point inside the profile are recorded and used to recover the distribution of the corresponding particle parameters. Theoretical results concerning the relationship between the profile and particle parameters are discussed. We also discuss the unfolding of the arising integral equations, uniqueness issues, and the domain of attraction relations. We illustrate the approach by providing reconstructions from simulated data using numerical unfolding algorithms.

scholarly journals Justification of the Rheological Model of Process of Plastic Material Injection by the Rollers

2019 ◽  
Vol 23 (3) ◽  
pp. 101-114
Author(s):  
Katarzyna Szwedziak ◽  
Igor Stadnyk ◽  
Sergey Golyachuk ◽  
Żaneta Grzywacz
Keyword(s):  
Rheological Model ◽  
Plastic Material ◽  
Structural Parameters ◽  
Structural Elements ◽  
Reduced Viscosity ◽  
Physical Experiments ◽  
Nonlinear Character ◽  
Shearing Deformation ◽  
Working Bodies ◽  
The Relationship

AbstractIt is justified thatproblems related to the changes in structural and mechanical properties of plastic material and influence of structural elements of equipment and modes of implementation of the for-mation process on them are considered detail, taking into account empirical data, theoretical dependencies and results of physical experiments. It was established that during the mechanical influence of rollers with grooves on a structured dispersion plastic material in the node of injection of the molding machine, internal shear, and shearing deformation have a preponderant value. Accordingly, the productivity of machines is determined mainly by the structural parameters of the working bodies geometry, kinematics, and contact area. It is shown that increasing the pressure in the plastic material causes a decrease in its volume, but the relationship between pressure and volume has a nonlinear character. It has been established that regardless the variety of flour from which the plastic material was prepared for bagels, its moisture content and the duration of fermentation reduced viscosity of the effective plastic material along with the increase of the shear stress. The paper describes the refined rheological model of the Bingham body deformation, which develops instantaneously, and the velocity of the common elastic deformation in the dough is a simultaneous function of stresses and temperatures, which are close to exponential ones.

scholarly journals Threshold Treewidth and Hypertree Width

2020 ◽  
Author(s):  
Robert Ganian ◽  
Andre Schidler ◽  
Manuel Sorge ◽  
Stefan Szeider
Keyword(s):  
Constraint Satisfaction ◽  
Constraint Satisfaction Problem ◽  
Structural Parameters ◽  
Exact Methods ◽  
Fixed Parameter Tractable ◽  
Computational Costs ◽  
Fixed Parameter ◽  
Account Information ◽  
The Given ◽  
Theoretical Results

Treewidth and hypertree width have proven to be highly successful structural parameters in the context of the Constraint Satisfaction Problem (CSP). When either of these parameters is bounded by a constant, then CSP becomes solvable in polynomial time. However, here the order of the polynomial in the running time depends on the width, and this is known to be unavoidable; therefore, the problem is not fixed-parameter tractable parameterized by either of these width measures. Here we introduce an enhancement of tree and hypertree width through a novel notion of thresholds, allowing the associated decompositions to take into account information about the computational costs associated with solving the given CSP instance. Aside from introducing these notions, we obtain efficient theoretical as well as empirical algorithms for computing threshold treewidth and hypertree width and show that these parameters give rise to fixed-parameter algorithms for CSP as well as other, more general problems. We complement our theoretical results with experimental evaluations in terms of heuristics as well as exact methods based on SAT/SMT encodings.

scholarly journals Conflict-Directed Backjumping Revisited

2001 ◽  
Vol 14 ◽  
pp. 53-81 ◽  
Author(s):  
X. Chen ◽  
P. Van Beek
Keyword(s):  
Constraint Satisfaction Problems ◽  
Local Consistency ◽  
Backtracking Search ◽  
Arc Consistency ◽  
Look Ahead ◽  
Variable Ordering ◽  
Look Back ◽  
The Look ◽  
The Relationship ◽  
Theoretical Results

In recent years, many improvements to backtracking algorithms for solving constraint satisfaction problems have been proposed. The techniques for improving backtracking algorithms can be conveniently classified as look-ahead schemes and look-back schemes. Unfortunately, look-ahead and look-back schemes are not entirely orthogonal as it has been observed empirically that the enhancement of look-ahead techniques is sometimes counterproductive to the effects of look-back techniques. In this paper, we focus on the relationship between the two most important look-ahead techniques---using a variable ordering heuristic and maintaining a level of local consistency during the backtracking search---and the look-back technique of conflict-directed backjumping (CBJ). We show that there exists a ``perfect'' dynamic variable ordering such that CBJ becomes redundant. We also show theoretically that as the level of local consistency that is maintained in the backtracking search is increased, the less that backjumping will be an improvement. Our theoretical results partially explain why a backtracking algorithm doing more in the look-ahead phase cannot benefit more from the backjumping look-back scheme. Finally, we show empirically that adding CBJ to a backtracking algorithm that maintains generalized arc consistency (GAC), an algorithm that we refer to as GAC-CBJ, can still provide orders of magnitude speedups. Our empirical results contrast with Bessiere and Regin's conclusion (1996) that CBJ is useless to an algorithm that maintains arc consistency.

scholarly journals Recent Efforts in Modeling and Simulation of Textiles

Textiles ◽  
2021 ◽  
Vol 1 (2) ◽  
pp. 322-336
Author(s):  
Julia Orlik ◽  
Maxime Krier ◽  
David Neusius ◽  
Kathrin Pietsch ◽  
Olena Sivak ◽  
...  
Keyword(s):  
Cross Sections ◽  
Frictional Contact ◽  
Structural Information ◽  
Structural Parameters ◽  
Thin Plates ◽  
Loading Direction ◽  
Numerical Tools ◽  
Weaving Pattern ◽  
Spacer Fabrics ◽  
Theoretical Results

In many textiles and fiber structures, the behavior of the material is determined by the structural arrangements of the fibers, their thickness and cross-section, as well as their material properties. Textiles are thin plates made of thin long yarns in frictional contact with each other that are connected via a rule defined by a looping diagram. The yarns themselves are stretchable or non-stretchable. All these structural parameters of a textile define its macroscopic behavior. Its folding is determined by all these parameters and the kind of the boundary fixation or loading direction. The next influencing characteristic is the value of the loading. The same textile can behave similar to a shell and work just for bending, or behave as a membrane with large tension deformations under different magnitudes of the loading forces. In our research, bounds on the loading and frictional parameters for both types of behavior are found. Additionally, algorithms for the computation of effective textile properties based on the structural information are proposed. Further focus of our research is the nature of folding, induced by pre-strain in yarns and some in-plane restriction of the textile movements, or by the local knitting or weaving pattern and the yarn’s cross-sections. Further investigations concern different applications with spacer fabrics. Structural parameters influencing the macroscopic fabric behavior are investigated and a way for optimization is proposed. An overview of our published mathematical and numerical papers with developed algorithms is given and our numerical tools based on these theoretical results are demonstrated.

scholarly journals The relationship between the sovereignty of member states and the supernationality of international organizations

2020 ◽  
pp. 349-353
Author(s):  
Olga Shpakovych ◽  
Sofia Penkovska
Keyword(s):  
International Organizations ◽  
The State ◽  
International Organization ◽  
State Sovereignty ◽  
Member States ◽  
The Relationship ◽  
Theoretical Results ◽  
The Eu

The article presents the result of theoretical and practical study of the relationship between state sovereignty and supranationalityof international organizations. In particular, it is determined that the phenomenon of supranationality of international organizations isderived from state sovereignty and acts as its external law. It has been shown that, in view of this, supranationality is limited becauseit arises through the exercise of sovereignty by states, and, accordingly, is limited by the amount of state sovereignty exercised by states.The relevant mechanism has also been studied on the example of the functioning of the European Union.Regarding the theoretical results, the following should be noted. First, it was proved that despite the different approaches of scho -lars to the understanding of supranationality, definitions of this concept and the separation of its features (properties), in each case,supranationality is a direct realization of state sovereignty. At the same time, the realization of state sovereignty in relation to such pro -perties of international organizations as supranational is primary, and supranationality in this case is derivative. In addition, the phenomenonof supranationality of international organizations due to the fact that it is derived is limited, because supranationality arisesthrough the exercise of sovereignty by states, and, accordingly, is limited by the amount of state sovereignty exercised by states. Thatis why when analyzing the relationship between the supranationality of international organizations and state sovereignty, one cannotconsider the priority of one of the two, because supranationality is in essence a manifestation of state sovereignty.Regarding the practical results, the author considers it appropriate to emphasize that both the regional international organization –the EU was studied, and, at the same time, it was proved that all theoretical provisions were reflected in practice, in particular, envisagedfunctions, goals and the tasks of the studied international organizations are limited in scope by the manifestation of sovereignty shownby states, similar to the regulations issued by organizations. Another indication that the state can exercise its sovereignty in any case isthat there is an effective and transparent procedure for leaving these organizations

Sign in / Sign up

Export Citation Format

Share Document