ALGEBRAIC APPROACH TO DYNAMICS OF MULTIVALUED NETWORKS

2010 ◽  
Vol 20 (03) ◽  
pp. 561-582 ◽  
Author(s):  
ZHIQIANG LI ◽  
DAIZHAN CHENG
Keyword(s):  
Discrete Time ◽  
Transition Matrix ◽  
Algebraic Approach ◽  
Bilinear System ◽  
Logical Function ◽  
Control Networks ◽  
Logical Network ◽  
Multilinear Mapping ◽  
Network Transition ◽  
Matrix Expression

Using semi-tensor product of matrices, a matrix expression for multivalued logic is proposed, where a logical variable is expressed as a vector, and a logical function is expressed as a multilinear mapping. Under this framework, the dynamics of a multivalued logical network is converted into a standard discrete-time linear system. Analyzing the network transition matrix, easily computable formulas are obtained to show (a) the number of equilibriums; (b) the numbers of cycles of different lengths; (c) transient period, the minimum time for all points to enter the set of attractors, respectively. A method to reconstruct the logical network from its network transition matrix is also presented. This approach can also be used to convert the dynamics of a multivalued control network into a discrete-time bilinear system. Then, the structure and the controllability of multivalued logical control networks are revealed.

Logical Network Boundary Controller

2009 ◽  
Author(s):  
John Wu ◽  
Yongdae Kim ◽  
Ryan Marotz ◽  
Ranga Ramanujan ◽  
James Tyra
Keyword(s):  
Logical Network ◽  
Network Boundary

Teaching Nature, to Learn from Nature

1986 ◽  
Vol 5 (1) ◽  
pp. 83-91 ◽  
Author(s):  
Alfredo Milanaccio
Keyword(s):  
Subject Matter ◽  
Natural Environments ◽  
Teaching Techniques ◽  
General Philosophy ◽  
Traditional Methods ◽  
Logical Network

This article describes some aspects of an Italian didactic-pedagogic experiment about interaction between “town” pupils and natural environments. The project's general philosophy is to try to make pupils aware of our condition as “biocultural beings,” as results of biological, technological, and cultural co-evolution. The presence of extensive natural, cultural, and technological resources at the site where the experiment takes place favors such an awareness.Some examples of teaching techniques designed especially to introduce pupils to the difficult but necessary subject matter of co-evolution are also described. Such teaching techniques have as their main goal to make the pupils themselves able to construct a logical network of questions, rather than in teachers giving them already prepared answers.The as yet unresolved problems, which concern the training of teachers steeped in traditional methods, are also briefly described.

Complete multiple round quantum dense coding with quantum logical network

2007 ◽  
Vol 52 (9) ◽  
pp. 1162-1165 ◽  
Author(s):  
ChunYan Li ◽  
XiHan Li ◽  
FuGuo Deng ◽  
Ping Zhou ◽  
HongYu Zhou
Keyword(s):  
Dense Coding ◽  
Quantum Dense Coding ◽  
Logical Network ◽  
Multiple Round

Making Networked Virtual Environments Work

2001 ◽  
Vol 10 (2) ◽  
pp. 142-159 ◽  
Author(s):  
Chris Greenhalgh ◽  
Adrian Bullock ◽  
Emmanuel Frécon ◽  
David Lloyd ◽  
Anthony Steed
Keyword(s):  
Virtual Environments ◽  
Three Dimensional ◽  
Network Behavior ◽  
Collaborative Virtual Environments ◽  
Valuable Data ◽  
Promising Technology ◽  
Networked Virtual Environments ◽  
Logical Network ◽  
Ip Multicasting ◽  
Network Topologies

Collaborative virtual environments (CVEs) are a promising technology enabling remote participants to share a common place through three-dimensional graphical scenes. Within the COVEN project (Normand, 1999), we have run prolonged series of Internet trials that have allowed us to gather valuable data to formulate usability guidelines and networking requirements. However, running such trials in a real setting and making sure that the application and networking infrastructures will be stable enough is still a challenge. In this paper, we describe some of our experiences, together with the technical choices that have permitted many hours of successful Internet trials. We also make a thorough analysis of different correlated logging data. This analysis allows us to propose and confirm a model of a CVE application's network behavior, together with a number of interesting results that disprove some common assumptions. Furthermore, we use the model and the logging data to highlight the benefits of IP multicasting and for predicting traffic behaviors and bandwidth use on top of different logical network topologies.

SYNCHRONIZATION ANALYSIS FOR MULTIVALUED LOGICAL NETWORKS

2013 ◽  
Vol 23 (04) ◽  
pp. 1350059 ◽  
Author(s):  
FANGFEI LI ◽  
JITAO SUN
Keyword(s):  
Feedback Control ◽  
Tensor Product ◽  
Discrete Time ◽  
Open Loop ◽  
Open Loop Control ◽  
Loop Control ◽  
Logical Network ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Product Of Matrices

The synchronization for two k-valued logical networks of the same dimensions is studied in this paper. First, based on the theory of semi-tensor product of matrices, the master-slave systems (two k-valued logical networks) are converted into discrete-time systems. Second, both open-loop control and feedback control are provided to make the slave network synchronize with the master k-valued logical network. Finally, examples are provided to illustrate the efficiency of the obtained results.

Time and Cognition in Marvell’s “To his Coy Mistress”

2015 ◽  
Vol 1 (2) ◽  
pp. 241-260
Author(s):  
Francisco J. Ruiz de Mendoza Ibáñez ◽  
María Asunción Barreras Gómez
Keyword(s):  
Conceptual Metaphor ◽  
Conceptual Metaphor Theory ◽  
Logical Network ◽  
Use Of Time ◽  
Metaphor Theory ◽  
Carpe Diem ◽  
Traditional Understanding ◽  
Structural Aspects

Andrew Marvell’s poem “To his coy mistress” has generally been taken as one more example of thecarpe diemtradition in literature. This tradition makes use of time metaphors, especially time is a resource. However, we find that Marvell exploits this and other time metaphors in ways that go beyond the traditional understanding of thecarpe diemmotif. We first give an overview of the treatment of the notion of time within Conceptual Metaphor Theory, which is then applied to the understanding of central thematic and structural aspects of the poem. We stress the importance of the metaphorstime is a resource, time moves, events are actionsand a cluster of metaphors revolving around thecarpe diemmotif. Finally, the paper discusses how Marvell imaginatively organizes what otherwise would be considered mere stock metaphors into an intricate logical network specifically tailored to sustain an argumentative line.

scholarly journals Traffic Routing Method for the Internet of Things Based on the Minimum of Collisions Probability

2019 ◽  
Vol 5 (3) ◽  
pp. 37-44 ◽  
Author(s):  
A. Koucheryavy ◽  
O.A. Mahmood ◽  
A. Paramonov
Keyword(s):  
Internet Of Things ◽  
Network Structure ◽  
Simulation Modeling ◽  
High Density ◽  
The Internet ◽  
Logical Network ◽  
Traffic Routing ◽  
Routing Method ◽  
Route Choices ◽  
The Internet Of Things

The article discusses the analysis of the main approaches to the route choices in the networks of the Internet of Things and suggests a method of choosing routes taking into account the probability of collisions, which allows to create a logical network structure. The proposed method is based on the seeking algorithm of the quickest route on the graph. This method was implemented by means of simulation modeling, with the help of which was estimated the effectiveness for networks with high density of units comparing with the methods, which are based on the evaluation of the length of the route.

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