scholarly journals Interpolative Boolean Networks

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-15
Author(s):  
Vladimir Dobrić ◽  
Pavle Milošević ◽  
Aleksandar Rakićević ◽  
Bratislav Petrović ◽  
Ana Poledica

Boolean networks are used for modeling and analysis of complex systems of interacting entities. Classical Boolean networks are binary and they are relevant for modeling systems with complex switch-like causal interactions. More descriptive power can be provided by the introduction of gradation in this model. If this is accomplished by using conventional fuzzy logics, the generalized model cannot secure the Boolean frame. Consequently, the validity of the model’s dynamics is not secured. The aim of this paper is to present the Boolean consistent generalization of Boolean networks, interpolative Boolean networks. The generalization is based on interpolative Boolean algebra, the [0,1]-valued realization of Boolean algebra. The proposed model is adaptive with respect to the nature of input variables and it offers greater descriptive power as compared with traditional models. For illustrative purposes, IBN is compared to the models based on existing real-valued approaches. Due to the complexity of the most systems to be analyzed and the characteristics of interpolative Boolean algebra, the software support is developed to provide graphical and numerical tools for complex system modeling and analysis.

2004 ◽  
Vol 57 (6) ◽  
pp. 443-478 ◽  
Author(s):  
Giuseppe Rega

This review article is the first of three parts of a Special Issue dealing with finite-amplitude oscillations of elastic suspended cables. This part is concerned with system modeling and methods of analysis. After shortly reporting on cable historical literature and identifying the topic and scope of the review, the article begins with a presentation of the mechanical system and of the ensuing mathematical models. Continuum equations of cable finite motion are formulated, their linearized version is reported, and nonlinear discretized models for the analysis of 2D or 3D vibration problems are discussed. Approximate methods for asymptotic analysis of either single or multi-degree-of-freedom models of small-sag cables are addressed, as well as asymptotic models operating directly on the original partial differential equations. Numerical tools and geometrical techniques from dynamical systems theory are illustrated with reference to the single-degree-of-freedom model of cable, reporting on measures for diagnosis of nonlinear and chaotic response, as well as on techniques for local and global bifurcation analysis. The paper ends with a discussion on the main features and problems encountered in nonlinear experimental analysis of vibrating suspended cables. This review article cites 226 references.


2012 ◽  
Vol 614-615 ◽  
pp. 1299-1302
Author(s):  
Ming Jing Li ◽  
Yu Bing Dong ◽  
Guang Liang Cheng

Multiple high speed CMOS cameras composing intersection system to splice large effect field of view(EFV). The key problem of system is how to locate multiple CMOS cameras in suitable position. Effect field of view was determined according to size, quantity and dispersion area of objects, so to determine camera position located on below, both sides and ahead to moving targets. This paper analyzes effect splicing field of view, operating range etc through establishing mathematical model and MATLAB simulation. Location method of system has advantage of flexibility splicing, convenient adjustment, high reliability and high performance-price ratio.


BIOMATH ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 2106147
Author(s):  
Debkumar Pal ◽  
D Ghosh ◽  
P K Santra ◽  
G S Mahapatra

This paper presents the current situation and how to minimize its effect in India through a mathematical model of infectious Coronavirus disease (COVID-19). This model consists of six compartments to population classes consisting of susceptible, exposed, home quarantined, government quarantined, infected individuals in treatment, and recovered class. The basic reproduction number is calculated, and the stabilities of the proposed model at the disease-free equilibrium and endemic equilibrium are observed. The next crucial treatment control of the Covid-19 epidemic model is presented in India's situation. An objective function is considered by incorporating the optimal infected individuals and the cost of necessary treatment. Finally, optimal control is achieved that minimizes our anticipated objective function. Numerical observations are presented utilizing MATLAB software to demonstrate the consistency of present-day representation from a realistic standpoint.


2000 ◽  
Vol 123 (2) ◽  
pp. 262-268 ◽  
Author(s):  
C. C. Cheng ◽  
P. W. Wang

An impedance-based system modeling technique has been developed to determine the output forces of multiple piezoelectric (PZT) patch actuators on an active structure to produce a known vibration response. In the analysis of the dynamic response of a structure driven by multiple PZT patches, the proposed model includes not only the dynamic interactions between the PZT patch and the host structure but also the impedance couplings among PZT patches. Therefore this approach can apply to a structure with multiple PZT actuators. Furthermore, the bending stiffness and the thickness of a PZT patch that are proved to be important as increases of excitation frequency are included in the proposed impedance model. Examples are given to demonstrate how to synthesize a known vibration response and how to suppress vibration response at an arbitrary location on structures using this technique.


Author(s):  
Mark Aschheim ◽  
Enrique Hernández-Montes ◽  
Dimitrios Vamvatsikos

2001 ◽  
Vol 7 (4) ◽  
pp. 294-303
Author(s):  
Bernd Reichelt

In Germany the building industry is in recession at the moment. Especially the SMEs have to adapt to different situation in order to survive. One possible strategy could be taken on orders as main contractors. This has until now been donne dominantely by large building enterprises. The author describes problems and chances which arise if the SMEs take on package projects. He develops a strategic idea that is based on intensive use of computers in all processes and on new forms of cooperation (partnering) that is less known in Germany. The author is convinced that in future the collaboration of partners will play a significant role in the construction of structures that are completely finished and ready for sale. After the improvement of the prototype and optimisation of the information system, the proposed model has a good potential in the field of small and medium business units. After the methodological knowledge and software blend into one product, a new solution will be received, viz the franchise. The integrated system of working with an interested contractor general, his subcontractors and, if necessary, the construction master, that includes training, software support, software test runs, elimination of conflicts and faults, etc. In the first projects the franchiser must provide the intermediator. The Institute of Collaboration of Construction Partners that earns its income from the sale of franchises may perform scientific improvement of methods and software; the Institute is also engaged in dealing with atypical problems, support of subcontractors and contractors in their search for new ideas, as well as in the promotion of its methods using public relations.


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