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In this work, a bibliometric analysis of the investigations of the last 54 years focused on the teaching of topology and its applications in the learning of other areas of knowledge was carried out. The articles that appear in the SCOPUS database were taken into account under the search criteria of the words topology and teaching, connected with the Boolean expression AND in the search field ABS. As a result, 329 articles were obtained which, based on the PRISMA methodology, were reduced to 74 papers. In them publication trends, impact of publications, citation frequencies, among others, were compared. In addition, its use was identified for learning topology at different levels of training, areas of knowledge where this discipline is most applied and strategies used to teach these applications.

A tracking control scheme is proposed for complex dynamic network (CDN), where the CDN is regarded wholly as a dynamic composite system which consists of two mutually coupled subsystems. One subsystem consists of all nodes and the other consists of all links, and consider the weights of the links to be state variables in the latter subsystem. There are two parts in the structure of the proposed tracking control scheme: the designed controller of nodes and the synthesis of the coupling term in links. These two parts can guarantee two subsystems to asymptotically track the given reference targets, respectively. This approach originates from the communication transmission network (CTN). In CTN, for the network optimization management, the reference network topology (NT), such as the star topology, is required as a target for tracking in communication transmission (links) when each node in network needs to track its own target. The control scheme provided of this paper coincides with above requirement. And finally, a comparative simulation example is given for illustrating the effectiveness of the provided control scheme. • The dynamic equations of nodes and NT are represented by the matrix differential equations, this can contain many models in other papers and simplify the control scheme, which is rarely discussed. • The tracking targets of nodes and NT given in this paper are independent of each other, which is novel. • When all nodes track the reference targets, the eventual network layout is shown by the desired NT, which is novel. [ABSTRACT FROM AUTHOR]

A broadband cluster transducer, based on barrel-stave flextensional transducer technology, was designed, built, and tested in air and seawater at Defence R&D Canada—Atlantic. The design goal was to develop a transducer that exhibited a transmitting voltage response of greater than 120 dB//1 μPa-m/V from 1 to 7 kHz and have the potential for beamsteering. Six orthogonal piezoceramic-driven class I barrel-stave transducer elements mounted on a central manifold were wired separately, allowing each to be driven individually or in combination with the other elements. The resonance modes under the following drive conditions were determined from in-air conductance measurements: each of the six elements excited individually as mass-loaded class I flextensionals, three collinear pairs driven separately as class III flextensionals, and all six elements driven in phase simultaneously. The fully-driven cluster was found to have a transmitting voltage response of greater than 120 dB//1 μPa-m/V from 800 Hz to more than 10 kHz and its topology is amenable to beamsteering that is yet to be characterized. [ABSTRACT FROM AUTHOR]