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Keywords = cybernetic orders

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16 pages, 263 KB  
Article
Global Dynamics of a Rational Difference Equation and Its Solutions to Several Conjectures
by Shaoxia Jin, Xianyi Li and Bo Sun
Mathematics 2025, 13(7), 1148; https://doi.org/10.3390/math13071148 - 31 Mar 2025
Viewed by 444
Abstract
In this paper, we investigate the global attractivity of a higher-order rational difference equation in the form xn+1=p+qxn1+rxn+sxnk, where [...] Read more.
In this paper, we investigate the global attractivity of a higher-order rational difference equation in the form xn+1=p+qxn1+rxn+sxnk, where p,q,r,s0, k is a positive integer, and the initial conditions are nonnegative. This equation generalizes several well-known rational difference equations studied in the literature. By employing a combination of advanced mathematical techniques, including the use of key lemmas and intricate computations, we establish that the unique nonnegative equilibrium point of the equation is globally attractive under specific parameter conditions. Our results not only extend and improve upon existing findings but also resolve several conjectures posed by previous researchers, including those by G. Ladas and colleagues. The methods involve transforming the higher-order equation into a first-order difference equation and analyzing the properties of the resulting function, particularly its Schwarzian derivative. The findings demonstrate that the equilibrium point is globally attractive when certain inequalities involving the parameters are satisfied. This work contributes to the broader understanding of the dynamics of rational difference equations and has potential applications in various fields such as biology, physics, and cybernetics. Full article
(This article belongs to the Special Issue Advances in Applied Mathematics, Mechanics and Engineering)
24 pages, 604 KB  
Article
Implications of Second-Order Cybernetics and Autopoiesis on Systems-of-Systems Engineering
by Jakob Axelsson
Systems 2025, 13(2), 119; https://doi.org/10.3390/systems13020119 - 13 Feb 2025
Cited by 1 | Viewed by 3015
Abstract
Systems-of-systems are often characterized as systems where the constituent parts have some independence from the whole. Recent research has aimed at clarifying in more detail what this independence means. It has shown that independence requires the constituent systems to be agents that observe [...] Read more.
Systems-of-systems are often characterized as systems where the constituent parts have some independence from the whole. Recent research has aimed at clarifying in more detail what this independence means. It has shown that independence requires the constituent systems to be agents that observe the system-of-systems from within and construct internal models of it as a basis for decisions. This view on observers as parts of the system-of-systems parallels development in the field of second-order cybernetics several decades ago, yet the connection between that field and systems-of-systems has not been explored previously. This paper, therefore, summarizes key concepts from second-order cybernetics, including the subtopic autopoiesis. It then discusses what the implications are on systems-of-systems engineering through the identification of 17 concerns. These concerns relate to the physical topology, behavior, and control of the system-of-systems. This paper shows how these concerns directly relate to the theoretical concepts of second-order cybernetics and autopoiesis, and thereby, opens the door to further exploitation of this theoretical foundation. Full article
(This article belongs to the Special Issue System of Systems Engineering)
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24 pages, 463 KB  
Review
Universal Complexity Science and Theory of Everything: Challenges and Prospects
by Srdjan Kesić
Systems 2024, 12(1), 29; https://doi.org/10.3390/systems12010029 - 15 Jan 2024
Cited by 4 | Viewed by 10815
Abstract
This article argues that complexity scientists have been searching for a universal complexity in the form of a “theory of everything” since some important theoretical breakthroughs such as Bertalanffy’s general systems theory, Wiener’s cybernetics, chaos theory, synergetics, self-organization, self-organized criticality and complex adaptive [...] Read more.
This article argues that complexity scientists have been searching for a universal complexity in the form of a “theory of everything” since some important theoretical breakthroughs such as Bertalanffy’s general systems theory, Wiener’s cybernetics, chaos theory, synergetics, self-organization, self-organized criticality and complex adaptive systems, which brought the study of complex systems into mainstream science. In this respect, much attention has been paid to the importance of a “reductionist complexity science” or a “reductionist theory of everything”. Alternatively, many scholars strongly argue for a holistic or emergentist “theory of everything”. The unifying characteristic of both attempts to account for complexity is an insistence on one robust explanatory framework to describe almost all natural and socio-technical phenomena. Nevertheless, researchers need to understand the conceptual historical background of “complexity science” in order to understand these longstanding efforts to develop a single all-inclusive theory. In this theoretical overview, I address this underappreciated problem and argue that both accounts of the “theory of everything” seem problematic, as they do not seem to be able to capture the whole of reality. This realization could mean that the idea of a single omnipotent theory falls flat. However, the prospects for a “holistic theory of everything” are much better than a “reductionist theory of everything”. Nonetheless, various forms of contemporary systems thinking and conceptual tools could make the path to the “theory of everything” much more accessible. These new advances in thinking about complexity, such as “Bohr’s complementarity”, Morin’s Complex thinking, and Cabrera’s DSRP theory, might allow the theorists to abandon the EITHER/OR logical operators and start thinking about BOTH/AND operators to seek reconciliation between reductionism and holism, which might lead them to a new “theory of everything”. Full article
(This article belongs to the Special Issue Theoretical Issues on Systems Science)
15 pages, 2118 KB  
Article
Hierarchical Scheduling of Complex Dynamic Supply Chain
by Lihua Hu and Tao Fan
Appl. Sci. 2023, 13(1), 75; https://doi.org/10.3390/app13010075 - 21 Dec 2022
Cited by 4 | Viewed by 2157
Abstract
Green manufacturing (especially the right production scale) and optimization of logistics transportation (especially logistics transportation to ensure economic benefits) have become challenging issues. This paper focuses on production planning and scheduling of dynamic supply chain via H control scheme. This paper considers [...] Read more.
Green manufacturing (especially the right production scale) and optimization of logistics transportation (especially logistics transportation to ensure economic benefits) have become challenging issues. This paper focuses on production planning and scheduling of dynamic supply chain via H control scheme. This paper considers the production scale control and resource scheduling optimization of complex dynamic supply chain under the impact of the COVID-19 pandemic.Firstly, the information of green manufacturing production is collected, and a new mathematical model of complex dynamic supply chain including multi-level distributor/retailer, multi-delay inventory and multi-lead time is established. Secondly, the optimal resource scheduling scheme is designed based on the principle of H cybernetics, which is called the hierarchical scheduling of complex dynamic supply chain in this paper. Finally, a numerical example shows the effectiveness and feasibility of the proposed scheme. Through this model, the production of manufacturers, the inventory of manufacturers and distributors, and the order quantity of distributors can be arranged in advance, which improves the robustness of the closed-loop dynamic supply chain. Full article
(This article belongs to the Section Green Sustainable Science and Technology)
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29 pages, 5065 KB  
Article
On Efficient Powder Manufacturing Using Process Control Methods and Cybernetics: A Background, Results and Policy Case Study
by Ejay Nsugbe
Powders 2022, 1(4), 273-301; https://doi.org/10.3390/powders1040019 - 16 Dec 2022
Cited by 1 | Viewed by 3340
Abstract
Powder manufacturing processes involve a systematic processing of particulate material towards forming a final product which needs to meet specific quality standards. A means towards ensuring that standards are met in a manufacturing plant is to apply self-regulating intelligent machinery that can take [...] Read more.
Powder manufacturing processes involve a systematic processing of particulate material towards forming a final product which needs to meet specific quality standards. A means towards ensuring that standards are met in a manufacturing plant is to apply self-regulating intelligent machinery that can take mitigatory actions in the presence of a process deviation or unsatisfactory process behavior. Given a case study of an open-loop batch powder agglomeration process, this work synthesizes the process of how a feedback element can be applied towards the powder manufacturing plant in order to allow for self-regulation and process optimization which, in turn, would increase process efficiency, minimize waste and ensure that the overall product quality meets production targets. Focusing on a proposed cybernetic loop with a feedback element, a vital component is the ability to measure key quality attributes of the powder mixture, which is crucial towards ensuring the control algorithm is able to implement the most reflective and appropriate control strategy on the powder process; thus, this work discusses heavily the sensing and associated signal processing component of the cybernetic loop. The results from the reviewed signal processing scenarios which comprised the in-process material spanned estimation accuracies of 3–10%, depending on the scenario that was considered. This paper also addresses the feared dystopian view of mass redundancy and job losses in the age of the introduction of enhanced automation technology within a manufacturing process, where it is distilled what kinds of knock-on effects can be expected as a result of the technology, in addition to means by which policy makers can contribute towards ensuring that the adaptation and transition process is as smooth as possible. Full article
(This article belongs to the Special Issue Feature Papers in Powders)
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12 pages, 3310 KB  
Article
Closed-Loop Microbial Fuel Cell Control System Designed for Online Monitoring of TOC Dynamic Characteristics in Public Swimming Pool
by Haishan Chen, Xiaoping Meng, Dianlei Liu, Wei Wang, Xiaodong Xing, Zhiyong Zhang and Chen Dong
Int. J. Environ. Res. Public Health 2022, 19(20), 13024; https://doi.org/10.3390/ijerph192013024 - 11 Oct 2022
Cited by 1 | Viewed by 2010
Abstract
Total organic carbon (TOC) in the water of public swimming pools (PSPs) must be monitored online for public health. In order to address the shortcomings of conventional microbial fuel cell biosensor (MFC-biosensor), an innovative biosensor with peculiar closed-loop structure was developed for online [...] Read more.
Total organic carbon (TOC) in the water of public swimming pools (PSPs) must be monitored online for public health. In order to address the shortcomings of conventional microbial fuel cell biosensor (MFC-biosensor), an innovative biosensor with peculiar closed-loop structure was developed for online monitoring of TOC in PSPs. Its design was based on experimental data, model identification, cybernetics, and digital and real-time simulation. The outcomes of the digital simulation demonstrated that the closed-loop MFC control system possesses the desired structure with a pair of dominant complex-conjugate closed-loop poles (−15.47 ± 7.73j), and the real-time simulation showed that its controller output signals can automatically and precisely track the variation in TOC concentration in PSP water with the desired dynamic response performances; for example, mean delay time was 0.06 h, rise time was 0.12 h, peak time was 0.18 h, maximum overshoot was 7.39%, settling time was 0.22 h, and best fit 0.98. The proposed principle and method of the closed-loop MFC-biosensor control system in the article can also be applied for online monitoring of other substances in water, such as heavy metal ions, chemical toxicants, and so forth, and lay a theoretical foundation for MFC-based online monitoring substances in an aquatic environment. Full article
(This article belongs to the Section Water Science and Technology)
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18 pages, 820 KB  
Communication
Problems with Abstract Observers and Advantages of a Model-Centric Cybernetics Paradigm
by Mick Ashby
Systems 2022, 10(3), 53; https://doi.org/10.3390/systems10030053 - 19 Apr 2022
Cited by 2 | Viewed by 4535
Abstract
Since 1974, when Heinz von Foerster made the distinction between “the cybernetics of observed systems” as first-order cybernetics (1oC) and “the cybernetics of observing systems” as second-order cybernetics (2oC), cybernetics has been dominated by this observer-centric paradigm that he claimed cannot be extended [...] Read more.
Since 1974, when Heinz von Foerster made the distinction between “the cybernetics of observed systems” as first-order cybernetics (1oC) and “the cybernetics of observing systems” as second-order cybernetics (2oC), cybernetics has been dominated by this observer-centric paradigm that he claimed cannot be extended meaningfully to a third order. Rather than attempting to extend his paradigm, we derive an alternative, model-centric cybernetics paradigm from the first principles of regulation, which naturally extends to three orders, where the third order is ethical regulation. We thus consider a type of regulator that requires a third model and a third observer: if the third model is a model of acceptable (ethical) situations, then a third observer is a necessary element of the system’s “conscience” that prevents any violations of the model of ethical situations. In this paradigm, the cybernetics of systems that are designed to exhibit ethical behaviour can be characterized as third-order cybernetics (3oC). By being able to extend the paradigm to include ethical systems, the model-centric paradigm brings clarity and utility that is not possible using the observer-centric paradigm and its under-specified (abstract) observers. Finally, new definitions for cybernetics are proposed that clearly differentiate between the science of cybernetics and the philosophy of cybernetics. Full article
(This article belongs to the Collection Collected papers from ISSS)
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16 pages, 484 KB  
Article
The Insertion of Economic Cybernetics Students on the Romanian Labor Market in the Context of Digital Economy and COVID-19 Pandemic
by Mihaela Simionescu
Mathematics 2022, 10(2), 222; https://doi.org/10.3390/math10020222 - 12 Jan 2022
Cited by 10 | Viewed by 2651
Abstract
The purpose of this paper is to provide evidence of the insertion of Romanian students of economic cybernetics on the labor market by connecting business environment expectations with the goals of a competitive digital economy. The research is organized around three hypotheses to [...] Read more.
The purpose of this paper is to provide evidence of the insertion of Romanian students of economic cybernetics on the labor market by connecting business environment expectations with the goals of a competitive digital economy. The research is organized around three hypotheses to address the issues of both non-employed and employed economic cybernetics students. A rank-ordered probit choice model was estimated to compute the probability that a certain skill requires improvement. The empirical results showed that the COVID-19 pandemic stimulated more cybernetics students to get a job in this period. Moreover, these students present the necessary level of digital skills to be employed, but other skills need improvement: skills of analysis and synthesis, adaptability in handling crisis situations and creativity. This research reveals the lack of working experience as the main cause for rejection after an interview and the students’ tendency to overestimate their salary. This study also identified barriers of the insertion on the labor market for these students with digital skills that were not the subject of previous studies. Moreover, the impact of the COVID-19 pandemic on their decision to get a job in this period is assessed and a few recommendations of skills improvements are provided. These results present practical implications for educational policies and the business environment in the context of achieving a competitive European digital economy. The limit of this research is given by the sample representativeness for cybernetics students only for Bucharest, but a future paper will ensure a representative sample at the national level. Full article
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29 pages, 8362 KB  
Article
Metacybernetics: Towards a General Theory of Higher Order Cybernetics
by Maurice Yolles
Systems 2021, 9(2), 34; https://doi.org/10.3390/systems9020034 - 11 May 2021
Cited by 21 | Viewed by 9831
Abstract
Metacybernetics refers to the higher cybernetic orders that arise in living system agencies. Agencies are complex, and for them to be viable and hence survive, they require both stability and uncertainty reduction. Metacybernetics is defined through a metasystem hierarchy, and is mostly known [...] Read more.
Metacybernetics refers to the higher cybernetic orders that arise in living system agencies. Agencies are complex, and for them to be viable and hence survive, they require both stability and uncertainty reduction. Metacybernetics is defined through a metasystem hierarchy, and is mostly known through 1st and 2nd order cybernetics. In this exploratory paper the purpose is to create a framework that can underpin metacybernetics and explain the relationship between different cybernetic orders. The framework is built on agency theory which has both substructural and superstructural dimensions. Substructure has an interest in stability, is concerned with the generation of higher cybernetic orders, and is serviced by horizontal recursion. Superstructure is concerned with uncertainty reduction by uncovering hidden material or regulatory relationships, and is serviced by vertical recursion. Philosophical aspects to the framework are discussed, making distinction between global rationality through critical realism, and local rationality that relates to different cybernetic orders that correspond to bounding paradigms like positivism and constructivism. Full article
(This article belongs to the Section Complex Systems and Cybernetics)
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35 pages, 2151 KB  
Concept Paper
Ethical Regulators and Super-Ethical Systems
by Mick Ashby
Systems 2020, 8(4), 53; https://doi.org/10.3390/systems8040053 - 9 Dec 2020
Cited by 13 | Viewed by 8327
Abstract
This paper combines the good regulator theorem with the law of requisite variety and seven other requisites that are necessary and sufficient for a cybernetic regulator to be effective and ethical. The ethical regulator theorem provides a basis for systematically evaluating and improving [...] Read more.
This paper combines the good regulator theorem with the law of requisite variety and seven other requisites that are necessary and sufficient for a cybernetic regulator to be effective and ethical. The ethical regulator theorem provides a basis for systematically evaluating and improving the adequacy of existing or proposed designs for systems that make decisions that can have ethical consequences; regardless of whether the regulators are humans, machines, cyberanthropic hybrids, organizations, or government institutions. The theorem is used to define an ethical design process that has potentially far-reaching implications for society. A six-level framework is proposed for classifying cybernetic and superintelligent systems, which highlights the existence of a possibility-space bifurcation in our future time-line. The implementation of “super-ethical” systems is identified as an urgent imperative for humanity to avoid the danger that superintelligent machines might lead to a technological dystopia. It is proposed to define third-order cybernetics as the cybernetics of ethical systems. Concrete actions, a grand challenge, and a vision of a super-ethical society are proposed to help steer the future of the human race and our wonderful planet towards a realistically achievable minimum viable cyberanthropic utopia. Full article
(This article belongs to the Collection Collected papers from ISSS)
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9 pages, 1243 KB  
Communication
Endo and Exoskeleton: New Technologies on Composite Materials
by Luca Fiorillo, Cesare D’Amico, Anna Yurjevna Turkina, Fabiana Nicita, Giulia Amoroso and Giacomo Risitano
Prosthesis 2020, 2(1), 1-9; https://doi.org/10.3390/prosthesis2010001 - 2 Jan 2020
Cited by 40 | Viewed by 6634
Abstract
The developments in the field of rehabilitation are proceeding hand in hand with those of cybernetics, with the result of obtaining increasingly performing prostheses and rehabilitations for patients. The purpose of this work is to make a brief exposition of new technologies regarding [...] Read more.
The developments in the field of rehabilitation are proceeding hand in hand with those of cybernetics, with the result of obtaining increasingly performing prostheses and rehabilitations for patients. The purpose of this work is to make a brief exposition of new technologies regarding composites materials that are used in the prosthetic and rehabilitative fields. Data collection took place on scientific databases, limited to a collection of data for the last five years, in order to present news on the innovative and actual materials. The results show that some of the most commonly used last materials are glass fibers and carbon fibers. Even in the robotics field, materials of this type are beginning to be used, thanks above all to the mechanical performances they offer. Surely these new materials, which offer characteristics similar to those in humans, could favor both the rehabilitation times of our patients, and also a better quality of life. Full article
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23 pages, 1679 KB  
Article
Mediality, Temporality, Social Cognition, and Evolution
by José Javier Blanco Rivero
Philosophies 2019, 4(3), 44; https://doi.org/10.3390/philosophies4030044 - 1 Aug 2019
Cited by 1 | Viewed by 6720
Abstract
In the literature of Media Studies, the word mediality has emerged as an expression of the concern about the specificity of media and their link to time, experience, technology and social change. However, mediality is not yet a concept, since the description of [...] Read more.
In the literature of Media Studies, the word mediality has emerged as an expression of the concern about the specificity of media and their link to time, experience, technology and social change. However, mediality is not yet a concept, since the description of the function of media as mediation and transmission has become an obstacle to achieve further developments. In light of these remarks, this paper proposes a theoretical arrangement that gives meaning to mediality by connecting the word into a network of concepts, such as social cognition, evolution, temporality, synchronization and double closure. In order to achieve this goal, the author designs a theoretical apparatus consisting of the self-referential coupling between N. Luhmann’s systems theory, H. von Foerster’s second order cybernetics, R. Harris’ integration linguistics, and A. Clark’s extended cognition. A consistent integration and interpretation of the sketched theory, allows us to draw the conclusion that in order to comprehend mediality, it is crucial to understand the relationship between information, double closure, social cognition and evolution, while questions regarding human cognition do not be to be involved; and if that should be the case, research should depart from the problem of the structural coupling between human and social cognition. Full article
(This article belongs to the Special Issue Philosophies of Time, Media and Contemporaneity)
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17 pages, 3761 KB  
Article
A New Method of the Pattern Storage and Recognition in Oscillatory Neural Networks Based on Resistive Switches
by Andrei Velichko, Maksim Belyaev, Vadim Putrolaynen and Petr Boriskov
Electronics 2018, 7(10), 266; https://doi.org/10.3390/electronics7100266 - 22 Oct 2018
Cited by 10 | Viewed by 4714
Abstract
Development of neuromorphic systems based on new nanoelectronics materials and devices is of immediate interest for solving the problems of cognitive technology and cybernetics. Computational modeling of two- and three-oscillator schemes with thermally coupled VO2-switches is used to demonstrate a novel [...] Read more.
Development of neuromorphic systems based on new nanoelectronics materials and devices is of immediate interest for solving the problems of cognitive technology and cybernetics. Computational modeling of two- and three-oscillator schemes with thermally coupled VO2-switches is used to demonstrate a novel method of pattern storage and recognition in an impulse oscillator neural network (ONN), based on the high-order synchronization effect. The method allows storage of many patterns, and their number depends on the number of synchronous states Ns. The modeling demonstrates attainment of Ns of several orders both for a three-oscillator scheme Ns ~ 650 and for a two-oscillator scheme Ns ~ 260. A number of regularities are obtained, in particular, an optimal strength of oscillator coupling is revealed when Ns has a maximum. Algorithms of vector storage, network training, and test vector recognition are suggested, where the parameter of synchronization effectiveness is used as a degree of match. It is shown that, to reduce the ambiguity of recognition, the number coordinated in each vector should be at least one unit less than the number of oscillators. The demonstrated results are of a general character, and they may be applied in ONNs with various mechanisms and oscillator coupling topology. Full article
(This article belongs to the Special Issue Nanoelectronic Materials, Devices and Modeling)
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21 pages, 2552 KB  
Article
Cyber Physical Energy Systems Modules for Power Sharing Controllers in Inverter Based Microgrids
by Carlos A. Macana, Ahmed F. Abdou, Hemanshu R. Pota, Josep M. Guerrero and Juan C. Vasquez
Inventions 2018, 3(3), 66; https://doi.org/10.3390/inventions3030066 - 11 Sep 2018
Cited by 8 | Viewed by 8242
Abstract
The Microgrids (MGs) are an effective way to deal with the smart grid challenges, including service continuity in the event of a grid interruption, and renewable energy integration. The MGs are compounded by multiple distributed generators (DGs), and the main control goals are [...] Read more.
The Microgrids (MGs) are an effective way to deal with the smart grid challenges, including service continuity in the event of a grid interruption, and renewable energy integration. The MGs are compounded by multiple distributed generators (DGs), and the main control goals are load demand sharing and voltage and frequency stability. Important research has been reported to cope with the implementation challenges of the MGs including the power sharing control problem, where the use of cybernetic components such as virtual components, and communication systems is a common characteristic. The use of these cybernetic components to control complex physical systems generates new modeling challenges in order to achieve an adequate balance between complexity and accuracy in the MG model. The standardization problem of the cyber-physical MG models is addressed in this work, using a cyber-physical energy systems (CPES) modeling methodology to build integrated modules, and define the communication architectures that each power sharing control strategy requires in an AC-MG. Based on these modules, the control designer can identify the signals and components that eventually require a time delay analysis, communication requirements evaluation, and cyber-attacks’ prevention strategies. Similarly, the modules of each strategy allow for analyzing the potential advantages and drawbacks of each power sharing control technique from a cyber physical perspective. Full article
(This article belongs to the Special Issue Microgrids 2018)
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3 pages, 316 KB  
Proceeding Paper
Approach to Ethical Issues Based on Fundamental Informatics: School Days with a Pig as a Clue
by Yohei Nishida and Tadashi Takenouchi
Proceedings 2017, 1(3), 195; https://doi.org/10.3390/IS4SI-2017-04039 - 9 Jun 2017
Cited by 1 | Viewed by 1649
Abstract
This paper explores the difference between companion animals and domestic livestock from the viewpoint of neo-cybernetical informatics, referring to an educational trial which was to raise a young pig for eating. The problem in this trial is based on an informatic difference between [...] Read more.
This paper explores the difference between companion animals and domestic livestock from the viewpoint of neo-cybernetical informatics, referring to an educational trial which was to raise a young pig for eating. The problem in this trial is based on an informatic difference between seeing a pig as a friend and as food in daily lives. Our behavior as being a communicational actor should be distinguished from just being a non-communicational sign interpreter because we can assume ethical norms as long as a communication system continuously operates. This argument can be a starting point for developing a new discussion on ethical issues, not in terms of the difference of intelligence or the importance of lives, but in terms of the possibility of construction of a communication system with us. Full article
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