Analysis of Natural and Artificial Phenomena Using Signal Processing and Fractional Calculus

In this paper we study several natural and man-made complex phenomena in the perspective of dynamical systems. For each class of phenomena, the system outputs are time-series records obtained in identical conditions. The time-series are viewed as manifestations of the system behavior and are processed for analyzing the system dynamics. First, we use the Fourier transform to process the data and we approximate the amplitude spectra by means of power law functions. We interpret the power law parameters as a phenomenological signature of the system dynamics. Second, we adopt the techniques of non-hierarchical clustering and multidimensional scaling to visualize hidden relationships between the complex phenomena. Third, we propose a vector field based analogy to interpret the patterns unveiled by the PL parameters.

Generalized convolution

The paper revisits the convolution operator and addresses its generalization in the perspective of fractional calculus. Two examples demonstrate the feasibility of the concept using analytical expressions and the inverse Fourier transform, for real and complex orders. Two approximate calculation schemes in the time domain are also tested.

Entropy analysis of DNA code dynamics in human chromosomes

Deoxyribonucleic acid, or DNA, is the most fundamental aspect of life but present day scientific knowledge has merely scratched the surface of the problem posed by its decoding. While experimental methods provide insightful clues, the adoption of analysis tools supported by the formalism of mathematics will lead to a systematic and solid build-up of knowledge. This paper studies human DNA from the perspective of system dynamics. By associating entropy and the Fourier transform, several global properties of the code are revealed. The fractional order characteristics emerge as a natural consequence of the information content. These properties constitute a small piece of scientific knowledge that will support further efforts towards the final aim of establishing a comprehensive theory of the phenomena involved in life.

Dynamical analysis of compositions

This paper analyzes musical opus from the point of view of two mathematical tools, namely the entropy and the multidimensional scaling (MDS). The Fourier analysis reveals a fractional dynamics, but the time rhythm variations are diluted along the spectrum. The combination of time-window entropy and MDS copes with the time characteristics and is well suited to treat a large volume of data. The experiments focus on a large number of compositions classified along three sets of musical styles, namely “Classical”, “Jazz”, and “Pop & Rock” compositions. Without lack of generality, the present study describes the application of the tools and the sets of musical compositions in a methodology leading to clear conclusions, but extensions to other possibilities are straightforward. The results reveal significant differences in the musical styles, demonstrating the feasibility of the proposed strategy and motivating further developments toward a dynamical analysis of musical compositions.

A data-mining-based methodology for transmission expansion planning

In recent decades, all over the world, competition in the electric power sector has deeply changed the way this sector’s agents play their roles. In most countries, electric process deregulation was conducted in stages, beginning with the clients of higher voltage levels and with larger electricity consumption, and later extended to all electrical consumers. The sector liberalization and the operation of competitive electricity markets were expected to lower prices and improve quality of service, leading to greater consumer satisfaction. Transmission and distribution remain noncompetitive business areas, due to the large infrastructure investments required. However, the industry has yet to clearly establish the best business model for transmission in a competitive environment. After generation, the electricity needs to be delivered to the electrical system nodes where demand requires it, taking into consideration transmission constraints and electrical losses. If the amount of power flowing through a certain line is close to or surpasses the safety limits, then cheap but distant generation might have to be replaced by more expensive closer generation to reduce the exceeded power flows. In a congested area, the optimal price of electricity rises to the marginal cost of the local generation or to the level needed to ration demand to the amount of available electricity. Even without congestion, some power will be lost in the transmission system through heat dissipation, so prices reflect that it is more expensive to supply electricity at the far end of a heavily loaded line than close to an electric power generation. Locational marginal pricing (LMP), resulting from bidding competition, represents electrical and economical values at nodes or in areas that may provide economical indicator signals to the market agents. This article proposes a data-mining-based methodology that helps characterize zonal prices in real power transmission networks. To test our methodology, we used an LMP database from the California Independent System Operator for 2009 to identify economical zones. (CAISO is a nonprofit public benefit corporation charged with operating the majority of California’s high-voltage wholesale power grid.) To group the buses into typical classes that represent a set of buses with the approximate LMP value, we used two-step and k-means clustering algorithms. By analyzing the various LMP components, our goal was to extract knowledge to support the ISO in investment and network-expansion planning.

On the DNA of eleven mammals

This paper studies the DNA code of eleven mammals from the perspective of fractional dynamics. The application of Fourier transform and power law trendlines leads to a categorical representation of species and chromosomes. The DNA information reveals long range memory characteristics.

Descentralização e Autonomia Local

A Administração Pública, em sentido orgânico ou subjectivo, pode ser definida como o conjunto de órgãos, serviços e agentes do Estados e demais pessoas colectivas públicas e seus funcionários, que asseguram, em nome da colectividade, a satisfação regular e contínua das necessidades colectivas de segurança, cultura, bem estar e progresso.

When Corporate Governance crosses the firm borders: family firms in local productive systems

The family involvement in firms is observable is most economies around the world, although there are significant differences among these countries, not only regarding its predominance in these economies, but also in what refers to the levels of involvement of the family in business. This research aims at understanding the family-based firms’ management when compared to non family based, with particular regards to the forms of corporate governance. This analysis is based on case studies and on secondary data found in the literature to support the findings from the empirical research. The data was collected via face to face in-depth interviews with entrepreneurs from the furniture and the events organisation industries (where the family is predominantly present in the furniture but not on the events organisation industry) and with industry and regional business associations. The case studies used in this research allowed the comparison between the Portuguese firms when the family plays an important role in business and those in which the family is absent. It has been found that there are important differences in businesses in countries/industries/local productive systems in which the family is seen as a dominant institution in the society (where businesses are based on strong ties; there is a harmonious relationship between the family members; and the family is accepted locally and dominates the firm organization) and on situations in which the family plays a more marginal role in the society. In fact, the family brings special characteristics to the business, in terms of management, corporate governance, inter and intra firm relationships and succession. Our findings confirm other empirical studies’ results found in the literature. Thus, this article provides a discussion on the factors that play a role in the form of corporate governance structure in family firms highlighting the pros and cons of organising the firm around the family.

Os modelos de governance nas nonprofit organizations de actuação local: uma revisão de literatura

O crescimento do sector não lucrativo, por força da criação de novas organizações sem fins lucrativos, tem-se acentuado nos últimos anos tentando dar resposta ao serviço público que a comunidade exige e que o Estado não tem sabido dar resposta. O sector não lucrativo, ou terceiro sector, realiza funções sociais ou culturais relevantes para a sociedade sem o objectivo de produzir lucros. Em Portugal não existem, para este sector, padrões específicos para os modelos de gestão nem tipologias de informação a utilizar pelos seus stakeholders e, por isso, utilizam-se os mesmos moldes do sector empresarial, cumprindo assim a real consistência do isomorfismo mimético. Existe claramente uma diferença entre os objectivos da informação financeira e não financeira nas organizações lucrativas e nas não lucrativas, e essa destrinça tem a ver directamente com os tipos de destinatários e utilizadores da informação. A abordagem às práticas de corporate governance é uma incontornável realidade no mundo organizacional actual face ao crescente aumento das preocupações das organizações enquanto agentes económicos, sociais e políticos. A sociedade exige às organizações não lucrativas transparência e accountability da informação financeira e não financeira (Carvalho & Blanco, 2007a)) e por isso a adopção de práticas de governance pode trazer benefícios na solução de alguns problemas de gestão. Esta investigação pretende, assim, fazer uma revisão de literatura sobre os modelos de governance, numa abordagem à gestão das organizações sem fins lucrativos de âmbito local, contribuindo assim para a possível definição de um modelo de governance próprio para o sector não lucrativo português.

Fractional dynamics and MDS visualization of earthquake phenomena

This paper analyses earthquake data in the perspective of dynamical systems and fractional calculus (FC). This new standpoint uses Multidimensional Scaling (MDS) as a powerful clustering and visualization tool. FC extends the concepts of integrals and derivatives to non-integer and complex orders. MDS is a technique that produces spatial or geometric representations of complex objects, such that those objects that are perceived to be similar in some sense are placed on the MDS maps forming clusters. In this study, over three million seismic occurrences, covering the period from January 1, 1904 up to March 14, 2012 are analysed. The events are characterized by their magnitude and spatiotemporal distributions and are divided into fifty groups, according to the Flinn–Engdahl (F–E) seismic regions of Earth. Several correlation indices are proposed to quantify the similarities among regions. MDS maps are proven as an intuitive and useful visual representation of the complex relationships that are present among seismic events, which may not be perceived on traditional geographic maps. Therefore, MDS constitutes a valid alternative to classic visualization tools for understanding the global behaviour of earthquakes.

Fractional model for malaria transmission under control strategies

We study a fractional model for malaria transmission under control strategies.Weconsider the integer order model proposed by Chiyaka et al. (2008) in [15] and modify it to become a fractional order model. We study numerically the model for variation of the values of the fractional derivative and of the parameter that models personal protection, b. From observation of the figures we conclude that as b is increased from 0 to 1 there is a corresponding decrease in the number of infectious humans and infectious mosquitoes, for all values of α. This means that this result is invariant for variation of fractional derivative, in the values tested. These results are in agreement with those obtained in Chiyaka et al.(2008) [15] for α = 1.0 and suggest that our fractional model is epidemiologically wellposed.

Bullying no local de trabalho: a perceção dos profissionais de uma Instituição de Ensino Superior Politécnico norte do país

Dissertação apresentada ao Instituto Politécnico do Porto para obtenção do Grau de Mestre em Gestão das Organizações, Ramo de Gestão de Empresas. Orientada por Prof. Doutor Manuel Salvador Gomes de Araújo

Distribution system operation supported by contextual energy resource management based on intelligent SCADA

Future distribution systems will have to deal with an intensive penetration of distributed energy resources ensuring reliable and secure operation according to the smart grid paradigm. SCADA (Supervisory Control and Data Acquisition) is an essential infrastructure for this evolution. This paper proposes a new conceptual design of an intelligent SCADA with a decentralized, flexible, and intelligent approach, adaptive to the context (context awareness). This SCADA model is used to support the energy resource management undertaken by a distribution network operator (DNO). Resource management considers all the involved costs, power flows, and electricity prices, allowing the use of network reconfiguration and load curtailment. Locational Marginal Prices (LMP) are evaluated and used in specific situations to apply Demand Response (DR) programs on a global or a local basis. The paper includes a case study using a 114 bus distribution network and load demand based on real data.

Observability of nonlinear fractional dynamical systems

We study the observability of linear and nonlinear fractional differential systems of order 0 < α < 1 by using the Mittag-Leffler matrix function and the application of Banach’s contraction mapping theorem. Several examples illustrate the concepts.