Search Results - "Machado, J Tenreiro"

Rare and extreme events: the case of COVID-19 pandemic by Machado, J. A. Tenreiro, Lopes, António M.

“…Complex systems have characteristics that give rise to the emergence of rare and extreme events. This paper addresses an example of such type of crisis, namely…”
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Fractional generalization of memristor and higher order elements by Tenreiro Machado, J.

“…► Application of fractional calculus to memristors. ► Generalization of memristor concepts towards complex orders. ► Nonlinear complex order dynamics. ► New…”
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The generalized Kudryashov method for nonlinear space–time fractional partial differential equations of Burgers type by Gaber, A. A., Aljohani, A. F., Ebaid, A., Machado, J. Tenreiro

“…The nonlinear space–time fractional differential equations (FDE) of Burgers’ type play an important role for describing many phenomena in applied sciences…”
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Nonlinear dynamics for local fractional Burgers’ equation arising in fractal flow by Yang, Xiao-Jun, Machado, J. A. Tenreiro, Hristov, Jordan

“…The local fractional Burgers’ equation (LFBE) is investigated from the point of view of local fractional conservation laws envisaging a nonlinear local…”
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Information analysis of the human DNA by Machado, J. Tenreiro

“…The structure of the deoxyribonucleic acid (DNA) is quantified using an algorithm that translates the chromosome data into a state-space plot. This scheme…”
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Design of fractional evolutionary processing for reactive power planning with FACTS devices by Muhammad, Yasir, Akhtar, Rizwan, Khan, Rahimdad, Ullah, Farman, Raja, Muhammad Asif Zahoor, Machado, J. A. Tenreiro

“…Reactive power dispatch is a vital problem in the operation, planning and control of power system for obtaining a fixed economic load expedition. An optimal…”
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Multidimensional scaling and visualization of patterns in distribution of nontrivial zeros of the zeta-function by Machado, J. Tenreiro, Luchko, Yuri

“…•Pattern visualization of the zeta-function zeros.•Multidimensional scaling analysis using Lorentzian metric.•Periodical patterns in the scope of Riemann…”
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Fractional control of heat diffusion systems by Jesus, Isabel S., Tenreiro Machado, J. A.

“…The concept of differentiation and integration to non-integer order has its origins in the seventeen century. However, only in the second-half of the twenty…”
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On a fractal LC-electric circuit modeled by local fractional calculus by Yang, Xiao-Jun, Machado, J. A. Tenreiro, Cattani, Carlo, Gao, Feng

“…•A fractal model of the LC-electric circuit is derived from local fractional calculus.•The relaxation oscillator in the fractal LC-electric circuit is…”
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Multidimensional scaling and visualization of patterns in prime numbers by Machado, J. Tenreiro, Lopes, António M.

“…•We explore prime numbers as objects in a complex systems.•The dissimilarity information between objects is measured by different metrics.•The data are…”
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Development of fractional order capacitors based on electrolyte processes by Jesus, Isabel S., Tenreiro Machado, J. A.

“…In recent years, significant research in the field of electrochemistry was developed. The performance of electrical devices, depending on the processes of the…”
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Optimal solution of the fractional order breast cancer competition model by Hassani, H., Machado, J. A. Tenreiro, Avazzadeh, Z., Safari, E., Mehrabi, S.

“…In this article, a fractional order breast cancer competition model (F-BCCM) under the Caputo fractional derivative is analyzed. A new set of basis functions,…”
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Entropy analysis of integer and fractional dynamical systems by Tenreiro Machado, J A

“…This paper investigates the adoption of entropy for analyzing the dynamics of a multiple independent particles system. Several entropy definitions and types of…”
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Numerical calculation of the left and right fractional derivatives by Machado, J. Tenreiro

“…The calculation of fractional derivatives is an important topic in scientific research. While formal definitions are clear from the mathematical point of view,…”
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Fractional order describing functions by Tenreiro Machado, J.

“…This paper addresses limit cycles and signal propagation in dynamical systems with backlash. The study follows the describing function (DF) method for…”
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A new fractional derivative involving the normalized sinc function without singular kernel by Yang, Xiao-Jun, Gao, Feng, Tenreiro Machado, J. A., Baleanu, Dumitru

“…In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find…”
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Bond graph and memristor approach to DNA analysis by Machado, J. Tenreiro

“…This paper proposes a mechanism for describing DNA information in a global perspective based on the bond graph and the memristor concepts. Present-day schemes…”
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An Entropy Formulation Based on the Generalized Liouville Fractional Derivative by Ferreira, Rui A. C., Tenreiro Machado, J.

“…This paper presents a new formula for the entropy of a distribution, that is conceived having in mind the Liouville fractional derivative. For illustrating the…”
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Dynamical analysis of the global business-cycle synchronization by Lopes, António M, Tenreiro Machado, J A, Huffstot, John S, Mata, Maria Eugénia

“…This paper reports the dynamical analysis of the business cycles of 12 (developed and developing) countries over the last 56 years by applying computational…”
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Entropy analysis of human death uncertainty by Tenreiro Machado, J. A., Lopes, António M.

“…Uncertainty about the time of death is part of one’s life, and plays an important role in demographic and actuarial sciences. Entropy is a measure useful for…”
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