Encontrados 14 documentos, a visualizar página 1 de 2
Probability and statistics: selected problems
Machado, J. A. Tenreiro; Pinto, Carla M. A.Probability and Statistics—Selected Problems is a unique book for senior undergraduate and graduate students to fast review basic materials in Probability and Statistics. Descriptive statistics are presented first, and probability is reviewed secondly. Discrete and continuous distributions are presented. Sample and estimation with hypothesis testing are presented in the last two chapters. The solutions for prop...
Linear algebra: selected problems
Pinto, Carla M. A.; Machado, J. A. TenreiroLinear Algebra—Selected Problems is a unique book for senior undergraduate and graduate students to fast review basic materials in Linear Algebra. Vector spaces are presented first, and linear transformations are reviewed secondly. Matrices and Linear systems are presented. Determinants and Basic geometry are presented in the last two chapters. The solutions for proposed excises are listed for readers to refere...
Fractional dynamics and MDS visualization of earthquake phenomena
Lopes, António M.; Machado, J. A. Tenreiro; Pinto, Carla M. A.; Galhano, AlexandraThis 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 t...
Fractional model for malaria transmission under control strategies
Pinto, Carla M. A.; Machado, J. A. TenreiroWe 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 increas...
Power law and entropy analysis of catastrophic phenomena
Machado, J. A. Tenreiro; Pinto, Carla M. A.; Lopes, António M.Catastrophic events, such as wars and terrorist attacks, tornadoes and hurricanes, earthquakes, tsunamis, floods and landslides, are always accompanied by a large number of casualties. The size distribution of these casualties has separately been shown to follow approximate power law (PL) distributions. In this paper, we analyze the statistical distributions of the number of victims of catastrophic phenomena, i...
A review of power laws in real life phenomena
Pinto, Carla M. A.; Lopes, António M.; Machado, J. A. TenreiroPower law distributions, also known as heavy tail distributions, model distinct real life phenomena in the areas of biology, demography, computer science, economics, information theory, language, and astronomy, amongst others. In this paper, it is presented a review of the literature having in mind applications and possible explanations for the use of power laws in real phenomena. We also unravel some controver...
Complex-order forced van der Pol oscillator
Pinto, Carla M. A.; Machado, J. A. TenreiroIn this paper we consider a complex-order forced van der Pol oscillator. The complex derivative Dα1jβ, with α, β ∈ ℝ+, is a generalization of the concept of an integer derivative, where α = 1, β = 0. The Fourier transforms of the periodic solutions of the complex-order forced van der Pol oscillator are computed for various values of parameters such as frequency ω and amplitude b of the external forcing, the dam...
Complex order van der Pol oscillator
Pinto, Carla M. A.; Machado, J. A. TenreiroIn this paper a complex-order van der Pol oscillator is considered. The complex derivative Dα±ȷβ , with α,β∈R + is a generalization of the concept of integer derivative, where α=1, β=0. By applying the concept of complex derivative, we obtain a high-dimensional parameter space. Amplitude and period values of the periodic solutions of the two versions of the complex-order van der Pol oscillator are studied for v...
Complex order biped rhythms
Pinto, Carla M. A.; Machado, J. A. TenreiroAnimal locomotion is a complex process, involving the central pattern generators (neural networks, located in the spinal cord, that produce rhythmic patterns), the brainstem command systems, the steering and posture control systems and the top layer structures that decide which motor primitive is activated at a given time. Pinto and Golubitsky studied an integer CPG model for legs rhythms in bipeds. It is a fou...
A modular approach for trajectory generation in biped robots
Pinto, Carla M. A.; Rocha, Diana; Santos, Cristina; Matos, VítorRobot locomotion has been a major research issue in the last decades. In particular, humanoid robotics has had a major breakthrough. The motivation for this study is that bipedal locomotion is superior to wheeled approaches on real terrain and situations where robots accompany or replace humans. Some examples are, on the development of human assisting device, such as prosthetics, orthotics, and devices for reha...
| Financiadores do RCAAP | |||||||
|
|
|
|
|
|
||