652 publications from this institution
Coutinho et al.'s experimental observation reveals that infected mice gain higher body weight. A theoretical analysis is given to explain the phenomenon, the result agrees remarkably well with Coutinho et al.'s experimental data (Acta Tropica 101, 2007, pp. 15–24).
A geometry condition for optimal two-strand yarn spinning was obtained. The results showed that by choosing suitable geometry parameters, the spinning process could be optimally matched.
No abstract is provided for this article.
The present work constitutes a guided tour through the mathematics needed for a proper understanding of homotopy perturbation method as applied to various nonlinear problems. It gives a new interpretation of the concept of constant expansion in the homotopy perturbation method.
The fractional complex transform is used to analytically deal with fractional differential equations. Two examples are given to elucidate the solution procedure, showing it is extremely accessible to nonmathematicians.
This paper presents a simple and direct proof of the dual optimization problem. The stationary conditions of the original and the dual problems are exactly equivalent, and the duality gap can be completely eliminated in the dual problem, where the maximal or minimal value is solved together with the stationary conditions of the dual problem and the original constraints. As an illustration, optimization of SiC/graphene composite is addressed with an objective of maximizing certain material properties under the constraint of a given strength.
How can we explain the thermal phenomenon by a fractal metasurface? This has been puzzling scientists and engineers for at least ten years, and so far no answer has been found. Now, modern mathematics offers a completely new window to physically understand the magical phenomenon that lies far beyond the Fourier law for heat conduction. A fractal-fractional modification of the Fourier law is elucidated, and its extremely high thermal conductivity is mathematically revealed. This article shows that thermal science is the key to nanotechnology.
E-Infinity theory predicts nine more elementary particles to be discovered in a standard model including the Higgs bosons. In addition a Higgs field is supposed to endow the particles with mass. This field must interact with the three nongravitational forces, i.e., the electromagnetic force, the weak force, and the strong force, therefore we could have four spin zero massive Higgs particles, namely two neutral ( H W ( 0 ) and H S ( 0 ) ) and two charged (H + and H −), all a part from the spin 2 massless graviton. Considering the possibility of fractional charge, we might have four additional quasi-particles (H +1/3, H −1/3, H +2/3 and H −2/3) similar to what we have in quantum fractional Hall effect. This makes nine possible particles all together without including any supermetric partners.
No abstract is provided for this article.
No abstract is provided for this article.
No abstract is provided for this article.
No abstract is provided for this article.
In this paper, we use the basic idea of the exp-function method to obtain an exact solution of a sea–air oscillator for the ENSO model. The effect of a nonlinear term on the properties of the El-Niño/Southern Oscillation is illustrated.
All known planets orbit the Sun so harmoniously that the entire Universe is believed to behave in a rhythmical and fractal way. Titius–Bode law is the main theoretical tool for planetary orbit description. Here we show that planetary sequence follows the Fibonacci-like prime sequence, and we introduce two gravitational spirals to predict orbits for solar members orbiting the Sun. Furthermore, we predict two hypothetical planets as far as 1500 AU and 2300 AU from the Sun, respectively, in our solar system, and some unknown planets in extrasolar planetary systems. Our planetary sequence demonstrates the possible frontier of our solar system, and the theory is also valid for other star systems and planetary systems, giving a simple way to finding the most possible adjacent unknown planets or moons near a known one. We anticipate our sequence can be more sophisticatedly used to search for unknown Universes and to depict the cosmos fully and exclusively, and we conclude that our whole Universe is of fractal property and all celestial bodies are distributed according to Fibonacci sequence.
A local fractional equation is established for fractal heat transfer in silk cocoon hierarchy, and the local fractional variational iteration method is adopted to solve the equation analytically. The result can well explain the intriguing phenomenon for pupa's survival at extremes of weather from negative 40 degrees to 50 degrees.
A theoretical model underlying a two-strand spinning system is given. Based on the force balance and dynamics characters of the system (mass conservation, energy conservation, and momentum conservation), this system of the equations governing the quasistatic two-strand yarn spinning is self-contained, so that the convergence point can be determined with ease for different inlet velocities, densities, sizes (diameters) of the two strands.
A modification of the homotopy perturbation method is proposed by taking advantage of the enhanced perturbation method and the parameter expanding technology. A generalized oscillatory equation and some nonlinear oscillators as the special cases of this equation are considered as examples to outline the basic properties of the modification, and the result is of high accuracy.
