This review paper focuses to ascertain a new approach in turbulence generation on the structure of premixed flames and external combustion using a fractal grid pattern. This review paper discusses the relationship between fractal pattern and turbulence flow. Many researchers have explored the fractal pattern as a new concept of turbulence generators, but researchers rarely study fractal turbule...

In this paper we study the properties of complex systems based on replicator dynamics. Vector field analysis is used to reveal new properties of the dynamical system. Spectral problem has been considered and Lyaponov function has been derived from the algebraic properties of the system under consideration. New mathematical model with multi-agent interaction is developed and general properties o...

Model-based diagnostic reasoning often leads to a large number of diagnostic hypotheses. The set of diagnoses can be reduced by taking into account extra observations (passive monitoring), measuring additional variables (probing) or executing additional tests (sequential diagnosis/test sequencing). In this paper we combine the above approaches with techniques from Automated Test Pattern Generat...

The irregularity has been very attractive to the antenna and packaging engineers. More specifically, the self-similarity has inspired many researchers to use them for broadband designs, due to the fact that a fractal antenna is a repeated shape in different scales, which can be interpreted as a multiscale (“multi-wavelength”) radiator. In addition to this, the space filling property seems to be...

The fractal interpolation theory was used to the research of road surface roughness, and its simulating method was proposed through the piecewise fractal model. The fractal interpolation model was established for the actual road surface roughness, its influential factors and their laws of influencing were also analyzed, and then the model accuracy was confirmed by the fractal parameters and the...

The transmission spectrum of fractal polyadic Cantor superlattice exhibits sharp peaks within forbidden frequency gaps. This property has been exploited by placing such self-similar multi-slab structure in the far field radiation region above a radiating element such as a patch antenna to maximize its directivity at the corresponding transmission peak. A patch antenna having directivity of 30 d...

Global dynamics of a compartmental model which describes virus propagation in vivo is studied using the direct Lyapunov method, where the incidence rate of the infection and the removal rate of the virus are assumed to be nonlinear. In the case where the functional quotient between the force of infection and the removal rate of the virus is a nonincreasing function of the virus concentration, t...

Magnetic vortices intermittently flow through preferred channels when they are forced in or out of a superconductor. We study this behavior using a cellular model, and find that the vortex flow can make braided rivers strikingly similar to aerial photographs of braided fluvial rivers, such as the Brahmaputra. By developing an analysis technique suitable for characterizing a selfaffine (multi)fr...