A novel method of renormalization called Pacman renormalization allows us to study (unicritical) Siegel functions through Pacman-type functions. It has been used to investigate the Siegel parameters with combinatorial...A novel method of renormalization called Pacman renormalization allows us to study (unicritical) Siegel functions through Pacman-type functions. It has been used to investigate the Siegel parameters with combinatorially periodic rotation number in the main cardioid of the Mandelbrot set. It is already known that it can be defined a Pacman renormalization operator such that for Siegel pacmen, with combinatorially periodic rotation numbers, the operator is compact, analytic and has a unique fixed point, at which it is hyperbolic with one-dimensional unstable manifold. In this paper we observe that this Pacman renormalization operator is compact and analytic at any Siegel Pacman or Siegel map with combinatorially bounded rotation number. This allows us to define a renormalization operator on the hybrid classes of the standard Siegel pacmen to which we built its horseshoe where the operator is topologically semiconjugated to the left shift on the space of bi-infinite sequences of natural numbers bounded by some constant.展开更多
We present an immersed array of four rotors whose promoted flow can be mathematically modeled with a creeping flow solution from the incompressible Navier-Stokes equations. We show that this solution is indeed represe...We present an immersed array of four rotors whose promoted flow can be mathematically modeled with a creeping flow solution from the incompressible Navier-Stokes equations. We show that this solution is indeed representative of the two-dimensional experiment and validate such class of solution with experimental data obtained through the Particle Image Velocimetry technique and time-lapsed particles visualizations.展开更多
Spectroscopy in the UV-Vis and NIR ranges of light provides great convenience for the characterization and evaluation of the characteristics and optical modifications that occur during life, the processes for the prep...Spectroscopy in the UV-Vis and NIR ranges of light provides great convenience for the characterization and evaluation of the characteristics and optical modifications that occur during life, the processes for the preparation of some food in order to modify their characteristics or eliminate Micro-organisms that can affect their quality and shelf life, work is carried out at elevated temperatures, even above 100°C. The study has made it possible to identify changes in the Absorbance, Transmittance and Optical Intensity of Apis mellifera honey from four different botanical sources and States of the Mexican Republic: Citrus (Citrus) from the state of Veracruz, Mangle (Rizophora mangle) of the Pacific zone of the state of Sinaloa, Polyfloralis of the state of Morelos and Polyfloralis of the state of Tabasco.展开更多
We present a theoretical study on the effects of intense laser field(ILF)and static electric field on the linear and nonlinear optical properties of a cylindrical quantum dot with Rosen-Morse axial potential under the...We present a theoretical study on the effects of intense laser field(ILF)and static electric field on the linear and nonlinear optical properties of a cylindrical quantum dot with Rosen-Morse axial potential under the framework of effective mass and parabolic band approximations.This study also takes into account the effects of the structure parameters(η,V1,and R).The analytical expressions of the linear,third-order nonlinear and total optical absorption coefficients(TOACs)and the relative refractive index changes(RRICs)are obtained by using the compact-densitymatrix approach.The results of numerical calculations show that the resonant peak position of the TOACs and RRICs shifts towards lower energies and the magnitude of the peak increases with the effect of the static electric field and ILF.In addition,it is observed that while the resonant energies of the TOACs and RRICs of system shift towards the higher(lower)energies with the enhancement ofη,V1,they decrease with the augmentation of R.Thus,the findings of this study show that the optical properties of the structure can be adjusted by changing the magnitude of structure parameters and applied external fields.展开更多
文摘A novel method of renormalization called Pacman renormalization allows us to study (unicritical) Siegel functions through Pacman-type functions. It has been used to investigate the Siegel parameters with combinatorially periodic rotation number in the main cardioid of the Mandelbrot set. It is already known that it can be defined a Pacman renormalization operator such that for Siegel pacmen, with combinatorially periodic rotation numbers, the operator is compact, analytic and has a unique fixed point, at which it is hyperbolic with one-dimensional unstable manifold. In this paper we observe that this Pacman renormalization operator is compact and analytic at any Siegel Pacman or Siegel map with combinatorially bounded rotation number. This allows us to define a renormalization operator on the hybrid classes of the standard Siegel pacmen to which we built its horseshoe where the operator is topologically semiconjugated to the left shift on the space of bi-infinite sequences of natural numbers bounded by some constant.
文摘We present an immersed array of four rotors whose promoted flow can be mathematically modeled with a creeping flow solution from the incompressible Navier-Stokes equations. We show that this solution is indeed representative of the two-dimensional experiment and validate such class of solution with experimental data obtained through the Particle Image Velocimetry technique and time-lapsed particles visualizations.
文摘Spectroscopy in the UV-Vis and NIR ranges of light provides great convenience for the characterization and evaluation of the characteristics and optical modifications that occur during life, the processes for the preparation of some food in order to modify their characteristics or eliminate Micro-organisms that can affect their quality and shelf life, work is carried out at elevated temperatures, even above 100°C. The study has made it possible to identify changes in the Absorbance, Transmittance and Optical Intensity of Apis mellifera honey from four different botanical sources and States of the Mexican Republic: Citrus (Citrus) from the state of Veracruz, Mangle (Rizophora mangle) of the Pacific zone of the state of Sinaloa, Polyfloralis of the state of Morelos and Polyfloralis of the state of Tabasco.
基金Universidad de Medellín for hospitality and support during their 2019–2020 sabbatical stayMexican CONACYT through research Grant A1-S-8218。
文摘We present a theoretical study on the effects of intense laser field(ILF)and static electric field on the linear and nonlinear optical properties of a cylindrical quantum dot with Rosen-Morse axial potential under the framework of effective mass and parabolic band approximations.This study also takes into account the effects of the structure parameters(η,V1,and R).The analytical expressions of the linear,third-order nonlinear and total optical absorption coefficients(TOACs)and the relative refractive index changes(RRICs)are obtained by using the compact-densitymatrix approach.The results of numerical calculations show that the resonant peak position of the TOACs and RRICs shifts towards lower energies and the magnitude of the peak increases with the effect of the static electric field and ILF.In addition,it is observed that while the resonant energies of the TOACs and RRICs of system shift towards the higher(lower)energies with the enhancement ofη,V1,they decrease with the augmentation of R.Thus,the findings of this study show that the optical properties of the structure can be adjusted by changing the magnitude of structure parameters and applied external fields.
