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Journal of Applied Meteorology and Climatology, ISSN 1558-8424, 1/2016, Volume 55, Issue 1, pp. 79 - 92
Journal Article
Optics express, ISSN 1094-4087, 04/2019, Volume 27, Issue 9, p. 13263
Polarization singularities have topological properties, because they can maintain their features invariably during propagation. The topological property can be... 
Journal Article
Journal of the Atmospheric Sciences, ISSN 0022-4928, 2014, Volume 71, Issue 7, pp. 2763 - 2781
In this study, the predictability of and parametric differences in the genesis of Hurricane Julia (2010) are investigated using 20 mesoscale ensemble forecasts... 
PRECIPITATION | PARAMETERIZATION | CONVECTION | TRANSFORM KALMAN FILTER | MODEL | METEOROLOGY & ATMOSPHERIC SCIENCES | TROPICAL CYCLOGENESIS | ATMOSPHERES | CRITICAL LAYER | Environmental aspects | Usage | Tropical cyclones | Data assimilation | Studies | Models | Meteorological satellites | Storms | Moisture content | Meteorology | Heating | Troposphere | Aids | Outflow | Genesis | Surface pressure | Hurricanes | Deposition
Journal Article
Optik, ISSN 0030-4026, 05/2019, Volume 185, pp. 917 - 929
With the rapid development of quantum computer, the encryption schemes in low key space are facing a huge security threat. The chaotic-based image encryption... 
Image encryption | One-time keys | Generalized Mandelbrot-Julia set | Large key space
Journal Article
Proceedings - Mathematical Sciences, ISSN 0253-4142, 6/2019, Volume 129, Issue 3, pp. 1 - 8
We consider a family of rational functions which is given by $$\begin{aligned} f_{\lambda }(z)=\frac{z^n(z^{2n}-\lambda ^{n+1})}{z^{2n}-\lambda ^{3n-1}},... 
Cantor circles | Secondary: 37F10 | connectivity | Herman ring | Julia sets | Primary: 37F45 | Mathematics, general | Mathematics | MATHEMATICS | DYNAMICS | FAMILY
Journal Article
Complexity, ISSN 1076-2787, 2019, Volume 2019, pp. 1 - 10
It is of crucial significance to study infectious disease phenomenon by using the discrete SIRS model with the Caputo deltas sense and fractal viewpoint. In... 
MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | Controllers | Dynamic tests | Infectious diseases | Computer simulation | Fractal analysis | Calculus | Fractal models | System theory
Journal Article
Asian Journal of Control, ISSN 1561-8625, 09/2017, Volume 19, Issue 5, pp. 1741 - 1747
This paper is concerned with the fractal dynamics of a reaction–diffusion system, – the forced Brusselator model. The Julia set of the discrete version of the... 
fractal dimension | synchronization | forced Brusselator model | control | Julia set | AUTOMATION & CONTROL SYSTEMS | Control systems | Control engineering | College teachers | Analysis | Biomedical engineering
Journal Article
Journal of the Atmospheric Sciences, ISSN 0022-4928, 2013, Volume 70, Issue 12, pp. 3799 - 3817
Journal Article
Chaos, Solitons and Fractals, ISSN 0960-0779, 2009, Volume 42, Issue 3, pp. 1738 - 1744
Control of generalized Julia sets generated from the discrete system and the continuous system is achieved by the auxiliary reference feedback control method... 
MANDELBROT | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | CANTORIAN SPACE-TIME
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 08/2015, Volume 25, Issue 9, p. 1550113
The forced Brusselator model is investigated from the fractal viewpoint. A Julia set of the discrete version of the Brusselator model is introduced and control... 
synchronization | the forced Brusselator model | Julia set | feedback control | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | Computer simulation | Fractal analysis | Synchronism | Fractals | Joining | Mathematical models | Feedback control | Synchronization
Journal Article
Science China Mathematics, ISSN 1674-7283, 9/2018, Volume 61, Issue 9, pp. 1637 - 1646
We give an alternative way to construct an entire function with quasiconformal surgery so that all its Fatou components are quasi-disks but the Julia set is... 
35J60 | quasiconformal surgery | 35J70 | non-locally connected Julia sets | entire functions | Mathematics | Applications of Mathematics | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 7/2012, Volume 69, Issue 1, pp. 185 - 192
In the complicated weather behavior, Lorenz system is an important model in the research of the convection processes in the atmosphere. The same basic... 
Engineering | Vibration, Dynamical Systems, Control | Henon map | Mechanics | Automotive Engineering | Gradient control | Mechanical Engineering | Feedback control | Julia set | CHAOS | MECHANICS | MAPS | MAPPINGS | C-2 | ENGINEERING, MECHANICAL | Weather | Analysis | Complex variables | Lorenz system | Climatology | Nonlinear dynamics | Convection modes | Control systems | Dynamical systems
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 05/2013, Volume 23, Issue 5, pp. 1350083 - 1350010
The dynamical and fractal behaviors of the complex perturbed rational maps $z_{n+1} = \frac{1}{2}(z_n + \frac{\lambda}{\smash{z}_n^q})$ are discussed in this... 
synchronization | Julia set | the optimal control function | CHAOS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | Maps | Infinity | Dynamics | Optimal control | Fractal analysis | Synchronism | Synchronization | Dynamical systems
Journal Article
05/2017
Scientia Sinica Mathematica, 2014, 44(6): 693-700 In this paper we mainly investigate the radial distribution of Julia set of derivatives of entire solutions... 
Mathematics - Complex Variables
Journal Article
Journal of the Atmospheric Sciences, ISSN 0022-4928, 09/2014, Volume 71, Issue 9, p. 3180
n this study, the predictability of tropical cyclogenesis (TCG) is explored by conducting ensemble sensitivity analyses on the TCG of Hurricane Julia (2010).... 
Usage | Tropical cyclones | Functions, Orthogonal | Analysis | Environmental aspects | Topographical drawing
Journal Article
JOURNAL OF THE ATMOSPHERIC SCIENCES, ISSN 0022-4928, 12/2013, Volume 70, Issue 12, pp. 3799 - 3817
While a robust theoretical framework for tropical cyclogenesis (TCG) within African easterly waves (AEWs) has recently been developed, little work explores the... 
CONVECTIVE PARAMETERIZATION | PREEXISTING TYPHOON | EXPLICIT FORECASTS | GLOBAL VIEW | TROPICAL CYCLONE FORMATION | ENERGY DISPERSION | RAPID INTENSIFICATION | FIELD EXPERIMENT | PART II | METEOROLOGY & ATMOSPHERIC SCIENCES | CRITICAL LAYER
Journal Article
Applied Mechanics and Materials, ISSN 1660-9336, 2013, Volume 347-350, pp. 3019 - 3023
  In this paper we use the same idea as the complex analytic dynamics to study general Mandelbrot sets and Julia sets generated from the complex non-analytic... 
General Mandelbrot set | Critical point | Julia set | Complex Non-analytic iteration
Journal Article
Journal of the Atmospheric Sciences, ISSN 0022-4928, 2014, Volume 71, Issue 9, pp. 3180 - 3201
Journal Article
Indian Journal of Physics, ISSN 0973-1458, 3/2013, Volume 87, Issue 3, pp. 271 - 274
The dynamical and fractal behaviors of a complex standard family $$z_{n+1}=z_n+\alpha+\beta\sin(z_n)$$ are discussed in this paper. Then the feedback control... 
Physics, general | Feedback control | Astrophysics and Astroparticles | Synchronization | Julia set | Physics | CHAOS | PHYSICS, MULTIDISCIPLINARY | COUPLED DUSTY PLASMAS | IONS | SYSTEMS | MAP | OSCILLATOR | Dynamical systems | Feedback control systems
Journal Article
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