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Nonlinear dynamics, ISSN 0924-090X, 7/2012, Volume 69, Issue 1, pp. 185 - 192
.... It is necessary to study and control the Julia sets of the complex Henon map, since the complex variable Henon map depicts some complicated behaviors and Julia set is an important notion to describe these phenomena... 
Engineering | Vibration, Dynamical Systems, Control | Henon map | Mechanics | Automotive Engineering | Gradient control | Mechanical Engineering | Feedback control | Julia set | Technology | Engineering, Mechanical | Science & Technology | Weather | Analysis | Complex variables | Lorenz system | Climatology | Nonlinear dynamics | Convection modes | Control systems | Dynamical systems
Journal Article
Indian journal of physics, ISSN 0973-1458, 11/2012, Volume 87, Issue 3, pp. 271 - 274
.... Then the feedback control method is taken on Julia sets of this system. Synchronization of Julia sets is also studied by use of the periodic impulsive method... 
Physics, general | Feedback control | Astrophysics and Astroparticles | Synchronization | Julia set | Physics | Physics, Multidisciplinary | Physical Sciences | Science & Technology | Dynamical systems | Feedback control systems
Journal Article
Abstract and applied analysis, ISSN 1085-3375, 12/2014, Volume 2014, pp. 1 - 6
We mainly investigate the radial distribution of the Julia set of entire solutions to a special second order complex linear differential equation, one... 
Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Differential equations, Linear | Fuzzy sets | Set theory | Distribution (Probability theory) | Research | Mathematical research | Gene loci | Soil erosion
Journal Article
Optics express, ISSN 1094-4087, 04/2019, Volume 27, Issue 9, pp. 13263 - 13279
Polarization singularities have topological properties, because they can maintain their features invariably during propagation. The topological property can be... 
Optics | Physical Sciences | Science & Technology
Journal Article
Journal of applied meteorology and climatology, ISSN 1558-8424, 1/2016, Volume 55, Issue 1, pp. 79 - 92
.... This study elaborates on previous research by examining the impact of ice microphysics on the genesis of Hurricane Julia during the 2010 North Atlantic Ocean hurricane season... 
Vertical air currents | Storms | Clouds | Troposphere | Ice | Hurricanes | Microphysics | Convection | Convection clouds | Freezing | Ice particles | Cyclogenesis/cyclolysis | Tropical cyclones | Meteorology & Atmospheric Sciences | Physical Sciences | Science & Technology | Environmental aspects | Studies | Simulation | Meteorology | Disturbances | Genesis | Heat of fusion
Journal Article
Journal of the atmospheric sciences, ISSN 0022-4928, 2014, Volume 71, Issue 7, pp. 2763 - 2781
Journal Article
Optik (Stuttgart), ISSN 0030-4026, 05/2019, Volume 185, pp. 917 - 929
.... This paper proposes an image encryption scheme based on generalized Mandelbrot-Julia (M-J) set. The key space of the scheme is not only large, but also dynamically changeable... 
Image encryption | One-time keys | Generalized Mandelbrot-Julia set | Large key space
Journal Article
Complexity (New York, N.Y.), ISSN 1099-0526, 06/2019, Volume 2019, pp. 1 - 10
Journal Article
IEEE access, ISSN 2169-3536, 2020, Volume 8, pp. 175596 - 175601
.... Take the classical fractal set as an example, the anti-synchronization of the Julia set between two different generalized alternated systems is discussed using the adaptive control method in this article... 
Adaptive systems | Chaotic communication | Fractal | adaptive anti-synchronization | Fractals | Trajectory | Synchronization | Mathematical model | generalized alternated system | Computer Science, Information Systems | Engineering | Technology | Computer Science | Engineering, Electrical & Electronic | Telecommunications | Science & Technology | Control methods | Adaptive control | Synchronism
Journal Article
Proceedings of the Indian Academy of Sciences. Mathematical sciences, ISSN 0973-7685, 04/2019, Volume 129, Issue 3, pp. 1 - 8
... . It was known that in this case the Julia set $$J(f_\lambda )$$ J(fλ) of $$f_\lambda $$ fλ is a Cantor set of circles on which the dynamics of $$f_\lambda $$ fλ... 
Cantor circles | Secondary: 37F10 | connectivity | Herman ring | Julia sets | Primary: 37F45 | Mathematics, general | Mathematics | Physical Sciences | Science & Technology | Fuzzy sets | Set theory | Research | Mathematical research | Mappings (Mathematics) | Polynomials | Perturbation | Mathematical analysis | Rational functions
Journal Article
Asian journal of control, ISSN 1561-8625, 09/2017, Volume 19, Issue 5, pp. 1741 - 1747
.... The Julia set of the discrete version of the model is established. Then, the control of the Julia set is realized by combining the parameter perturbation control method and feedback control method. The box... 
fractal dimension | synchronization | forced Brusselator model | control | Julia set | Technology | Automation & Control Systems | Science & Technology | Control systems | Control engineering | College teachers | Analysis | Biomedical engineering | Fractals | Feedback control | Perturbation methods | Computer simulation | Synchronism
Journal Article
Journal of the atmospheric sciences, ISSN 0022-4928, 2013, Volume 70, Issue 12, pp. 3799 - 3817
.... In this study, the development of an LLV into Hurricane Julia (2010) is shown through a high-resolution model simulation with the finest grid size of 1 km... 
Meteorology & Atmospheric Sciences | Physical Sciences | Science & Technology | Environmental aspects | Waves | Tropical cyclones | Studies | Meteorological satellites | Moisture content | Atmosphere | Vortices | Storm damage | Wind shear | Meteorology
Journal Article
Discrete and continuous dynamical systems, ISSN 1078-0947, 09/2019, Volume 39, Issue 9, pp. 5185 - 5206
...) if lambda not equal 0 is small. It is proved that the Julia set J (f(lambda)) is either a quasicircle, a Cantor set of circles, a Sierpinski carpet or a degenerate Sierpinski carpet provided the free critical orbits of f(lambda... 
Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
International journal of bifurcation and chaos in applied sciences and engineering, 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 of the Julia set is presented by using feedback control... 
synchronization | the forced Brusselator model | Julia set | feedback control | Mathematics, Interdisciplinary Applications | Science & Technology - Other Topics | Physical Sciences | Multidisciplinary Sciences | Mathematics | Science & Technology | Feedback control | Computer simulation | Fractal models | Synchronism | Fractal analysis | Fractals | Joining | Mathematical models | Synchronization
Journal Article