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Journals and Conferences
We introduce in this paper the dynamics for Ishikawa iteration procedure. The geometry of Relative Superior Mandelbrot sets are explored for Ishikawa iterates.
We explore in this paper the dynamics of the complex function for non integer values, using the Ishikawa iterates. The z plane fractal images are studied for positive powers of the complex function while c plane fractals are analyzed for negative powers of the complex function.
We introduce in this paper the dynamics of Relative Superior Mandel-bar sets of inverse complex function for Ishikawa iteration. The z plane fractal images generated from the generalized transformation function 1 ( ) n z z c for 2 n are analyzed.
In this paper the dynamics of the complex logarithmic function is investigated using the Ishikawa iterates. The fractal images generated from the generalized transformation function log( ) n z z c , 2 n are analyzed.
We explore in this paper the dynamics of the inverse complex function using the Ishikawa iterates. The z plane fractal images generated from the generalized transformation function 1 ( ) n z z c 2 n are analyzed.
Complex graphics of dynamical system have been a subject of intense research nowadays. The fractal geometry is the base of these beautiful graphical images. Many researchers and authors have worked to study the complex nature of the two most popular sets in fractal geometry, the Julia set and the Mandelbrot set, and proposed their work in various forms… (More)
There were many harmonic and neutral current mitigation methods evolved earlier to address the power quality problem but each solution has its own limitation. A brief investigation is made into different neutral current compensation techniques available in literature and a detailed performance comparison of the techniques is made in this paper. The most… (More)
The generation of fractals and study of the dynamics of polynomials is one of the emerging and interesting field of research nowadays. We introduce in this paper the dynamics of polynomials z n z + c = 0 for n 2 and applied Jungck Ishikawa Iteration to generate new Relative Superior Mandelbrot sets and Relative Superior Julia sets. In order to solve this… (More)
These days Mandelbrot set with transcendental function is an interesting area for mathematicians. New equations have been created for Mandelbrot set using trigonometric, logarithmic and exponential functions. Earlier, Ishikawa iteration has been applied to these equations and generate new fractals named as Relative Superior Mandelbrot Set with… (More)
In a three phase four wire distribution system harmonics are injected due to nonlinear loads which results in poor performance of the equipments connected to the same utility. This paper considers some of the harmonic injecting loads and their effects on the utility is being discussed. From various literature survey this work utilises Zig-Zag transformer… (More)