Renormalization in AC Circuits based on Fractal
R. Kamali1, G. Jayalalitha2
1R. Kamali, Research Scholar, Department of Mathematics, VELS Institute of Science, Technology and Advanced Studies, Chennai (Tamil Nadu), India.
2G. Jayalalitha, Professor, Department of Mathematics, VELS Institute of Science, Technology and Advanced Studies, Chennai (Tamil Nadu), India.
Manuscript received on 07 February 2019 | Revised Manuscript received on 29 March 2019 | Manuscript Published on 28 April 2019 | PP: 87-90 | Volume-7 Issue-5C February 2019 | Retrieval Number: E10220275C19/19©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this paper the Feynman infinite ladder AC circuits is analyzed by Renormalization method to form Fractal AC circuits, since operative of Renormalization gives the potentialities and interrelations of an infinite ladder. In particular, this analyzation is for the so-called Feynman Sierpinski ladder that exhibits the AC frequency response of Sierpinski Gasket networks. This extends the self-similarity resistance networks. There forms a Regular Set which is rectifiable and Line Graphs are also formed using adjacent edges of the AC circuits induces the connectedness and the continuous self-similarity throughout the circuit.
Keywords: Fractals, AC Circuits, Renormalization, Regular Set, Line Graphs, Rectifiable, Iteration.
Scope of the Article: Nanometer-Scale Integrated Circuits