Theory of hierarchical coupling |
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| Institution: | 1. Department of Physical Electronics, Symy State University 2, Rimskii-Korsakov St., 244007 Sumy, Ukraine;2. Department of Pure and Applied Mathematics, Chernigov Technological Institute, 95, Shevchenko St., 250027 Chernigov, Ukraine;1. University of Health Sciences, Istanbul Okmeydani Training and Research Hospital, Department of Medical Biochemistry, Istanbul, Turkey;2. University of Health Sciences, Istanbul Okmeydani Training and Research Hospital, Department of Pediatrics, Istanbul, Turkey;3. Hitit University, Erol Olçok Training and Research Hospital, Department of Medical Biochemistry, Çorum, Turkey;1. Department of Mechanical Engineering, Government College of Engineering, Tirunelveli, India;2. Department of Mechanical Engineering, Faculty of Engineering, Government College of Engineering, Tirunelveli, India;3. Department of Mechanical Engineering, Faculty of Engineering, V V College of Engineering, Tirunelveli, India |
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| Abstract: | A recursion relation between the intensity of hierarchical objects at neighbouring levels of a hierarchical tree, the strength of the coupling between them and the level distribution of nodes of the hierarchical tree are proposed. Regular (including Fibonacci), degenerate and irregular trees are considered. It is shown that the strength of hierarchical coupling is an exponentially, logarithmically or power law decreasing function of distance from a common ancestor, respectively. |
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