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STUDY OF URBANISTICAL COMPLEXITY ON TWO HUNGARIAN REGIONS Antal Ürmös, Ákos Nemcsics Research Group for Materials and Environmental Science, Óbuda University, Tavaszmező utca 17. H-1084 Budapest, Hungary s: IEEE 11 th International Symposium on Intelligent Systems and Informatics (SISY 2013), September 26-28, 2013, Subotica, Serbia

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Introduction In this work, we study and compare two Hungarian regions, from the viewpoint of complexity and self-assembly. In the nature, the components of certain disordered systems can be organized to ordered structure or a pattern on a spontaneous way. It is caused by one or more local specific interaction, without any external effects. This phenomenon is the self-assembly. It can be observed in many scientific fields (in the material science, in the chemistry, in the social sciences etc.).

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In the nature we can observe the complex behavior in many places, which are in most cases, appears in the form of the power function. The exponent of these power functions is the critical exponent. The similar behavior can be observed in the case of various phase transitions or in the interacting composite systems.

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Our motivation and our goal In this article, we study the phenomenon of the self-assembly, in the macroscopic level. If we represent the complex systems in a log-log diagram, then we get one or more straight line on the section, which are interesting for us. The topic of this presentation is to examine the phenomenon of self-assembly, in case of two different small Hungarian regions (Debrecen, Miskolc and their surroundings).

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Investigational preliminaries The all data are collected from some databases (i.e. Hungarian National Statistical Office) and by search engines (i.e. Google Search). The distances and node degrees (the number of the connected roads to the settlements) are measured by Google Maps (distances of motorway), and Gmap Pedometer (distances of bee line) and Google Maps Area Calculator Tool (when we could not find any areal information). These data are collected into a Microsoft Excel© worksheet, for further investigations.

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Discussion Among the results, we showed the population and area diagram of Debrecen (blue circle) and Miskolc (red triangles) and their surroundings can be seen. We can discover two-two linear sections in a log-log diagram, and we determined the all steepness of the straight lines, which are showed under the figures. These two central settlements are approximately the same. Debrecen is a center of a lowland area, while Miskolc is a center of an area, in North Central Mountains. The different steepness straight lines, represents the differing impacts of the center.

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The results Figure 1. The population diagram of Debrecen (blue circle) and Miskolc (red triangles) and their surroundings. The steepness of the straight lines in case of Debrecen are and , in case of Miskolc region are and Figure 2. The areal diagram of Debrecen (blue circle) and Miskolc (red triangles) and their surroundings. The steepness of the straight lines in case of Debrecen are and , in case of Miskolc region are and

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References [1]F. Dittes, Komplexität. Heidelberg: Springer Vieweg, [2]Mila Boncheva George M. Whitesides, "Beyond molecules: Self-assembly of mesoscopic and macroscopic components," in Proc Natl. Acad. Sci. USA April 16, vol. 99(8), 2002, pp. 4769–4774. [3]M. Schuszter, L. Dobos, Gy. Ballai Á. Nemcsics, "Morphological investigation of the electrochemically etched GaAs (001) surface," Mat. Sci. Eng. B 90 (2002) 67, vol. 90, pp , [4]Sz. Nagy, I. Mojzes, R. Schwedhelm, S. Woedtke, R. Adelung, L. Kipp Á. Nemcsics, "Investigation of the surface morphology on epitaxially grown fullerene structures," Vacuum, vol. 84, pp , [5]B. Varga, A. Ürmös, Sz. Nagy, and I. Mojzes, "Fractal properties of gold, palladium and gold-palladium thin films on InP," Vacuum (Elsevier), vol. 84, pp , [6]Á. Varga, Environment, and economic implications of the urban development, 2013, Bsc thesis (written in hungarian), Óbuda University. [7]A. Ürmös, Á. Nemcsics, "Urbanistical comparation of two Hungarian regions in the viewpoint of geomorphological influence,", Proc. of Conference of ELCAS, Nisyros-Greece (In Press), July, [8]Antal Ürmös, Ákos Nemcsics Ákos Varga, "Investigation of the Urbanistical Complexity in Global Scale," in 9th IEEE International Conference on Computational Cybernetics 2013 (ICCC 2013), Tihany, Hungary, July 8-10, 2013, pp [9]A. Ürmös, Á. Nemcsics Á. Varga, "URBANISTICAL RELATIONSHIP IN GLOBAL SCALE,", 3rd International Exergy, Life Cycle Assessment and Sustainability Workshop & Symposium (ELCAS-3), NISYROS – GREECE (In Press), July, [10]Jonathan P Hill, Michael V Lee, Ajayan Vinu, Richard Charvet, Somobrata Acharya Katsuhiko Ariga, "Challenges and breakthroughs in recent research on self-assembly," Sci. Technol. Adv. Mater, vol. 9, pp. 1-96, [11]J. A. Tenreiro Machado, Gonçalo Monteiro Duarte Fernando B. Duarte, "Dynamics of the Dow Jones and the NASDAQ stock indexes," Nonlinear Dynamics, vol. 61, no. 10, pp , September [12]António C. Costa, Miguel F. M. Lima J. A. Tenreiro Machado, "Dynamical analysis of compositions," Nonlinear Dynamics, vol. 65, no. 4, pp , April 2012.

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