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Modelling Dynamics in Processes and Systems pp 1–20Cite as

Modeling of Chaotic Systems in the ChaoPhS Program

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 180))

Abstract

Modeling of the chaos phenomena in the nonlinear dynamics requires application of more precise methods and simulatory tools than in cases of researches of linear systems. Researches on these phenomena, except cognitive values, has also importance in technical meaning. For obtaining the high quality parameters of output signals of practical systems it is necessary to control, and even eliminate chaotic behaviour. Practical simulatory programs, eg. Matlab not always realize high criteria concerning exactitude and speed of the simulation. In the paper we introduced a new simulatory program ChaoPhS (Chaotic Phenomena Simulations) to investigate chaotic phenomena in continuous and discreet systems, and also systems encountered in practice. Also we presented structure of the program and used numeric algorithms. The program was tested with utilization of well-known from the literature models of chaotic systems. Some selected results of researches chaotic phenomena which appear in simple power electronic systems are also presented.

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Author information

Authors and Affiliations

  1. Institute of Industrial Electrical Engineering, Poznan University of Technology, Piotrowo 3a, 61-138, Poznań, Poland

    Ryszard Porada & Norbert Mielczarek

Authors
  1. Ryszard Porada
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  2. Norbert Mielczarek
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Editors and Affiliations

  1. Faculty of Electrical Engineering, Automatics Computer Science and Electronics, AGH University of Science and Technology, Al.Mickiewicza 30, 30-059, Krakow, Poland

    Wojciech Mitkowski

  2. Systems Research Institute, Polish Academy of Sciences, ul.Newelska 6, 01-447, Warsaw, Poland

    Janusz Kacprzyk

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Porada, R., Mielczarek, N. (2009). Modeling of Chaotic Systems in the ChaoPhS Program. In: Mitkowski, W., Kacprzyk, J. (eds) Modelling Dynamics in Processes and Systems. Studies in Computational Intelligence, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92203-2_1

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  • DOI: https://doi.org/10.1007/978-3-540-92203-2_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-92202-5

  • Online ISBN: 978-3-540-92203-2

  • eBook Packages: EngineeringEngineering (R0)

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