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Movement Characteristics of a Model with Circular Equilibrium

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Chaos and Complex Systems

Part of the book series: Springer Proceedings in Complexity ((SPCOM))

Abstract

In this paper, the dynamical behavior of the Gotthans-Petržela third-order autonomous model is researched. For this purpose, the 0-1 test for chaos and fast approximate entropy is newly applied. Using these tools, the dynamic is quantified and qualified. Depending on the system’s parameters, it is shown that irregular (chaotic) and regular (periodic) movement character appears.

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Acknowledgements

This work was supported by The Ministry of Education, Youth and Sports from the National Programme of Sustainability (NPU II) project “IT4Innovations excellence in science—LQ1602”; by The Ministry of Education, Youth and Sports from the Large Infrastructures for Research, Experimental Development and Innovations project “IT4Innovations National Supercomputing Center—LM2015070”; by the Technology Agency of the Czech Republic (by the projects TN01000007 “National Centre for Energy”, TK02030039 “Energy System for Grids”, and TJ02000157 “Optimization of the electrical distribution system operating parameters using artificial intelligence”); by SGC grant No. SP2019/125 “Qualification and quantification tools application to dynamical systems”, VŠB—Technical University of Ostrava, Czech Republic, Grant of SGS No. SP2019/84, VŠB—Technical University of Ostrava, Czech Republic.

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Authors and Affiliations

  1. IT4Innovations, VŠB—Technical University of Ostrava, 17. listopadu 2172/15, 708 33, Ostrava, Czech Republic

    Marek Lampart & Judita Nagyová

  2. Department of Applied Mathematics, VŠB—Technical University of Ostrava, 17. listopadu 2172/15, 708 33, Ostrava, Czech Republic

    Marek Lampart & Judita Nagyová

Authors
  1. Marek Lampart
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  2. Judita Nagyová
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Correspondence to Judita Nagyová .

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Editors and Affiliations

  1. School of Science and Technology, International Hellenic University, Thessaloniki, Greece

    Stavros G. Stavrinides

  2. Department of Physics, Istanbul Kultur University, Istanbul, Turkey

    Mehmet Ozer

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Lampart, M., Nagyová, J. (2020). Movement Characteristics of a Model with Circular Equilibrium. In: Stavrinides, S., Ozer, M. (eds) Chaos and Complex Systems. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-35441-1_5

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