Determination of chaotic dynamic system’s paths

Authors

  • Александр Валентинович Садовой Dniprodzerzhynsk State Technical University Dniprobudivska str., 2, Kamyanske, Ukraine, 51918, Ukraine
  • Роман Сергійович Волянський Dniprodzerzhynsk State Technical University Dniprobudivska str., 2, Kamyanske, Ukraine, 51918, Ukraine https://orcid.org/0000-0001-5674-7646
  • Нина Викторовна Волянская Dniprodzerzhynsk State Technical University Dniprobudivska str., 2, Kamyanske, Ukraine, 51918, Ukraine

DOI:

https://doi.org/10.15587/2313-8416.2016.76921

Keywords:

interval model, chaotic dynamics, Chua's circuit, paths, loop current

Abstract

The analysis of development methods of Chua's circuit mathematical models is done and benefits of loop currents method are substantiated. The interval mathematical model of Chua's circuit is built and its limiting attractors are defined. It is shown that the interval models usage can simultaneously examine whole possible dynamic object’s paths in a previously chosen range. The results of mathematical modeling are given

Author Biographies

Александр Валентинович Садовой, Dniprodzerzhynsk State Technical University Dniprobudivska str., 2, Kamyanske, Ukraine, 51918

Doctor of Technical Science, Professor, vice rector

Роман Сергійович Волянський, Dniprodzerzhynsk State Technical University Dniprobudivska str., 2, Kamyanske, Ukraine, 51918

PhD, Associate Professor

Department of Electrotechnic and Electromechanic 

Нина Викторовна Волянская, Dniprodzerzhynsk State Technical University Dniprobudivska str., 2, Kamyanske, Ukraine, 51918

Senior lecturer

Department of power system 

References

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Published

2016-09-29

Issue

Section

Technical Sciences