Numerical criterion for the duration of non-chaotic transients in ODEs

• Autorzy: Szczebiot Ryszard , Kaczyński Roman , Gołdyn Leszek

Identyfikatory

DOI

10.2478/ama-2022-0046

• Języki publikacji: EN

Abstrakty

EN

The paper proposes an original numerical criterion for the duration analysis of non-chaotic transients based on the Euclidean norm of a properly defined vector. For this purpose, transient trajectories, prior to their entering a small neighbourhood of the limit cycle, are used. The vector has been defined with its components constituting the lengths of the sections, which connect the origin of the coordinate system with appropriately determined transient trajectory points. The norm of the vector for the analysis of non-chaotic transients has also been applied. As an assessment criterion of transients, the convergence of the norm to small neighbourhood of the limit cycle with the assumed accuracy is used. The paper also provides examples of the application of this criterion to the Van der Pol oscillators in the case of periodic oscillations.

Słowa kluczowe

EN

numerical criterion; non-chaotic transients; limit cycle; ODEs systems; Van der Pol oscillator

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2022
• Tom: Vol. 16, no. 4
• Strony: 388--392
• Opis fizyczny: Bibliogr. 22 poz., rys., wykr.

Twórcy

autor

Szczebiot Ryszard

• Faculty of Computer Science and Technology, Lomza State University of Applied Sciences, ul. Akademicka 14, 18-400 Lomza, Poland

• https://orcid.org/0000-0002-9084-915X

autor

Kaczyński Roman

• Faculty of Mechanical Engineering, Bialystok University of Technology, ul. Wiejska 45C, 15-351 Bialystok, Poland

• https://orcid.org/0000-0001-5736-5367

autor

Gołdyn Leszek

• Faculty of Computer Science and Technology, Lomza State University of Applied Sciences, ul. Akademicka 14, 18-400 Lomza, Poland

• https://orcid.org/0000-0002-0689-8590

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).