- Tytuł:
- Numerical criterion for the duration of non-chaotic transients in ODEs
- Autorzy:
-
Szczebiot, Ryszard
Kaczyński, Roman
Gołdyn, Leszek - Powiązania:
- https://bibliotekanauki.pl/articles/2204683.pdf
- Data publikacji:
- 2022
- Wydawca:
- Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
- Tematy:
-
numerical criterion
non-chaotic transients
limit cycle
ODEs systems
Van der Pol oscillator - Opis:
- 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.
- Źródło:
-
Acta Mechanica et Automatica; 2022, 16, 4; 388--392
1898-4088
2300-5319 - Pojawia się w:
- Acta Mechanica et Automatica
- Dostawca treści:
- Biblioteka Nauki
Artykuł