An improved one-step amplitude–frequency relation for nonlinear oscillators
This paper proposes an amplitude–frequency relation which improves He’s simple, one-step, approach for approximating the frequency in the case of the cubic–quintic Duffing oscillator; the relation we apply is a weighted average amplitude–frequency relation.
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| Format: | Article |
| Language: | English |
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Elsevier
2023-11-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723008835 |
| _version_ | 1797615926452944896 |
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| author | Konstantinos Tsaltas |
| author_facet | Konstantinos Tsaltas |
| author_sort | Konstantinos Tsaltas |
| collection | DOAJ |
| description | This paper proposes an amplitude–frequency relation which improves He’s simple, one-step, approach for approximating the frequency in the case of the cubic–quintic Duffing oscillator; the relation we apply is a weighted average amplitude–frequency relation. |
| first_indexed | 2024-03-11T07:33:55Z |
| format | Article |
| id | doaj.art-69a28c431eb94b4ea9b894c079409d35 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-11T07:33:55Z |
| publishDate | 2023-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-69a28c431eb94b4ea9b894c079409d352023-11-17T05:26:30ZengElsevierResults in Physics2211-37972023-11-0154107090An improved one-step amplitude–frequency relation for nonlinear oscillatorsKonstantinos Tsaltas0University of Cyprus, Department of Mathematics and Statistics, Nicosia, CY-2109, CyprusThis paper proposes an amplitude–frequency relation which improves He’s simple, one-step, approach for approximating the frequency in the case of the cubic–quintic Duffing oscillator; the relation we apply is a weighted average amplitude–frequency relation.http://www.sciencedirect.com/science/article/pii/S2211379723008835Frequency formulationDuffing oscillatorNonlinear conservative oscillator |
| spellingShingle | Konstantinos Tsaltas An improved one-step amplitude–frequency relation for nonlinear oscillators Results in Physics Frequency formulation Duffing oscillator Nonlinear conservative oscillator |
| title | An improved one-step amplitude–frequency relation for nonlinear oscillators |
| title_full | An improved one-step amplitude–frequency relation for nonlinear oscillators |
| title_fullStr | An improved one-step amplitude–frequency relation for nonlinear oscillators |
| title_full_unstemmed | An improved one-step amplitude–frequency relation for nonlinear oscillators |
| title_short | An improved one-step amplitude–frequency relation for nonlinear oscillators |
| title_sort | improved one step amplitude frequency relation for nonlinear oscillators |
| topic | Frequency formulation Duffing oscillator Nonlinear conservative oscillator |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723008835 |
| work_keys_str_mv | AT konstantinostsaltas animprovedonestepamplitudefrequencyrelationfornonlinearoscillators AT konstantinostsaltas improvedonestepamplitudefrequencyrelationfornonlinearoscillators |