Asymmetric Duffing oscillator: the birth and build-up of period doubling
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909336699142144 |
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| author | Kyzioł, Jan Okniński, Andrzej |
| author_facet | Kyzioł, Jan Okniński, Andrzej |
| contents | In this work, we investigate the period doubling phenomenon in the periodically forced asymmetric Duffing oscillator. We use the known steady-state asymptotic solution -- the amplitude-frequency implicit function -- and known criterion for the existence of period doubling. Working in the framework of differential properties of implicit functions we derive analytical formulas for the birth of period-doubled solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_00830 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Asymmetric Duffing oscillator: the birth and build-up of period doubling Kyzioł, Jan Okniński, Andrzej Chaotic Dynamics 34C05, 34C25 In this work, we investigate the period doubling phenomenon in the periodically forced asymmetric Duffing oscillator. We use the known steady-state asymptotic solution -- the amplitude-frequency implicit function -- and known criterion for the existence of period doubling. Working in the framework of differential properties of implicit functions we derive analytical formulas for the birth of period-doubled solutions. |
| title | Asymmetric Duffing oscillator: the birth and build-up of period doubling |
| topic | Chaotic Dynamics 34C05, 34C25 |
| url | https://arxiv.org/abs/2312.00830 |