Existence and Stability of 3-Cycles in Quadratic Maps
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866909996692799488 |
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| author | Comănescu, Dan |
| author_facet | Comănescu, Dan |
| contents | For a discrete dynamical system on $\R$ generated by a quadratic function, we show, using elementary computations, that the existence, number, and stability of 3-cycles are determined by a single parameter depending on the coefficients of the function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14736 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Existence and Stability of 3-Cycles in Quadratic Maps Comănescu, Dan Dynamical Systems 26A18, 39A22, 39A30, 37E05 For a discrete dynamical system on $\R$ generated by a quadratic function, we show, using elementary computations, that the existence, number, and stability of 3-cycles are determined by a single parameter depending on the coefficients of the function. |
| title | Existence and Stability of 3-Cycles in Quadratic Maps |
| topic | Dynamical Systems 26A18, 39A22, 39A30, 37E05 |
| url | https://arxiv.org/abs/2601.14736 |