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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.05433 |
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| _version_ | 1866910322524160000 |
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| author | Pannipitiya, Diyath |
| author_facet | Pannipitiya, Diyath |
| contents | The goal of this paper is to discuss about the hyperbolicity of the non-wandering set $\mathcal{NW}(f_c)$ of real quadratic function $f_c(x)=x^2+c$ when $c\in (-\infty, -2]$. Even though the results we present here are not new, it is not easier to find the proofs of them. We present two different ways to prove the hyperbolicity of $\mathcal{NW}(f_c)$ for the``considerably difficult case'' of when $c$ is closer to $-2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_05433 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the hyperbolicity of the non-wandering sets of real quadratic maps Pannipitiya, Diyath Dynamical Systems The goal of this paper is to discuss about the hyperbolicity of the non-wandering set $\mathcal{NW}(f_c)$ of real quadratic function $f_c(x)=x^2+c$ when $c\in (-\infty, -2]$. Even though the results we present here are not new, it is not easier to find the proofs of them. We present two different ways to prove the hyperbolicity of $\mathcal{NW}(f_c)$ for the``considerably difficult case'' of when $c$ is closer to $-2$. |
| title | A note on the hyperbolicity of the non-wandering sets of real quadratic maps |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2402.05433 |