On Shilnikov's scenario in 3D: Topological chaos for vectorfields of class $C^1$
Shilnikov's scenario in $\mathbb{R}^3$ means that the equation $x'=V(x)\in\mathbb{R}^3$ with $V(0)=0$ has a homoclinic solution and the eigenvalues of $DV(0)$ are $u>0$ and $\sigma\pm i\mu$ with $\sigma<0<\mu$ and $0<u+\sigma$. For $V$ once continuously differentiable we consider a flow which is equ...
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| Formato: | Artigo |
| Idioma: | Inglês |
| Publicado em: |
University of Szeged
2025-06-01
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| coleção: | Electronic Journal of Qualitative Theory of Differential Equations |
| Assuntos: | |
| Acesso em linha: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=11466 |
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