Gespeichert in:
| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2603.07713 |
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Inhaltsangabe:
- We introduce a notion of $\varepsilon$-chains for continuous-time semiflows inspired by the shadow-orbit property. Although this definition differs from the $(\varepsilon,T)$-chains introduced by Conley, we prove that, for semiflows with strong compact dynamics, the two notions generate the same chain-recurrent structure. In particular, they yield the same recurrent sets, nodes and graphs. The new definition fits naturally with semiflows arising from differential equations.