An attraction result and an index theorem for continuous flows on $ℝ^n × [0,∞)$

• Autorzy: Klaudiusz Wójcik
• Języki publikacji: EN

Abstrakty

EN

We study the behavior of a continuous flow near a boundary. We prove that if φ is a flow on $E = ℝ^{n+1}$ for which $∂E = ℝ^n × {0}$ is an invariant set and S ⊂ ∂E is an isolated invariant set, with non-zero homological Conley index, then there exists an x in E\∂E such that either α(x) or ω(x) is in S. We also prove an index theorem for a flow on $ℝ^n × [0,∞)$.

Słowa kluczowe

EN

Conley index; fixed point index; permanence

Kategorie tematyczne

• 54H20: Topological dynamics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1996-1997
• Tom: 65
• Numer: 3
• Strony: 203-211

Daty

wydano

1997

otrzymano

1995-01-30

poprawiono

1995-05-06

Twórcy

autor

Klaudiusz Wójcik

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

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