X-minimal patterns and a generalization of Sharkovskiĭ's theorem

• Autorzy: Jozef Bobok , Milan Kuchta
• Języki publikacji: EN

Abstrakty

EN

We study the law of coexistence of different types of cycles for a continuous map of the interval. For this we introduce the notion of eccentricity of a pattern and characterize those patterns with a given eccentricity that are simplest from the point of view of the forcing relation. We call these patterns X-minimal. We obtain a generalization of Sharkovskiĭ's Theorem where the notion of period is replaced by the notion of eccentricity.

Słowa kluczowe

EN

iteration; periodic orbit; cycle; pattern; minimal; forcing relation; Sharkovskiĭ s theorem

Kategorie tematyczne

• 54H20: Topological dynamics
• 26A18: Iteration

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1998
• Tom: 156
• Numer: 1
• Strony: 33-66

Daty

wydano

1998

otrzymano

1996-10-24

poprawiono

1997-04-22

Twórcy

autor

Jozef Bobok

• KM FSv. ČVUT, Thákurova 7, 166 29 Praha 6, Czech Republic

autor

Milan Kuchta

• athematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovak Republic

Bibliografia

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