On stability of forcing relations for multidimensional perturbations of interval maps

• Autorzy: Ming-Chia Li , Piotr Zgliczyński
• Języki publikacji: EN

Abstrakty

EN

We show that all periods of periodic points forced by a pattern for interval maps are preserved for high-dimensional maps if the multidimensional perturbation is small. We also show that if an interval map has a fixed point associated with a homoclinic-like orbit then any small multidimensional perturbation has periodic points of all periods.

Kategorie tematyczne

• 37C25: Fixed points, periodic points, fixed-point index theory
• 37E15: Combinatorial dynamics (types of periodic orbits)
• 37B30: Index theory, Morse-Conley indices

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2009
• Tom: 206
• Numer: 1
• Strony: 241-251

Daty

wydano

2009

Twórcy

autor

Ming-Chia Li

• Department of Applied Mathematics, National Chiao Tung University, 1001 Ta Hsueh Road, Hsinchu 300, Taiwan

autor

Piotr Zgliczyński

• Institute of Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/fm206-0-13