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Orbit types for maps of the interval

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Publication:3747384
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DOI10.1017/S0143385700003904zbMath0608.58029MaRDI QIDQ3747384

David Hart, Louis Stuart Block

Publication date: 1987

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)


zbMATH Keywords

periodic orbitorbit type


Mathematics Subject Classification ID

Topological dynamics (37B99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)


Related Items (2)

Forcing relation on patterns of invariant sets and reductions of interval maps ⋮ Maximal Entropy Odd Orbit Types



Cites Work

  • Generalizations of a theorem of Šarkovskii on orbits of continuous real-valued functions
  • A theorem of Sarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line
  • Stability of Periodic Orbits in the Theorem of Sarkovskii
  • Simple Periodic Orbits of Mappings of the Interval
  • Unnamed Item
  • Unnamed Item


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