A closing lemma on the interval
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Publication:1135560
DOI10.1007/BF01408935zbMath0425.58016OpenAlexW1995640796WikidataQ124858496 ScholiaQ124858496MaRDI QIDQ1135560
Publication date: 1979
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142677
periodic pointsnonwandering pointsrecurrent pointsCr-closing lemma for endomorphisms of the intervallpiecewise monotonic maps of the interval
Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems with hyperbolic behavior (37D99)
Related Items (18)
A 𝐶¹ function for which the 𝜔-limit points are not contained in the closure of the periodic points ⋮ ω-LIMIT SETS CONTAINING AN INFINITE MINIMAL SET ⋮ Closing lemmas ⋮ Non-uniform hyperbolicity and existence of absolutely continuous invariant measures ⋮ \(C^r\)-closing lemma for partially hyperbolic diffeomorphisms with 1D-center bundle ⋮ Periodic and Limit Orbits and the Depth of the Center for Piecewise Monotone Interval Maps ⋮ Versions of the closing lemma for certain dynamical systems on tori ⋮ Isolated Chain Recurrent Points for One-Dimensional Maps ⋮ On Denjoy's theorem for endomorphisms ⋮ Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems: 1. The case of negative Schwarzian derivative ⋮ The structure of symmetric attractors ⋮ Relations Between Chain Recurrent Points and Turning Points on the Interval ⋮ Structures of quasi-graphs and $\omega $-limit sets of quasi-graph maps ⋮ Special \(\alpha \)-limit points and unilateral \(\gamma \)-limit points for graph maps ⋮ The structure of piecewise monotonic transformations ⋮ Non-wandering sets of the powers of maps of the interval ⋮ Scrambled sets and chain recurrence points of generic graph maps ⋮ Hyperbolicity, sinks and measure in one dimensional dynamics
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