Dense orbits on the interval

DOI10.1307/mmj/1029003477zbMath0655.58023OpenAlexW2033707415MaRDI QIDQ1109390

Joe Martin, Marcy M. Barge

Publication date: 1987

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029003477

zbMATH Keywords

homoclinic pointsdense orbitinverse limit spacesnake-like continuumiterated maps on the interval

Mathematics Subject Classification ID

Topological dynamics (37B99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Exploring the asymptotic average shadowing property ⋮ Topological entropy of compact subsystems of transitive real line maps ⋮ Topologically transitive and mixing properties of set-valued dynamical systems ⋮ Parametrized family of pseudo‐arc attractors: Physical measures and prime end rotations ⋮ On conjugacy of natural extensions of one-dimensional maps ⋮ Monotone decompositions of inverse limit spaces based on finite graphs ⋮ Dense Periodicity on the Interval ⋮ AN ALMOST EVERYWHERE VERSION OF SMÍTAL’S ORDER–CHAOS DICHOTOMY FOR INTERVAL MAPS ⋮ Basins of Wada ⋮ The construction of chaotic homeomorphisms on chainable continua ⋮ A Transitive Homeomorphism on the Pseudoarc which is Semiconjugate to the Tent Map ⋮ Erratum to ``Uniform convergence and chaotic behavior by Abu-Saris and K. Al-Hami. ⋮ Dynamics and indecomposable inverse limit spaces of maps on finite graphs ⋮ Unnamed Item ⋮ Some criteria for transitivity of semigroup actions ⋮ The Construction of Global Attractors ⋮ On the topological entropy of transitive maps of the interval ⋮ When lower entropy implies stronger Devaney chaos ⋮ Uniform convergence and transitive subsets ⋮ On homeomorphisms of \((I,f)\) having topological entropy zero ⋮ Dynamics of quasicontinuous systems ⋮ The Role of Continuity and Expansiveness on Leo and Periodic Specification Properties ⋮ Topological mixing, knot points and bounds of topological entropy