Sharkovsky's program for the classification of triangular maps is almost completed

DOI10.1016/J.NA.2010.04.075zbMath1193.37003OpenAlexW2036546024MaRDI QIDQ988814

Veronika Kornecká-Kurková

Publication date: 19 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.04.075

zbMATH Keywords

recurrencetopological entropyLi-Yorke chaosdistributional chaostriangular mapapproximation of trajectories

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40) Low-dimensional dynamical systems (37E99) Topological dynamics of nonautonomous systems (37B55) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (6)

Strange chaotic triangular maps ⋮ Embedding Toeplitz systems in triangular maps: the last but one problem of the Sharkovsky classification program ⋮ On a problem of iteration invariants for distributional chaos ⋮ On open problems concerning distributional chaos for triangular maps ⋮ Strong and weak distributional chaos ⋮ Local distributional chaos

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