Counterexamples to the open problem by Zhou and Feng on the minimal centre of attraction

DOI10.1088/0951-7715/25/5/1443zbMath1243.37003OpenAlexW1972274938WikidataQ124969182 ScholiaQ124969182MaRDI QIDQ2888618

Lenka Obadalová, Jaroslav Smítal

Publication date: 1 June 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/25/5/1443

zbMATH Keywords

topological dynamical systemsinvariant probability measures

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

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Recurrence of transitive points in dynamical systems with the specification property ⋮ Irregular recurrence in compact metric spaces ⋮ The life and mathematics of Jaroslav Smítal ⋮ Different asymptotic behavior versus same dynamical complexity: recurrence \& (ir)regularity

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