Chaotic actions of topological semigroups

DOI10.1007/s00233-013-9517-4zbMath1339.37028OpenAlexW1965514364MaRDI QIDQ2447248

Sebastian Kerkhoff, Mike Behrisch, Friedrich Martin Schneider, Stefan Siegmund

Publication date: 25 April 2014

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-013-9517-4

zbMATH Keywords

chaosperiodicitytopological dynamicstopological semigroupsyndeticity

Mathematics Subject Classification ID

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

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Cites Work

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• Sensitivity and Devaney's chaos in uniform spaces
• Sensitivity and chaos of semigroup actions
• On maps with dense orbits and the definition of chaos
• A note on sensitivity of semigroup actions
• Hereditarily non-sensitive dynamical systems and linear representations
• On the definition of 'chaos'
• On Devaney's Definition of Chaos
• Sensitive dependence on initial conditions