Attractors and chain recurrence for semigroup of continuous maps

DOI10.21494/iste.op.2022.0812zbMath1526.37020MaRDI QIDQ6177214

Kushal Lalwani

Publication date: 31 August 2023

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

attractortransitivityomega limit setchain recurrent set

Mathematics Subject Classification ID

Continuous maps (54C05) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

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• Attractors and chain recurrence for semigroup actions
• On the concept of attractor
• On maps with dense orbits and the definition of chaos
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• Minimality, distality and equicontinuity for semigroup actions on compact Hausdorff spaces
• Recurrence in generalized semigroup
• Recurrence theorem for semigroup actions
• Attractors: Persistence, and Density of Their Basins
• Chain recurrence and attraction in non-compact spaces
• Noncompact Chain Recurrence and Attraction
• Quantitative recurrence for free semigroup actions

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