Continuous maps with the whole space being a scrambled set

DOI10.1007/BF02882567zbMath0930.37010OpenAlexW2054616079MaRDI QIDQ1375815

Jie Hua Mai

Publication date: 13 February 2000

Published in: Chinese Science Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02882567

zbMATH Keywords

Li-Yorke chaosscrambled set

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Iteration of real functions in one variable (26A18)

Related Items (6)

Devaney’s chaos implies existence of 𝑠-scrambled sets ⋮ Cardinalities of scrambled sets and positive scrambled sets ⋮ The construction of a completely scrambled system by graph covers ⋮ Chaotic sets of shift and weighted shift maps ⋮ Chaotic sets of continuous and discontinuous maps ⋮ Recent development of chaos theory in topological dynamics

Cites Work

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• Characterizations of Weakly Chaotic Maps of the Interval
• An analytic doubly-expansive self-homeomorphism of the openn-cube
• Period Three Implies Chaos

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