An algebraic approach to chaos

DOI10.1007/BF00122688zbMath0866.58046OpenAlexW2078076400MaRDI QIDQ2563766

Susan B. Niefield

Publication date: 24 July 1997

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00122688

zbMATH Keywords

chaostopological transitivitylocalesperiodic pointsideals

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Ideals and multiplicative ideal theory in commutative rings (13A15) Preorders, orders, domains and lattices (viewed as categories) (18B35) Definitions and generalizations in theory of categories (18A05) Categorical structures (18D99)

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Cites Work

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• On the Definition of Chaos
• Adjoint Functors
• An extension of the Galois theory of Grothendieck
• Constructing locales from quantales
• On Devaney's Definition of Chaos