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The central limit theorem and chaos

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Publication:846813
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DOI10.1007/s11766-009-1868-yzbMath1199.54195OpenAlexW2369499679MaRDI QIDQ846813

Yingxuan Niu

Publication date: 12 February 2010

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-009-1868-y


zbMATH Keywords

sensitive dependence on initial conditionsminimalequicontinuousthe central limit theoremtopologically ergodic


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)


Related Items

Strong sensitivity of systems satisfying the large deviations theorem ⋮ Central limit theorem and chaoticity ⋮ The central limit theorem and ergodicity



Cites Work

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  • Decay of correlation implies chaos in the sense of Devaney
  • Stochastic properties in Devaney's chaos
  • The large deviations theorem and ergodicity
  • On the nature of turbulence
  • On Devaney's Definition of Chaos
  • Period Three Implies Chaos
  • Chaotic dynamics of an integrate-and-fire circuit with periodic pulse-train input
  • Devaney's chaos or 2-scattering implies Li-Yorke's chaos
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