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Fractal dimension related to devil's staircase for a family of piecewise linear mappings

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Publication:1082665
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DOI10.1016/0378-4371(84)90092-XzbMath0603.58010OpenAlexW1993884348MaRDI QIDQ1082665

B. George

Publication date: 1984

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(84)90092-x


zbMATH Keywords

fractal dimensioncomplete devil's staircase


Mathematics Subject Classification ID

Topological dynamics (37B99) Applications of dynamical systems (37N99) Length, area, volume, other geometric measure theory (28A75) Iteration of real functions in one variable (26A18)


Related Items (1)

Cantor set as a fractal and its application in detecting chaotic nature of piecewise linear maps




Cites Work

  • Unnamed Item
  • Devil's staircase in a one-dimensional mapping
  • Solitons and condensed matter physics. Proceedings of the symposium on nonlinear (soliton) structure and dynamics in condensed matter. Oxford, England, June 27-29, 1978




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