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Scaling factors associated with M-furcations of the \(1-\mu | x| ^ z\) map

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Publication:1824266
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DOI10.1007/BF01023871zbMath0682.58033MaRDI QIDQ1824266

M. C. de Sousa Vieira

Publication date: 1988

Published in: Journal of Statistical Physics (Search for Journal in Brave)


zbMATH Keywords

chaosmultifractalityone-dimensional maps


Mathematics Subject Classification ID

Topological dynamics (37B99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)


Related Items (1)

Combination laws for scaling exponents and relation to the geometry of renormalization operators



Cites Work

  • Computer methods and Borel summability applied to Feigenbaum's equation
  • Period doubling in maps with a maximum of order
  • The transition to aperiodic behavior in turbulent systems
  • On finite limit sets for transformations on the unit interval
  • Universal metric properties of bifurcations of endomorphisms
  • Fractal measures and their singularities: The characterization of strange sets


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