Fractal dimension of quasi-periodic orbits

DOI10.1016/S0893-9659(01)00073-8zbMath0997.37008MaRDI QIDQ5950673

Pengjian Shang, K. Widder

Publication date: 2 January 2002

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

upper boundlower boundfractal dimensionHölder continuous functionsbox-counting dimensionsquasi-periodic orbitsreverse Hölder functions

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Dimension theory of smooth dynamical systems (37C45)

Related Items (2)

Fractal properties of de Rham-type curve associated to random walk ⋮ Do self-similar sets with positive Lebesgue measure contain an interval?

Cites Work

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• Infinite-dimensional dynamical systems in mechanics and physics
• Fractal dimensions of almost periodic attractors

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