Spectra of scaling indices for fractal measures: Theory and experiment

DOI10.1016/0167-2789(86)90117-XzbMath0614.58029OpenAlexW2070023106MaRDI QIDQ1819805

Thomas C. Halsey, Mogens H. Jensen

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90117-x

zbMATH Keywords

strange attractorsfractal dimensionperiod-doublingtransitions to chaosfractal measuresRayleigh-Bénard system

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Iteration of real functions in one variable (26A18)

Related Items (1)

Period doubling in maps with a maximum of order

Cites Work

• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• The infinite number of generalized dimensions of fractals and strange attractors
• Generalizations of the Hausdorff dimension of fractal measures.
• The universal metric properties of nonlinear transformations

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