On the Liouville phenomenon in estimates of fractal dimensions of forced quasi-periodic oscillations

DOI10.1134/S1063454119030038zbMath1429.37016OpenAlexW2972121226MaRDI QIDQ2282752

Mikhail Anikushin

Publication date: 19 December 2019

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454119030038

zbMATH Keywords

Diophantine approximationfractal dimensiondimension theoryquasi-periodic function

Mathematics Subject Classification ID

Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)

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Cites Work

• On commuting circle mappings and simultaneous Diophantine approximations
• The matrix-inequality method in the theory of the stability of nonlinear control systems. I: The absolute stability of forced vibrations
• Estimates of the Lyapunov dimension of attractors for generalized Rössler systems
• Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces
• Fractal dimensions of almost periodic attractors
• Dimension Theory Approach to the Complexity of Almost Periodic Trajectories
• On the Smith Reduction Theorem for Almost Periodic ODEs Satisfying the Squeezing Property
• Almost Periodic Flows and Solutions of Differential Equations
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