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Spectra of dimensions for Poincaré recurrences

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Publication:1864072
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DOI10.3934/dcds.2000.6.901zbMath1011.37009OpenAlexW2000779198MaRDI QIDQ1864072

Yanyan Li

Publication date: 16 March 2003

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2000.6.901


zbMATH Keywords

Lyapunov exponentsmultifractal analysisBowen equationCarathéodory construction


Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Entropy and other invariants (28D20) Dimension theory of smooth dynamical systems (37C45) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)


Related Items (5)

Local dimensions for Poincaré recurrences ⋮ SPECTRA OF RECURRENCE DIMENSION FOR ADIC SYSTEMS ⋮ Asymptotic synchronization of modified logistic hyper-chaotic systems and its applications ⋮ Local and global approaches to the problem of Poincaré recurrences. Applications in nonlinear dynamics ⋮ Aperiodic orbits of piecewise rational rotations of convex polygons with recursive tiling




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