Formula for the Lyapunov dimension for two connected mappings of a circle

DOI10.1007/s10958-013-1454-yzbMath1291.37052OpenAlexW2092602560MaRDI QIDQ376519

M. S. Poltinnikova

Publication date: 5 November 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1454-y

zbMATH Keywords

invariant setLyapunov dimension

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

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• On the determination of minimal global attractors for the Navier-Stokes and other partial differential equations
• Maximum local Lyapunov dimension bounds the box dimension of chaotic attractors