Lyapunov functions in dimension estimates of attractors of dynamical systems

DOI10.1023/A:1021150327194zbMath1025.37014OpenAlexW2599983974MaRDI QIDQ1405610

Gennady Alekseevich Leonov

Publication date: 1 September 2003

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

Full work available at URL: https://doi.org/10.1023/a:1021150327194

zbMATH Keywords

attractorsLyapunov functionLorenz systemsHausdorff dimensionfractal dimensiontopological dimensionRössler systemLyapunov dimensionHénon system

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Attractors of solutions to ordinary differential equations (34D45) Dimension theory of smooth dynamical systems (37C45)

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