On the dimension of attractors for a class of dissipative systems

DOI10.1016/0021-8928(82)90101-0zbMath0526.58029OpenAlexW1986866863MaRDI QIDQ594454

A. N. Chetaev, Yulij S. Ilyashenko

Publication date: 1982

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(82)90101-0

zbMATH Keywords

global attractive setphase trajectorysteady state modesabsorbing sphereentropic dimensionestimate for Hausdorff dimensionlarge scale biological systemsmultidimensional problem of pursuit

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) General biology and biomathematics (92B05)

Related Items (2)

Lyapunov's direct method in the estimation of the Hausdorff dimension of attractors ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Negatively invariant sets of compact maps and an extension of a theorem of Cartwright
• Index of a singular point of a vector field, the Petrovskii-Oleinik inequality, and mixed Hodge structures
• Differential Topology

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