Lower bounds for the strict invariance entropy

DOI10.1088/0951-7715/24/7/001zbMath1217.93070OpenAlexW2084407998MaRDI QIDQ3021226

Christoph Kawan

Publication date: 22 July 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-11680

zbMATH Keywords

tangent bundledimension theory of dynamical systemsgeometric methodsstrict invariance entropytheory of escape rates

Mathematics Subject Classification ID

Geometric methods (93B27) Measures of information, entropy (94A17) Control/observation systems governed by ordinary differential equations (93C15) Ordinary differential equations and systems on manifolds (34C40)

Related Items (9)

Observation of nonlinear systems via finite capacity channels: constructive data rate limits ⋮ Topological complexity: entropy point, metric mean dimension in control systems ⋮ A note on topological feedback entropy and invariance entropy ⋮ Variational principles for topological invariance entropy of semigroup actions ⋮ Topological and invariance entropy for infinite-dimensional linear systems ⋮ Observation of nonlinear systems via finite capacity channels. II: Restoration entropy and its estimates ⋮ Metric invariance entropy and conditionally invariant measures ⋮ Entropy of controlled invariant subspaces ⋮ Invariance entropy for topological semigroup actions

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