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Statements

Subject Item
dbr:Kaplan–Yorke_conjecture
rdfs:label
Kaplan–Yorke conjecture
rdfs:comment
In applied mathematics, the Kaplan–Yorke conjecture concerns the dimension of an attractor, using Lyapunov exponents. By arranging the Lyapunov exponents in order from largest to smallest , let j be the largest index for which and Then the conjecture is that the dimension of the attractor is This idea is used for the definition of the Lyapunov dimension.
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dbc:Limit_sets dbc:Dimension dbc:Dynamical_systems dbc:Conjectures
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44357173
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1070601921
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dbc:Conjectures dbr:Hénon_map dbr:Dimension dbr:Fractal_dimension dbr:Attractor dbc:Dynamical_systems dbr:Lyapunov_dimension dbc:Dimension dbr:Hausdorff_dimension dbr:Lorenz_system dbr:Lyapunov_exponent dbc:Limit_sets
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In applied mathematics, the Kaplan–Yorke conjecture concerns the dimension of an attractor, using Lyapunov exponents. By arranging the Lyapunov exponents in order from largest to smallest , let j be the largest index for which and Then the conjecture is that the dimension of the attractor is This idea is used for the definition of the Lyapunov dimension.
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wikipedia-en:Kaplan–Yorke_conjecture