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Více informací o knize Dimension Theory for Ordinary Differential Equations

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Anotace knihy

The book is concerned with upper bounds for the Hausdorff and Fractal dimensions of flow invariant compact sets in Euclidean space and on Riemannian manifolds and the application of such bounds to global stability investigations of equilibrium points. The dimension estimates are formulated in terms of the eigenvalues of the symmetric part of the linearized vector field by including Lyapunov functions into the contraction conditions for outer Hausdorff measures. Various types of local, global and uniform Lyapunov exponents are introduced. On the base of such exponents the Lyapunov dimension of a set is defined and the Kaplan-Yorke formula is discussed. Upper estimates for the topological entropy are derived using Lyapunov functions and adapted Lozinskii norms.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Dimension Theory for Ordinary Differential Equations
• Autor: Volker Reitmann
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 443
• EAN: 9783519004370
• ISBN: 9783519004370
• ID: 06621290
• Nakladatelství: Springer Fachmedien Wiesbaden
• Hmotnost: 754 g
• Rozměry: 240 × 170 × 25 mm
• Datum vydání: 08. December 2005

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