Warenkorb
€ 0,00 0 Buch dabei,
portofrei
Dimension Theory for Ordinary Differential Equations als Buch
PORTO-
FREI

Dimension Theory for Ordinary Differential Equations

'Teubner-Texte zur Mathematik'. Softcover reprint of the original 1st ed. 2005. Book. Sprache: Englisch.
Buch (kartoniert)
Ihr 12%-Rabatt auf alle Spielwaren, Hörbücher, Filme, Musik u.v.m
 
12% Rabatt sichern mit Gutscheincode: KINDER12
 
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… weiterlesen
Buch

169,99*

inkl. MwSt.
Portofrei
Sofort lieferbar
Dimension Theory for Ordinary Differential Equations als Buch

Produktdetails

Titel: Dimension Theory for Ordinary Differential Equations
Autor/en: Vladimir A. Boichenko, Genadij A. Leonov, Volker Reitmann

ISBN: 3519004372
EAN: 9783519004370
'Teubner-Texte zur Mathematik'.
Softcover reprint of the original 1st ed. 2005.
Book.
Sprache: Englisch.
Vieweg+Teubner Verlag

8. Dezember 2005 - kartoniert - 448 Seiten

Beschreibung

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.

Inhaltsverzeichnis

Basic facts from matrix theory - Attractors, stability and Lyapunov functions - Introduction to dimension theory - Dimension and Lyapunov functions - Dimension estimates for invariant sets of vector fields on manifolds

Portrait

Dr. Vladimir A. Boichenko, Barrikada Company, St. Petersburg
Prof. Dr. Gennadij A. Leonov, St. Petersburg State University
Dr. Volker Reitmann, MPI for the Physics of Complex Systems, Dresden

Pressestimmen

"Concluding, one may say that the introductory parts of the book are suitable for graduate students, and in the advanced sections even experts in the field will certainly discover novelties."
Zentralblatt Mathematik, 20/2006
Servicehotline
089 - 70 80 99 47

Mo. - Fr. 8.00 - 20.00 Uhr
Sa. 10.00 - 20.00 Uhr
Filialhotline
089 - 30 75 75 75

Mo. - Sa. 9.00 - 20.00 Uhr
Bleiben Sie in Kontakt:
Sicher & bequem bezahlen:
akzeptierte Zahlungsarten: Überweisung, offene Rechnung,
Visa, Master Card, American Express, Paypal
Zustellung durch:
* Alle Preise verstehen sich inkl. der gesetzlichen MwSt. Informationen über den Versand und anfallende Versandkosten finden Sie hier.
** im Vergleich zum dargestellten Vergleichspreis.