Erhältlich:
Nicht auf Lager
Buch (Hardcover): Fachbuch
Attractor Dimension Estimates for Dynamical Systems: Theory and Computation
Dedicated to Gennady Leonov
Produkt bewerten
Verlag:
Springer Verlag Unsere-Artikel-Nr.: YEE5W66
EAN: 9783030509866
Erhältlich:
Nicht auf Lager
Zustellung: Do, 18.06.2026
Versand: Kostenlos
-11.9 %
CHF 261.–
CHF 230.–
Beschreibung
This book provides analytical and numerical methods for the estimation of dimension characteristics (Hausdorff, Fractal, Carathéodory dimensions) for attractors and invariant sets of dynamical systems and cocycles generated by smooth differential equations or maps in finite-dimensional Euclidean spaces or on manifolds. It also discusses stability investigations using estimates based on Lyapunov functions and adapted metrics. Moreover, it introduces various types of Lyapunov dimensions of dynamical systems with respect to an invariant set, based on local, global and uniform Lyapunov exponents, and derives analytical formulas for the Lyapunov dimension of the attractors of the Hénon and Lorenz systems. Lastly, the book presents estimates of the topological entropy for general dynamical systems in metric spaces and estimates of the topological dimension for orbit closures of almost periodic solutions to differential equations.
Spezifikationen
Sprache
- Englisch
Autor
- Nikolay Kuznetsov
- Volker Reitmann
Thema
- Forschung: Kybernetik & Systemtheorie
- Physik: Optische Physik
- Informatik: Theoretische Informatik
Kollektion
- Emergence, Complexity and Computation
Erscheinungsjahr
- 2020
Erscheinungsland
- Schweiz
Format
- Buch (Hardcover)
Anzahl Seiten
- 545