Get Free Shipping on orders over $79
Attractor Dimension Estimates for Dynamical Systems: Theory and Computation : Dedicated to Gennady Leonov - Nikolay Kuznetsov

Attractor Dimension Estimates for Dynamical Systems: Theory and Computation

Dedicated to Gennady Leonov

By: Nikolay Kuznetsov, Volker Reitmann

Paperback | 3 July 2021

At a Glance

Paperback


$329.00

or 4 interest-free payments of $82.25 with

 or 

Ships in 5 to 7 business days

This book provides analytical and numerical methods for the estimation of dimension characteristics (Hausdorff, Fractal, Carath©odory 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 H©non 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.

Industry Reviews
"It is interesting and very well written. Mostly, chapters are self-contained and rich of detailed explanations. Many powerful computational tools and algorithms provide a solid numerical background for the study of attractor dimensions. ... this book contains advanced material on attractor dimension estimates for dynamical systems. This is definitely suitable for researchers in applied mathematics and computational theory of dynamical systems." (Mohammad Sajid, zbMATH 1483.37001, 2022)

More in Nonlinear Science

Smooth Dynamical Systems : Advanced Series in Nonlinear Dynamics - M. C. Irwin
Peyresq Lectures on Nonlinear Phenomena - Jacques-alexandre Sepulchre

RRP $291.99

$262.99

10%
OFF
Singular Elliptic Problems : Bifurcation & Asymptotic Analysis - Marius Ghergu
Optimization in Operations Research - Ronald L. Rardin

RRP $366.95

$340.75

Nonlinear Time Series Analysis with R - Ray Huffaker