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Attractor dimension estimates for dy...

Kuznetsov, Nikolay.

Attractor dimension estimates for dynamical systemstheory and computation : dedicated to Gennady Leonov /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Attractor dimension estimates for dynamical systemsby Nikolay Kuznetsov, Volker Reitmann.
其他題名:	theory and computation : dedicated to Gennady Leonov /
作者:	Kuznetsov, Nikolay.
其他作者:	Reitmann, Volker.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	xix, 545 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Attractors (Mathematics)
電子資源:	https://doi.org/10.1007/978-3-030-50987-3
ISBN:	9783030509873$q(electronic bk.)

Attractor dimension estimates for dynamical systemstheory and computation : dedicated to Gennady Leonov /
Kuznetsov, Nikolay.

Attractor dimension estimates for dynamical systemstheory and computation : dedicated to Gennady Leonov /[electronic resource] :by Nikolay Kuznetsov, Volker Reitmann. - Cham :Springer International Publishing :2021. - xix, 545 p. :ill., digital ;24 cm. - Emergence, complexity and computation,v. 382194-7295 ;. - Emergence, complexity and computation ;v.5..

Attractors and Lyapunov Functions -- Singular Values, Exterior Calculus and Logarithmic Norms -- Introduction to Dimension Theory.

This book provides analytical and numerical methods for the estimation of dimension characteristics (Hausdorff, Fractal, Caratheodory 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 Henon 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.

ISBN: 9783030509873$q(electronic bk.)

Standard No.: 10.1007/978-3-030-50987-3doiSubjects--Topical Terms:

239620
Attractors (Mathematics)

LC Class. No.: QA614.813 / .K89 2021

Dewey Class. No.: 515.39

Attractor dimension estimates for dynamical systemstheory and computation : dedicated to Gennady Leonov /
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