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Volker Reitmann
Attractor Dimension Estimates for Dynamical Systems: Theory and Computation
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3805566Attractor Dimension Estimates for Dynamical Systems: Theory and Computationhttps://www.gandhi.com.mx/attractor-dimension-estimates-for-dynamical-systems-theory-and-computation-9783030509873/phttps://gandhi.vtexassets.com/arquivos/ids/2566178/4bb652c1-5286-4680-bda5-84fc0edd62cf.jpg?v=63838414878970000040794532MXNSpringer International PublishingInStock/Ebooks/<p>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.</p>...3741356Attractor Dimension Estimates for Dynamical Systems: Theory and Computation40794532https://www.gandhi.com.mx/attractor-dimension-estimates-for-dynamical-systems-theory-and-computation-9783030509873/phttps://gandhi.vtexassets.com/arquivos/ids/2566178/4bb652c1-5286-4680-bda5-84fc0edd62cf.jpg?v=638384148789700000InStockMXN99999DIEbook20209783030509873_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_<p>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.</p>(*_*)9783030509873_<p>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.</p>...9783030509873_Springer International Publishinglibro_electonico_9291f682-c701-3719-a4df-7911bd387d68_9783030509873;9783030509873_9783030509873Volker ReitmannInglésMéxico2020-07-02T00:00:00+00:00Springer International Publishing