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001431650 001__ 1431650
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001431650 020__ $$a9783030509873$$q(electronic bk.)
001431650 020__ $$a3030509877$$q(electronic bk.)
001431650 020__ $$z3030509869
001431650 020__ $$z9783030509866
001431650 0247_ $$a10.1007/978-3-030-50987-3.$$2doi
001431650 0248_ $$a10.1007/978-3-030-50
001431650 035__ $$aSP(OCoLC)1164582298
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001431650 049__ $$aISEA
001431650 050_4 $$aQA614.813
001431650 08204 $$a515/.39$$223
001431650 1001_ $$aKuznetsov, Nikolay.
001431650 24510 $$aAttractor dimension estimates for dynamical systems :$$btheory and computation : dedicated to Gennady Leonov /$$cNikolay Kuznetsov, Volker Reitmann.
001431650 260__ $$aCham :$$bSpringer,$$c[2021]
001431650 300__ $$a1 online resource
001431650 336__ $$atext$$btxt$$2rdacontent
001431650 337__ $$acomputer$$bc$$2rdamedia
001431650 338__ $$aonline resource$$bcr$$2rdacarrier
001431650 347__ $$atext file
001431650 347__ $$bPDF
001431650 4901_ $$aEmergence, complexity and computation,$$x2194-7287 ;$$vv. 38
001431650 504__ $$aIncludes bibliographical references and index.
001431650 5050_ $$aAttractors and Lyapunov Functions -- Singular Values, Exterior Calculus and Logarithmic Norms -- Introduction to Dimension Theory.
001431650 506__ $$aAccess limited to authorized users.
001431650 520__ $$aThis 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.
001431650 650_0 $$aAttractors (Mathematics)
001431650 650_6 $$aAttracteurs (Mathématiques)
001431650 655_7 $$aFestschriften.$$2fast$$0(OCoLC)fst01941036
001431650 655_7 $$aFestschriften.$$2lcgft
001431650 655_0 $$aElectronic books.
001431650 7001_ $$aReitmann, Volker,$$d1948-
001431650 77608 $$iPrint version:$$aKuznetsov, Nikolay.$$tAttractor dimension estimates for dynamical systems.$$dCham : Springer, [2021]$$z3030509869$$z9783030509866$$w(OCoLC)1155319193
001431650 830_0 $$aEmergence, complexity and computation ;$$v38.
001431650 852__ $$bebk
001431650 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-50987-3$$zOnline Access$$91397441.1
001431650 909CO $$ooai:library.usi.edu:1431650$$pGLOBAL_SET
001431650 980__ $$aBIB
001431650 980__ $$aEBOOK
001431650 982__ $$aEbook
001431650 983__ $$aOnline
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