Time-Varying Vector Fields and Their Flows

This short book provides a comprehensive and unified treatment of time-varying vector fields under a variety of regularity hypotheses, namely finitely differentiable, Lipschitz, smooth, holomorphic, and real analytic. The presentation of this material in the real analytic setting is new, as is the m...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Jafarpour, Saber (Autor), Lewis, Andrew D. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:SpringerBriefs in Mathematics,
Temas:
System theory.
Control theory.
Dynamical systems.
Topological groups.
Lie groups.
Systems Theory, Control .
Dynamical Systems.
Topological Groups and Lie Groups.
Acceso en línea:Texto Completo

MARC

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100 1 |a Jafarpour, Saber.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Time-Varying Vector Fields and Their Flows  |h [electronic resource] /  |c by Saber Jafarpour, Andrew D. Lewis. 
250 |a 1st ed. 2014. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2014. 
300 |a VIII, 119 p. 9 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a SpringerBriefs in Mathematics,  |x 2191-8201 
505 0 |a Introduction -- Fibre Metrics for Jet Bundles -- Finitely Differentiable, Lipschitz, and Smooth Topologies -- The COhol-topology for the Space of Holomorphic Vector Fields -- The Cw-topology for the Space of Real Analytic Vector Fields -- Time-Varying Vector Fields -- References. 
520 |a This short book provides a comprehensive and unified treatment of time-varying vector fields under a variety of regularity hypotheses, namely finitely differentiable, Lipschitz, smooth, holomorphic, and real analytic. The presentation of this material in the real analytic setting is new, as is the manner in which the various hypotheses are unified using functional analysis. Indeed, a major contribution of the book is the coherent development of locally convex topologies for the space of real analytic sections of a vector bundle, and the development of this in a manner that relates easily to classically known topologies in, for example, the finitely differentiable and smooth cases. The tools used in this development will be of use to researchers in the area of geometric functional analysis. 
650 0 |a System theory. 
650 0 |a Control theory. 
650 0 |a Dynamical systems. 
650 0 |a Topological groups. 
650 0 |a Lie groups. 
650 1 4 |a Systems Theory, Control . 
650 2 4 |a Dynamical Systems. 
650 2 4 |a Topological Groups and Lie Groups. 
700 1 |a Lewis, Andrew D.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319101408 
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830 0 |a SpringerBriefs in Mathematics,  |x 2191-8201 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-319-10139-2  |z Texto Completo 
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912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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