國立虎尾科技大學 |

Admissibility and Hyperbolicity

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Admissibility and Hyperbolicity/ by Luís Barreira, Davor Dragičević, Claudia Valls.
Author:	Barreira, Luís.
other author:	Dragičević, Davor.
Description:	IX, 145 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Dynamics. -
Online resource:	https://doi.org/10.1007/978-3-319-90110-7
ISBN:	9783319901107

Admissibility and Hyperbolicity
Barreira, Luís.

Admissibility and Hyperbolicity[electronic resource] /by Luís Barreira, Davor Dragičević, Claudia Valls. - 1st ed. 2018. - IX, 145 p.online resource. - SpringerBriefs in Mathematics,2191-8198. - SpringerBriefs in Mathematics,.

1. Introduction -- 2. Exponential Contractions -- 3. Exponential Dichotomies: Discrete Time -- 4. Exponential Dichotomies: Continuous Time -- 5. Admissibility: Further Developments -- 6. Applications of Admissibility -- References -- Index.

This book gives a comprehensive overview of the relationship between admissibility and hyperbolicity. Essential theories and selected developments are discussed with highlights to applications. The dedicated readership includes researchers and graduate students specializing in differential equations and dynamical systems (with emphasis on hyperbolicity) who wish to have a broad view of the topic and working knowledge of its techniques. The book may also be used as a basis for appropriate graduate courses on hyperbolicity; the pointers and references given to further research will be particularly useful. The material is divided into three parts: the core of the theory, recent developments, and applications. The first part pragmatically covers the relation between admissibility and hyperbolicity, starting with the simpler case of exponential contractions. It also considers exponential dichotomies, both for discrete and continuous time, and establishes corresponding results building on the arguments for exponential contractions. The second part considers various extensions of the former results, including a general approach to the construction of admissible spaces and the study of nonuniform exponential behavior. Applications of the theory to the robustness of an exponential dichotomy, the characterization of hyperbolic sets in terms of admissibility, the relation between shadowing and structural stability, and the characterization of hyperbolicity in terms of Lyapunov sequences are given in the final part. .

ISBN: 9783319901107

Standard No.: 10.1007/978-3-319-90110-7doiSubjects--Topical Terms:

592238
Dynamics.

LC Class. No.: QA313

Dewey Class. No.: 515.39

Admissibility and Hyperbolicity
LDR:03149nam a22004095i 4500 001 993049
003 DE-He213
005 20200705045621.0
007 cr nn 008mamaa
008 201225s2018 gw | s |||| 0|eng d
020 $a 9783319901107 $9 978-3-319-90110-7
024 7 $a 10.1007/978-3-319-90110-7 $2 doi
035 $a 978-3-319-90110-7
050 4 $a QA313
072 7 $a PBWR $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBWR $2 thema
082 0 4 $a 515.39 $2 23
082 0 4 $a 515.48 $2 23
100 1 $a Barreira, Luís. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1284579
245 1 0 $a Admissibility and Hyperbolicity $h [electronic resource] / $c by Luís Barreira, Davor Dragičević, Claudia Valls.
250 $a 1st ed. 2018.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a IX, 145 p. $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 2191-8198
505 0 $a 1. Introduction -- 2. Exponential Contractions -- 3. Exponential Dichotomies: Discrete Time -- 4. Exponential Dichotomies: Continuous Time -- 5. Admissibility: Further Developments -- 6. Applications of Admissibility -- References -- Index.
520 $a This book gives a comprehensive overview of the relationship between admissibility and hyperbolicity. Essential theories and selected developments are discussed with highlights to applications. The dedicated readership includes researchers and graduate students specializing in differential equations and dynamical systems (with emphasis on hyperbolicity) who wish to have a broad view of the topic and working knowledge of its techniques. The book may also be used as a basis for appropriate graduate courses on hyperbolicity; the pointers and references given to further research will be particularly useful. The material is divided into three parts: the core of the theory, recent developments, and applications. The first part pragmatically covers the relation between admissibility and hyperbolicity, starting with the simpler case of exponential contractions. It also considers exponential dichotomies, both for discrete and continuous time, and establishes corresponding results building on the arguments for exponential contractions. The second part considers various extensions of the former results, including a general approach to the construction of admissible spaces and the study of nonuniform exponential behavior. Applications of the theory to the robustness of an exponential dichotomy, the characterization of hyperbolic sets in terms of admissibility, the relation between shadowing and structural stability, and the characterization of hyperbolicity in terms of Lyapunov sequences are given in the final part. .
650 0 $a Dynamics. $3 592238
650 0 $a Ergodic theory. $3 672355
650 0 $a Differential equations. $3 527664
650 0 $a Difference equations. $3 527665
650 0 $a Functional equations. $3 527838
650 1 4 $a Dynamical Systems and Ergodic Theory. $3 671353
650 2 4 $a Ordinary Differential Equations. $3 670854
650 2 4 $a Difference and Functional Equations. $3 672077
700 1 $a Dragičević, Davor. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1284580
700 1 $a Valls, Claudia. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 677315
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319901091
776 0 8 $i Printed edition: $z 9783319901114
830 0 $a SpringerBriefs in Mathematics, $x 2191-8198 $3 1255329
856 4 0 $u https://doi.org/10.1007/978-3-319-90110-7
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)