東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

FindBook

Google Book

Amazon

博客來

Lyapunov stability of transformation semigroups

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Lyapunov stability of transformation semigroups/ by Victor H. L. Rocha, Josiney A. Souza.
作者:	Rocha, Victor H. L.
其他作者:	Souza, Josiney A.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xviii, 228 p. :ill., digital ;24 cm.
內容註:	Preface -- Introduction -- Semigroup actions -- Attraction and Lyapunov stability -- Orbital maps -- Lyapunov stability on fiber bundles -- Fenichel's uniformity lemma -- Stability and controllability -- Higher stability and generalized recurrence -- Fiber bundles -- References -- Index.
Contained By:	Springer Nature eBook
標題:	Lyapunov stability. -
電子資源:	https://doi.org/10.1007/978-3-031-85761-4
ISBN:	9783031857614

Lyapunov stability of transformation semigroups
Rocha, Victor H. L.

Lyapunov stability of transformation semigroups[electronic resource] /by Victor H. L. Rocha, Josiney A. Souza. - Cham :Springer Nature Switzerland :2025. - xviii, 228 p. :ill., digital ;24 cm. - Latin American mathematics series,2524-6763. - Latin American mathematics series..

Preface -- Introduction -- Semigroup actions -- Attraction and Lyapunov stability -- Orbital maps -- Lyapunov stability on fiber bundles -- Fenichel's uniformity lemma -- Stability and controllability -- Higher stability and generalized recurrence -- Fiber bundles -- References -- Index.

This book presents recent research results on Lyapunov stability and attraction for semigroup actions in a pedagogical format, providing the reader with numerous modern ideas and mathematical formulations for dynamical concepts in the transformation group theory. In recent decades, many fundamental concepts of dynamical systems have been extended to the general framework of transformation semigroups. Limit sets, attractors, isolated invariant sets, prolongational limit sets, and stable sets now have semigroup theoretical analogues. This monograph consolidates recent advancements in this field in a way that makes it accessible to graduate students. An effort was made to relate the presented results to important recurrence notions, for contextual clarity. A rudimentary understanding of group theory and topology, including the concepts of semigroup action, orbit, fiber bundle, compactness, and connectedness, is a prerequisite for reading this text. As a valuable resource for research projects and academic dissertations on topological dynamics, geometry, and mathematical analysis, this work can potentially open new avenues for further research.

ISBN: 9783031857614

Standard No.: 10.1007/978-3-031-85761-4doiSubjects--Topical Terms:

705168
Lyapunov stability.

LC Class. No.: QA871

Dewey Class. No.: 515.392

Lyapunov stability of transformation semigroups
LDR:02496nmm a2200337 a 4500 001 2410380
003 DE-He213
005 20250410133634.0
006 m d
007 cr nn 008maaau
008 260204s2025 sz s 0 eng d
020 $a 9783031857614 $q (electronic bk.)
020 $a 9783031857607 $q (paper)
024 7 $a 10.1007/978-3-031-85761-4 $2 doi
035 $a 978-3-031-85761-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA871
072 7 $a GPFC $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a GPFC $2 thema
082 0 4 $a 515.392 $2 23
090 $a QA871 $b .R672 2025
100 1 $a Rocha, Victor H. L. $3 3784236
245 1 0 $a Lyapunov stability of transformation semigroups $h [electronic resource] / $c by Victor H. L. Rocha, Josiney A. Souza.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
300 $a xviii, 228 p. : $b ill., digital ; $c 24 cm.
490 1 $a Latin American mathematics series, $x 2524-6763
505 0 $a Preface -- Introduction -- Semigroup actions -- Attraction and Lyapunov stability -- Orbital maps -- Lyapunov stability on fiber bundles -- Fenichel's uniformity lemma -- Stability and controllability -- Higher stability and generalized recurrence -- Fiber bundles -- References -- Index.
520 $a This book presents recent research results on Lyapunov stability and attraction for semigroup actions in a pedagogical format, providing the reader with numerous modern ideas and mathematical formulations for dynamical concepts in the transformation group theory. In recent decades, many fundamental concepts of dynamical systems have been extended to the general framework of transformation semigroups. Limit sets, attractors, isolated invariant sets, prolongational limit sets, and stable sets now have semigroup theoretical analogues. This monograph consolidates recent advancements in this field in a way that makes it accessible to graduate students. An effort was made to relate the presented results to important recurrence notions, for contextual clarity. A rudimentary understanding of group theory and topology, including the concepts of semigroup action, orbit, fiber bundle, compactness, and connectedness, is a prerequisite for reading this text. As a valuable resource for research projects and academic dissertations on topological dynamics, geometry, and mathematical analysis, this work can potentially open new avenues for further research.
650 0 $a Lyapunov stability. $3 705168
650 0 $a Semigroups. $3 609931
650 0 $a Transformation groups. $3 664493
650 1 4 $a Dynamical Systems. $3 3538746
650 2 4 $a Systems Theory, Control. $3 893834
700 1 $a Souza, Josiney A. $3 3784237
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Latin American mathematics series. $3 3491620
856 4 0 $u https://doi.org/10.1007/978-3-031-85761-4
950 $a Mathematics and Statistics (SpringerNature-11649)