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

Discrete weak KAM theory = an introd...

Zavidovique, Maxime.

FindBook

Google Book

Amazon

博客來

Discrete weak KAM theory = an introduction through examples and its applications to twist maps /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Discrete weak KAM theory/ by Maxime Zavidovique.
其他題名:	an introduction through examples and its applications to twist maps /
作者:	Zavidovique, Maxime.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xv, 188 p. :ill., digital ;24 cm.
內容註:	Chapter 1. Introduction. - Chapter 2. The discrete weak KAM setting -- Chapter 3. Characterizations of the Aubry sets -- Chapter 4. Mather measures, discounted semigroups -- Chapter 5. A family of examples -- Chapter 6. Twist maps.
Contained By:	Springer Nature eBook
標題:	Kolmogorov-Arnold-Moser theory. -
電子資源:	https://doi.org/10.1007/978-3-031-96809-9
ISBN:	9783031968099

Discrete weak KAM theory = an introduction through examples and its applications to twist maps /
Zavidovique, Maxime.

Discrete weak KAM theoryan introduction through examples and its applications to twist maps /[electronic resource] :by Maxime Zavidovique. - Cham :Springer Nature Switzerland :2025. - xv, 188 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v. 23771617-9692 ;. - Lecture notes in mathematics ;v. 2377..

Chapter 1. Introduction. - Chapter 2. The discrete weak KAM setting -- Chapter 3. Characterizations of the Aubry sets -- Chapter 4. Mather measures, discounted semigroups -- Chapter 5. A family of examples -- Chapter 6. Twist maps.

The aim of this book is to present a self-contained account of discrete weak KAM theory. Putting aside its intrinsic elegance, this theory also provides a toy model for classical weak KAM theory, where many technical difficulties disappear, but where the central ideas and results persist. It therefore serves as a good introduction to (continuous) weak KAM theory. The first three chapters give a general exposition of the general abstract theory, concluding with a discussion of the relations between the results proved in the discrete setting and the analogous theorems of classical weak KAM theory. Several examples are studied and some key differences between the discrete and classical theory are highlighted. The final chapter is devoted to the historical problem of conservative twist maps of the annulus.

ISBN: 9783031968099

Standard No.: 10.1007/978-3-031-96809-9doiSubjects--Topical Terms:

3720536
Kolmogorov-Arnold-Moser theory.

LC Class. No.: Q172.5.C45

Dewey Class. No.: 003.857

Discrete weak KAM theory = an introduction through examples and its applications to twist maps /
LDR:02133nmm a2200337 a 4500 001 2414913
003 DE-He213
005 20250926130546.0
006 m d
007 cr nn 008maaau
008 260205s2025 sz s 0 eng d
020 $a 9783031968099 $q (electronic bk.)
020 $a 9783031968082 $q (paper)
024 7 $a 10.1007/978-3-031-96809-9 $2 doi
035 $a 978-3-031-96809-9
040 $a GP $c GP
041 0 $a eng
050 4 $a Q172.5.C45
072 7 $a PBU $2 bicssc
072 7 $a MAT042000 $2 bisacsh
072 7 $a PBU $2 thema
082 0 4 $a 003.857 $2 23
090 $a Q172.5.C45 $b Z39 2025
100 1 $a Zavidovique, Maxime. $3 3791936
245 1 0 $a Discrete weak KAM theory $h [electronic resource] : $b an introduction through examples and its applications to twist maps / $c by Maxime Zavidovique.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
300 $a xv, 188 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 1617-9692 ; $v v. 2377
505 0 $a Chapter 1. Introduction. - Chapter 2. The discrete weak KAM setting -- Chapter 3. Characterizations of the Aubry sets -- Chapter 4. Mather measures, discounted semigroups -- Chapter 5. A family of examples -- Chapter 6. Twist maps.
520 $a The aim of this book is to present a self-contained account of discrete weak KAM theory. Putting aside its intrinsic elegance, this theory also provides a toy model for classical weak KAM theory, where many technical difficulties disappear, but where the central ideas and results persist. It therefore serves as a good introduction to (continuous) weak KAM theory. The first three chapters give a general exposition of the general abstract theory, concluding with a discussion of the relations between the results proved in the discrete setting and the analogous theorems of classical weak KAM theory. Several examples are studied and some key differences between the discrete and classical theory are highlighted. The final chapter is devoted to the historical problem of conservative twist maps of the annulus.
650 0 $a Kolmogorov-Arnold-Moser theory. $3 3720536
650 1 4 $a Calculus of Variations and Optimization. $3 3538813
650 2 4 $a Dynamical Systems. $3 3538746
650 2 4 $a Differential Equations. $3 907890
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Lecture notes in mathematics ; $v v. 2377. $3 3791937
856 4 0 $u https://doi.org/10.1007/978-3-031-96809-9
950 $a Mathematics and Statistics (SpringerNature-11649)