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

Dynamics through first-order differe...

Llibre, Jaume.

FindBook

Google Book

Amazon

博客來

Dynamics through first-order differential equations in the configuration space

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Dynamics through first-order differential equations in the configuration space/ by Jaume Llibre, Rafael Ramirez, Valentin Ramírez.
作者:	Llibre, Jaume.
其他作者:	Ramirez, Rafael.
出版者:	Cham :Springer Nature Switzerland : : 2023.,
面頁冊數:	xxii, 345 p. :ill., digital ;24 cm.
內容註:	Chapter. 1. Dynamics via the first order ordinary differential equations -- Chapter. 2. Constrained Cartesian vector fields -- Chapter. 3. Three dimensional constrained Cartesian vector fields -- Chapter. 4. Cartesian-Synge-Cinsov vector field -- Chapter. 5. Generalized Cartesian-Nambu vector fields -- Chapter. 6. Integrability of generalized Cartesian-Nambu vector fields.
Contained By:	Springer Nature eBook
標題:	Dynamics - Mathematics. -
電子資源:	https://doi.org/10.1007/978-3-031-27095-6
ISBN:	9783031270956

Dynamics through first-order differential equations in the configuration space
Llibre, Jaume.

Dynamics through first-order differential equations in the configuration space[electronic resource] /by Jaume Llibre, Rafael Ramirez, Valentin Ramírez. - Cham :Springer Nature Switzerland :2023. - xxii, 345 p. :ill., digital ;24 cm.

Chapter. 1. Dynamics via the first order ordinary differential equations -- Chapter. 2. Constrained Cartesian vector fields -- Chapter. 3. Three dimensional constrained Cartesian vector fields -- Chapter. 4. Cartesian-Synge-Cinsov vector field -- Chapter. 5. Generalized Cartesian-Nambu vector fields -- Chapter. 6. Integrability of generalized Cartesian-Nambu vector fields.

The goal of this monograph is to answer the question, is it possible to solve the dynamics problem inside the configuration space instead of the phase space? By introducing a proper class of vector field - the Cartesian vector field - given in a Riemann space, the authors explore the connections between the first order ordinary differential equations (ODEs) associated to the Cartesian vector field in the configuration space of a given mechanical system and its dynamics. The result is a new perspective for studying the dynamics of mechanical systems, which allows the authors to present new cases of integrability for the Suslov and Veselova problem; establish the relation between the Cartesian vector field and the integrability of the geodesic flow in a special class of homogeneous surfaces; discuss the importance of the Nambu bracket in the study of first order ODEs; and offer a solution of the inverse problem in celestial mechanics.

ISBN: 9783031270956

Standard No.: 10.1007/978-3-031-27095-6doiSubjects--Topical Terms:

612742
Dynamics
--Mathematics.

LC Class. No.: TA352 / .L55 2023

Dewey Class. No.: 515.39

Dynamics through first-order differential equations in the configuration space
LDR:02361nmm a2200325 a 4500 001 2317851
003 DE-He213
005 20230425103756.0
006 m d
007 cr nn 008maaau
008 230902s2023 sz s 0 eng d
020 $a 9783031270956 $q (electronic bk.)
020 $a 9783031270949 $q (paper)
024 7 $a 10.1007/978-3-031-27095-6 $2 doi
035 $a 978-3-031-27095-6
040 $a GP $c GP
041 0 $a eng
050 4 $a TA352 $b .L55 2023
072 7 $a PBKJ $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.39 $2 23
090 $a TA352 $b .L791 2023
100 1 $a Llibre, Jaume. $3 2056104
245 1 0 $a Dynamics through first-order differential equations in the configuration space $h [electronic resource] / $c by Jaume Llibre, Rafael Ramirez, Valentin Ramírez.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2023.
300 $a xxii, 345 p. : $b ill., digital ; $c 24 cm.
505 0 $a Chapter. 1. Dynamics via the first order ordinary differential equations -- Chapter. 2. Constrained Cartesian vector fields -- Chapter. 3. Three dimensional constrained Cartesian vector fields -- Chapter. 4. Cartesian-Synge-Cinsov vector field -- Chapter. 5. Generalized Cartesian-Nambu vector fields -- Chapter. 6. Integrability of generalized Cartesian-Nambu vector fields.
520 $a The goal of this monograph is to answer the question, is it possible to solve the dynamics problem inside the configuration space instead of the phase space? By introducing a proper class of vector field - the Cartesian vector field - given in a Riemann space, the authors explore the connections between the first order ordinary differential equations (ODEs) associated to the Cartesian vector field in the configuration space of a given mechanical system and its dynamics. The result is a new perspective for studying the dynamics of mechanical systems, which allows the authors to present new cases of integrability for the Suslov and Veselova problem; establish the relation between the Cartesian vector field and the integrability of the geodesic flow in a special class of homogeneous surfaces; discuss the importance of the Nambu bracket in the study of first order ODEs; and offer a solution of the inverse problem in celestial mechanics.
650 0 $a Dynamics $x Mathematics. $3 612742
650 0 $a Configuration space. $3 713541
650 0 $a Differential equations. $3 517952
650 1 4 $a Differential Equations. $3 907890
650 2 4 $a Dynamical Systems. $3 3538746
650 2 4 $a Differential Geometry. $3 891003
650 2 4 $a Mathematical Physics. $3 1542352
700 1 $a Ramirez, Rafael. $3 657663
700 1 $a Ramirez, Valentin. $3 3632387
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-27095-6
950 $a Mathematics and Statistics (SpringerNature-11649)