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Geometric mechanics and its applications

Hu, Weipeng.

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Geometric mechanics and its applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Geometric mechanics and its applications/ by Weipeng Hu, Chuan Xiao, Zichen Deng.
Author:	Hu, Weipeng.
other author:	Xiao, Chuan.
Published:	Singapore :Springer Nature Singapore : : 2023.,
Description:	xiv, 531 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Introduction -- Symplectic Method for Finite-Dimensional System -- Multi-Symplectic Method for Infinite-Dimensional Hamiltonian System -- Dynamic Symmetry Breaking and Generalized Multi-Symplectic Method for Non-Conservative System -- Structure-Preserving Analysis on Impact Dynamic Systems -- Structure-Preserving Analysis on Dynamics of Micro/Nano Systems -- Structure-Preserving Analysis on Astrodynamics Systems.
Contained By:	Springer Nature eBook
Subject:	Mechanics, Analytic. -
Online resource:	https://doi.org/10.1007/978-981-19-7435-9
ISBN:	9789811974359

Geometric mechanics and its applications
Hu, Weipeng.

Geometric mechanics and its applications[electronic resource] /by Weipeng Hu, Chuan Xiao, Zichen Deng. - Singapore :Springer Nature Singapore :2023. - xiv, 531 p. :ill. (some col.), digital ;24 cm.

Introduction -- Symplectic Method for Finite-Dimensional System -- Multi-Symplectic Method for Infinite-Dimensional Hamiltonian System -- Dynamic Symmetry Breaking and Generalized Multi-Symplectic Method for Non-Conservative System -- Structure-Preserving Analysis on Impact Dynamic Systems -- Structure-Preserving Analysis on Dynamics of Micro/Nano Systems -- Structure-Preserving Analysis on Astrodynamics Systems.

To make the content of the book more systematic, this book mainly briefs some related basic knowledge reported by other monographs and papers about geometric mechanics. The main content of this book is based on the last 20 years' jobs of the authors. All physical processes can be formulated as the Hamiltonian form with the energy conservation law as well as the symplectic structure if all dissipative effects are ignored. On the one hand, the important status of the Hamiltonian mechanics is emphasized. On the other hand, a higher requirement is proposed for the numerical analysis on the Hamiltonian system, namely the results of the numerical analysis on the Hamiltonian system should reproduce the geometric properties of which, including the first integral, the symplectic structure as well as the energy conservation law.

ISBN: 9789811974359

Standard No.: 10.1007/978-981-19-7435-9doiSubjects--Topical Terms:

516850
Mechanics, Analytic.

LC Class. No.: QA805 / .H8 2023

Dewey Class. No.: 531.01515

Geometric mechanics and its applications
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245 1 0 $a Geometric mechanics and its applications $h [electronic resource] / $c by Weipeng Hu, Chuan Xiao, Zichen Deng.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2023.
300 $a xiv, 531 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a Introduction -- Symplectic Method for Finite-Dimensional System -- Multi-Symplectic Method for Infinite-Dimensional Hamiltonian System -- Dynamic Symmetry Breaking and Generalized Multi-Symplectic Method for Non-Conservative System -- Structure-Preserving Analysis on Impact Dynamic Systems -- Structure-Preserving Analysis on Dynamics of Micro/Nano Systems -- Structure-Preserving Analysis on Astrodynamics Systems.
520 $a To make the content of the book more systematic, this book mainly briefs some related basic knowledge reported by other monographs and papers about geometric mechanics. The main content of this book is based on the last 20 years' jobs of the authors. All physical processes can be formulated as the Hamiltonian form with the energy conservation law as well as the symplectic structure if all dissipative effects are ignored. On the one hand, the important status of the Hamiltonian mechanics is emphasized. On the other hand, a higher requirement is proposed for the numerical analysis on the Hamiltonian system, namely the results of the numerical analysis on the Hamiltonian system should reproduce the geometric properties of which, including the first integral, the symplectic structure as well as the energy conservation law.
650 0 $a Mechanics, Analytic. $3 516850
650 0 $a Geometry, Differential. $3 523835
650 0 $a Hamiltonian systems. $3 629810
650 1 4 $a Engineering Mechanics. $3 3538834
650 2 4 $a Physics and Astronomy. $3 3538869
650 2 4 $a Applied Dynamical Systems. $3 3538870
700 1 $a Xiao, Chuan. $3 3626488
700 1 $a Deng, Zichen. $3 3626489
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-981-19-7435-9
950 $a Engineering (SpringerNature-11647)