LEADER 03258nam  22006735  450 
001 9910639892503321
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010   $a981-19-7435-7
024 7 $a10.1007/978-981-19-7435-9
035   $a(MiAaPQ)EBC7165751
035   $a(Au-PeEL)EBL7165751
035   $a(CKB)25913867700041
035   $a(PPN)267817126
035   $a(DE-He213)978-981-19-7435-9
035   $a(OCoLC)1362528140
035   $a(EXLCZ)9925913867700041
100   $a20221219d2023      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aGeometric Mechanics and Its Applications /$fby Weipeng Hu, Chuan Xiao, Zichen Deng
205   $a1st ed. 2023.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2023.
215   $a1 online resource (540 pages)
225 1 $aEngineering Series
311 08$aPrint version: Hu, Weipeng Geometric Mechanics and Its Applications Singapore : Springer,c2023 9789811974342 
320   $aIncludes bibliographical references.
327   $aIntroduction -- 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.
330   $aTo make the content of the book more systematic, this book mainly briefs some related basic knowledge reported by other monographs and papers about geometric mechanics. The main content of this book is based on the last 20 years? jobs of the authors. All physical processes can be formulated as the Hamiltonian form with the energy conservation law as well as the symplectic structure if all dissipative effects are ignored. On the one hand, the important status of the Hamiltonian mechanics is emphasized. On the other hand, a higher requirement is proposed for the numerical analysis on the Hamiltonian system, namely the results of the numerical analysis on the Hamiltonian system should reproduce the geometric properties of which, including the first integral, the symplectic structure as well as the energy conservation law. .
410  0$aEngineering Series
606   $aMechanics, Applied
606   $aPhysics
606   $aAstronomy
606   $aDynamics
606   $aNonlinear theories
606   $aEngineering Mechanics
606   $aPhysics and Astronomy
606   $aApplied Dynamical Systems
615  0$aMechanics, Applied.
615  0$aPhysics.
615  0$aAstronomy.
615  0$aDynamics.
615  0$aNonlinear theories.
615 14$aEngineering Mechanics.
615 24$aPhysics and Astronomy.
615 24$aApplied Dynamical Systems.
676   $a516.36
700   $aHu$b Weipeng$01274938
702   $aXiao$b Chuan
702   $aDeng$b Zichen
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910639892503321
996   $aGeometric Mechanics and Its Applications$93003932
997   $aUNINA