03258nam 22006735 450 991063989250332120251009075106.0981-19-7435-710.1007/978-981-19-7435-9(MiAaPQ)EBC7165751(Au-PeEL)EBL7165751(CKB)25913867700041(PPN)267817126(DE-He213)978-981-19-7435-9(OCoLC)1362528140(EXLCZ)992591386770004120221219d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierGeometric Mechanics and Its Applications /by Weipeng Hu, Chuan Xiao, Zichen Deng1st ed. 2023.Singapore :Springer Nature Singapore :Imprint: Springer,2023.1 online resource (540 pages)Engineering SeriesPrint version: Hu, Weipeng Geometric Mechanics and Its Applications Singapore : Springer,c2023 9789811974342 Includes bibliographical references.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. .Engineering SeriesMechanics, AppliedPhysicsAstronomyDynamicsNonlinear theoriesEngineering MechanicsPhysics and AstronomyApplied Dynamical SystemsMechanics, Applied.Physics.Astronomy.Dynamics.Nonlinear theories.Engineering Mechanics.Physics and Astronomy.Applied Dynamical Systems.516.36Hu Weipeng1274938Xiao ChuanDeng ZichenMiAaPQMiAaPQMiAaPQBOOK9910639892503321Geometric Mechanics and Its Applications3003932UNINA