flutter 发表于 2025-3-25 07:08:44

https://doi.org/10.1007/978-3-663-05229-6The configuration manifold is a product of copies of the special orthogonal group . embedded in .. A Lagrangian function . is introduced and variational methods are used to derive Euler–Lagrange equations and Hamilton’s equations. Several rotating rigid body systems are studied to illustrate the developments.

渐变 发表于 2025-3-25 08:14:47

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勤劳 发表于 2025-3-25 15:25:59

Mathematical Background,A summary of the most important mathematical concepts used in the subsequent chapters is given. Differential geometric concepts of embedded manifolds, tangent vectors, and cotangent vectors are emphasized. Vector fields defined on embedded manifolds are introduced to characterize dynamic flows. The concepts are illustrated by examples.

Panacea 发表于 2025-3-25 17:37:41

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obsession 发表于 2025-3-26 00:02:15

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indubitable 发表于 2025-3-26 02:58:11

Lagrangian and Hamiltonian Dynamics on ,,The configuration manifold is a product of two-spheres embedded in .. A Lagrangian function . is introduced and variational methods are used to derive Euler–Lagrange equations and Hamilton’s equations. Several mechanical systems are studied to illustrate the developments.

investigate 发表于 2025-3-26 04:39:42

Lagrangian and Hamiltonian Dynamics on ,,The configuration manifold is a product of copies of the special orthogonal group . embedded in .. A Lagrangian function . is introduced and variational methods are used to derive Euler–Lagrange equations and Hamilton’s equations. Several rotating rigid body systems are studied to illustrate the developments.

adumbrate 发表于 2025-3-26 09:46:49

Lagrangian and Hamiltonian Dynamics on ,,The configuration manifold is a product of copies of the special Euclidean group . embedded in .. A Lagrangian function . is introduced and variational methods are used to derive Euler–Lagrange equations and Hamilton’s equations. Several translating and rotating rigid body systems are studied to illustrate the developments.

notice 发表于 2025-3-26 15:57:55

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sulcus 发表于 2025-3-26 17:15:39

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查看完整版本: Titlebook: Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds; A Geometric Approach Taeyoung Lee,Melvin Leok,N. Harris McClamroch