Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds A Geometric Approach to Modeling and Analysis /

This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on th...

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Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Lee, Taeyoung (VerfasserIn)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Cham : Springer International Publishing, 2018.
Ausgabe:1st ed. 2018.
Schriftenreihe:Interaction of Mechanics and Mathematics,
Schlagworte:
Dynamics.
Ergodic theory.
Vibration.
Dynamical systems.
System theory.
Computer mathematics.
ISBN:9783319569536
ISSN:1860-6245
Online-Zugang: Volltext
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Inhaltsangabe:
  • Mathematical Background
  • Kinematics
  • Classical Lagrangian and Hamiltonian Dynamics
  • Langrangian and Hamiltonian Dynamics on (S1)n
  • Lagrangian and Hamiltonian Dynamics on (S2)n
  • Lagrangian and Hamiltonian Dynamics on SO(3)
  • Lagrangian and Hamiltonian Dynamics on SE(3)
  • Lagrangian and Hamiltonian Dynamics on Manifolds
  • Rigid and Mult-body Systems
  • Deformable Multi-body Systems
  • Fundamental Lemmas of the Calculus of Variations
  • Linearization as an Approximation to Lagrangian Dynamics on a Manifold.

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