A nilpotent algebra approach to Lagrangian mechanics and constrained motion

DOI10.1007/s11071-016-3290-3zbMath1375.70067OpenAlexW2562156425MaRDI QIDQ1681739

Aaron D. Schutte

Publication date: 24 November 2017

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-016-3290-3

zbMATH Keywords

Lyapunov exponentsautomatic differentiationLagrangian mechanicsnilpotent algebraconstrained motion

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Constrained dynamics, Dirac's theory of constraints (70H45) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Uses Software

• ADOL-C
• MPI

Cites Work

• On general nonlinear constrained mechanical systems
• Extensions of the first and second complex-step derivative approximations
• Automatic differentiation: techniques and applications
• Computation of Lyapunov characteristic exponents for continuous dynamical systems
• Automatic Differentiation Through the Use of Hyper-Dual Numbers for Second Derivatives
• Evaluating Derivatives
• Algorithm 755: ADOL-C
• A unified approach to rigid body rotational dynamics and control
• Numerical Differentiation of Analytic Functions
• Equations of motion for general constrained systems in Lagrangian mechanics

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