A note on reparametrizations of the Euler equations

DOI10.1007/s12346-016-0200-5zbMath1387.70026OpenAlexW2345972682MaRDI QIDQ1697731

Francisco Javier Molero, Sebastián Ferrer, Francisco Crespo

Publication date: 20 February 2018

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-016-0200-5

zbMATH Keywords

linear differential equationsEuler equationsfree rigid bodyreparametrizations

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Simulation of dynamical systems (37M05)

Related Items

Sundman transformation and alternative tangent structures

Uses Software

• FRB

Cites Work

• The completely integrable differential systems are essentially linear differential systems
• Fast computation of complete elliptic integrals and Jacobian elliptic functions
• On the extended Euler system and the Jacobi and Weierstrass elliptic functions
• Numerical implementation of the exact dynamics of free rigid bodies
• Elliptic functions and applications
• 2-D Duffing oscillator: elliptic functions from a dynamical systems point of view
• Andoyer's variables and phases in the free rigid body
• Algorithm 903
• Efficient time-symmetric simulation of torqued rigid bodies using Jacobi elliptic functions
• Unnamed Item
• Unnamed Item
• Unnamed Item