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2014 The Solution of SO(3) through a Single Parameter ODE
Chein-Shan Liu
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/671921

Abstract

In many applications we need to solve an orthogonal transformation tensor QSO(3) from a tensorial equation Q˙=WQ under a given spin history W. In this paper, we address some interesting issues about this equation. A general solution of Q is obtained by transforming the governing equation into a new one in the space of P3. Then, we develop a novel method to solve Q in terms of a single parameter, whose governing equation is a single nonlinear ordinary differential equation (ODE).

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Chein-Shan Liu. "The Solution of SO(3) through a Single Parameter ODE." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/671921

Information

Published: 2014
First available in Project Euclid: 2 March 2015

MathSciNet: MR3206890
Digital Object Identifier: 10.1155/2014/671921

Rights: Copyright © 2014 Hindawi

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