caa a22 4500 397558805 CHVBK 20180308164811.0 cr unu---uuuuu 161202e199609 xx s 000 0 eng 10.1093/imamci/13.3.279 doi (NATIONALLICENCE)oxford-10.1093/imamci/13.3.279 Clifford algebras, dynamical systems, and periodic orbits [Elektronische Daten] [D. McCaffrey, S. P. Banks, A. Moser] Certain differential systems can be lifted to algebras (of matrices), which greatly simplifies the use of global linearization for nonlinear dynamical systems. Here we shall use Clifford algebras to obtain an interesting collection which exhibit a wide variety of behaviour. In particular we shall use global linearizat1on to show that Lyapunov stability theory for linear systems can be directly extended to this situation and that periodic orbits can be explicitly calculated. © Oxford University Press 1996 McCaffrey D. Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD aut Banks S. P. Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD aut Moser A. Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD aut IMA Journal of Mathematical Control and Information Oxford University Press 13/3(1996-09), 279-298 0265-0754 13:3<279 1996 13 imamci https://doi.org/10.1093/imamci/13.3.279 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/imamci/13.3.279 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- McCaffrey D. Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD aut NATIONALLICENCE 700 1- Banks S. P. Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD aut NATIONALLICENCE 700 1- Moser A. Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD aut NATIONALLICENCE 773 0- IMA Journal of Mathematical Control and Information Oxford University Press 13/3(1996-09), 279-298 0265-0754 13:3<279 1996 13 imamci Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford