Clifford Algebras, Dynamical Systems and Periodic Orbits
Banks, S.P. and MacCaffrey, D.
(1995)
Clifford Algebras, Dynamical Systems and Periodic Orbits.
Research Report.
ACSE Research Report 588
.
Department of Automatic Control and Systems Engineering
Abstract
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 of systems which exhibit a wide variety of behaviour. In particular, we shall use global linearization to show that Lyapunov stability for linear systems can be directly extended to this situation and that periodic orbits can be explicitly calculated.
Metadata
Item Type:
Monograph
Authors/Creators:
Banks, S.P.
MacCaffrey, D.
Copyright, Publisher and Additional Information:
The Department of Automatic Control and Systems Engineering research reports offer a forum for the research output of the academic staff and research students of the Department at the University of Sheffield. Papers are reviewed for quality and presentation by a departmental editor. However, the contents and opinions expressed remain the responsibility of the authors. Some papers in the series may have been subsequently published elsewhere and you are advised to cite the later published version in these instances.
Keywords:
Global Stabilizability; Nonlinear Systems; Switching Manifolds
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