Clifford Algebras, Nonlinear Dynamical Systems and Isochronous Tori
Banks, S.P. and McCaffrey, D.
(1997)
Clifford Algebras, Nonlinear Dynamical Systems and Isochronous Tori.
Research Report.
ACSE Research Report 695
.
Department of Automatic Control and Systems Engineering
Abstract
Nonlinear dynamical systems which have a lifting to Clifford algebras are studied. The resulting Clifford systems are shown to be solvable easily by Lie series methods. The main application is to generalise to higher dimensional systems recent results in isochronous systems.
Metadata
Item Type:
Monograph
Authors/Creators:
Banks, S.P.
McCaffrey, 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:
Nonlinear dynamical systems, Clifford algebras, Isochronic tori
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