Lie Algebras, Structure of Nonlinear Systems and Chaotic Motion
Banks, S.P. and McCaffrey, D.
(1997)
Lie Algebras, Structure of Nonlinear Systems and Chaotic Motion.
Research Report.
ACSE Research Report 675
.
Department of Automatic Control and Systems Engineering
Abstract
The structure theory of Lie algebras is used to classify nonlinear systems according to a Levi decomposition and the solvable and semisimple parts of a certain Lie algebra associated with the system. An approximation theory is developed and a new class of chaotic systems is introduced.
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.
CORE (COnnecting REpositories)
CORE (COnnecting REpositories)