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
Authors/Creators:
Banks, S.P.
McCaffrey, D.
Copyright, Publisher and Additional Information:
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