Lie Algebras, Structure of Nonlinear Systems and Chaotic Motion
- 1 July 1998
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Bifurcation and Chaos
- Vol. 8 (7), 1437-1462
- https://doi.org/10.1142/s021812749800111x
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, based on the structure theory of Lie algebras.Keywords
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