# Reduction of Dynamics with Lie Group Analysis

@article{Iwasa2012ReductionOD, title={Reduction of Dynamics with Lie Group Analysis}, author={Masatomo Iwasa}, journal={Advances in Mathematical Physics}, year={2012}, volume={2012}, pages={1-17} }

This paper is mainly a review concerning singular perturbation methods
by means of Lie group analysis which has been presented by the author. We make use of
a particular type of approximate Lie symmetries in those methods in order to construct
reduced systems which describe the long-time behavior of the original dynamical
system. Those methods can be used in analyzing not only ordinary differential
equations but also difference equations. Although this method has been mainly used
in order… Expand

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