Reduction of Dynamics with Lie Group Analysis

  title={Reduction of Dynamics with Lie Group Analysis},
  author={Masatomo Iwasa},
  journal={Advances in Mathematical Physics},
  • M. Iwasa
  • Published 2012
  • Mathematics
  • Advances in Mathematical Physics
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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