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Equivalence of the generalized Lie-Hori method and the method of averagingIn this investigation, a comparison is made of two methods for developing perturbation theories for non-canonical dynamical systems. The methods compared are the generalized Lie-Hori method and the method of averaging. In the comparison presented here, the equivalence of the methods up to the second order in the small parameter is shown. However, the approach used can be extended to demonstrate the equivalence for higher orders. To illustrate the equivalence both Duffing's equation and the van der Pol equation are solved using each method.
Document ID
19820034232
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Ahmed, A.
(Texas Univ. Austin, TX, United States)
Tapley, B. D.
(Texas, University Austin, TX, United States)
Date Acquired
August 10, 2013
Publication Date
January 1, 1982
Subject Category
Statistics And Probability
Report/Patent Number
AIAA PAPER 82-0071
Meeting Information
Meeting: Aerospace Sciences Meeting
Location: Orlando, FL
Start Date: January 11, 1982
End Date: January 14, 1982
Sponsors: American Institute of Aeronautics and Astronautics
Accession Number
82A17767
Funding Number(s)
CONTRACT_GRANT: JPL-954703
Distribution Limits
Public
Copyright
Other

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