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On averaged and normal form equations

โœ Scribed by P. R. Sethna

Publisher
Springer Netherlands
Year
1995
Tongue
English
Weight
469 KB
Volume
7
Category
Article
ISSN
0924-090X

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โœฆ Synopsis

The method of averaging has long been an important method for the analysis of nonlinear systems. One method using normal forms has more recently become a tool in applied mathematics. Both methods convert systems of ordinary differential equations to simpler equations by using a sequence of change of variables. This study can be interpreted as a local analysis in that it treats equations that are nonlinear perturbations of linear equations. We show that the two methods are essentially equivalent.

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