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A Unified Approach to Linear and Nonlinear Normal Forms for Hamiltonian Systems

โœ Scribed by R.C. CHURCHILL; M. KUMMER

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
721 KB
Volume
27
Category
Article
ISSN
0747-7171

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โœฆ Synopsis

We prove that in all but one case the normal form of a real or complex Hamiltonian matrix which is irreducible and appropriately normalized can be computed by Lie series methods in formally the same manner as one computes the normal form of a nonlinear Hamiltonian function. Calculations are emphasized; the methods are illustrated with detailed examples, and for the sake of completeness the exceptional case is also reviewed and illustrated. Alternate methods are also discussed, along with detailed examples.

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