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On normal forms in Hamiltonian dynamics, a new approach to some convergence questions

Published online by Cambridge University Press:  19 September 2008

David Delatte
David Delatte
Affiliation:
Department of Mathematics, University of North Texas, Denton, TX 76203-0116, USA
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Abstract

We consider the convergence of solutions to various conjugacy problems occurring in Hamiltonian dynamics. These give rise to nonlinear functional equations which we solve by using a norm well adapted to the problem. The approach provides an alternative to the classical majorization method.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 1 , February 1995 , pp. 49 - 66
Copyright
Copyright © Cambridge University Press 1995

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