Perturbation Theory of Tori Without Complete Fourier Expansion |
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| Authors: | F Varadi |
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| Institution: | (1) Institute of Geophysics and Planetary Physics, University of California, Los Angeles, CA, 90095-1567 |
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| Abstract: | Perturbation theory of tori involves solving a first order partial differential equation, the so‐called homological equation.
The usual complete Fourier expansions employed in its solution can be replaced by partial ones. The alternative solution so
obtained is expressed in terms of integrals and without any explicit reference to trigonometric functions. Application to
second order averaging is also discussed.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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| Keywords: | perturbation theory averaging normal forms Lie series |
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