PPPL-3693 is available in <a href="PPPL-3693.pdf">pdf</a> format (345 KB).

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<b>Renormalization Group Reduction of Non Integrable Hamiltonian Systems</b>
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<b>Author:</b> Stephan I. Tzenov
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<b>Date of PPPL Report:</b>  May 2002
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<b>Published in:</b> New Journal of Physics <b>4</b> (February 2002) article number 6.</p>


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Based on Renormalization Group method, a reduction of non integratable multi-dimensional Hamiltonian systems has been performed. The evolution equations for the slowly varying part of the angle-averaged phase space density and for the amplitudes of the angular modes have been derived. It has been shown that these equations are precisely the Renormalization Group equations.  As an application of the approach developed, the modulational diffusion in one-and-a-half degrees of freedom dynamical system has been studied in detail.



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