Renormalization Group Reduction of Non Integrable Hamiltonian Systems | Zendy

Stephan I. Tzenov | Zendy

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Renormalization Group Reduction of Non Integrable Hamiltonian Systems

Author(s) -

Stephan I. Tzenov

Publication year - 2002

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/798173

Subject(s) - integrable system , renormalization group , hamiltonian (control theory) , hamiltonian system , renormalization , phase space , amplitude , physics , mathematical physics , functional renormalization group , reduction (mathematics) , mathematics , classical mechanics , quantum mechanics , geometry , mathematical optimization

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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