Article ID Journal Published Year Pages File Type
1854480 Annals of Physics 2016 31 Pages PDF
Abstract

A method, called beatification, is presented for rapidly extracting weakly nonlinear Hamiltonian systems that describe the dynamics near equilibria of systems possessing Hamiltonian form in terms of noncanonical Poisson brackets. The procedure applies to systems like fluids and plasmas in terms of Eulerian variables that have such noncanonical Poisson brackets, i.e., brackets with nonstandard and possibly degenerate form. A collection of examples of both finite and infinite dimensions is presented.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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