Weakly nonlinear dynamics in noncanonical Hamiltonian systems with applications to fluids and plasmas

P J Morrison, Jacques Vanneste

Research output: Contribution to journalArticlepeer-review

Abstract

A method, called beatification, is presented for rapidly extracting weakly nonlinear Hamiltonian systems that describe the dynamics near equilibria for 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.
Original languageEnglish
Pages (from-to)117-147
Number of pages30
JournalAnnals of physics
Volume368
Early online date11 Feb 2016
DOIs
Publication statusPublished - May 2016

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