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

作者：Morrison P J; Vanneste J

来源：Annals of Physics, 2016, 368: 117-147.

DOI：10.1016/j.aop.2016.02.003

• Fluids
• Plasmas
• Hamiltonian systems
• Poisson brackets

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.

• 出版日期2016-5