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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A method for Hamiltonian truncation: a four-wave example

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Viscondi, Thiago F. [1] ; Caldas, Ibere L. [1] ; Morrison, Philip J. [2, 3]
Total Authors: 3
[1] Univ Sao Paulo, Inst Phys, Sao Paulo, SP - Brazil
[2] Univ Texas Austin, Dept Phys, Austin, TX 78712 - USA
[3] Univ Texas Austin, Inst Fus Studies, Austin, TX 78712 - USA
Total Affiliations: 3
Document type: Journal article
Source: Journal of Physics A-Mathematical and Theoretical; v. 49, n. 16 APR 22 2016.
Web of Science Citations: 5

A method for extracting finite-dimensional Hamiltonian systems from a class of 2 + 1 Hamiltonian mean field theories is presented. These theories possess noncanonical Poisson brackets, which normally resist Hamiltonian truncation, but a process of beatification by coordinate transformation near a reference state is described in order to perturbatively overcome this difficulty. Two examples of four-wave truncation of Euler's equation for scalar vortex dynamics are given and compared: one a direct non-Hamiltonian truncation of the equations of motion, the other obtained by beatifying the Poisson bracket and then truncating. (AU)

FAPESP's process: 12/20452-0 - Development of a Hamiltonian Formulation for the Anomalous Particle Transport in Confined Plasmas
Grantee:Thiago de Freitas Viscondi
Support Opportunities: Scholarships in Brazil - Post-Doctorate
FAPESP's process: 11/19296-1 - Nonlinear dynamics
Grantee:Iberê Luiz Caldas
Support Opportunities: Research Projects - Thematic Grants