Symmetric and asymmetric evaluation of the Tokamap in comparison with direct symplectic integration

Abstract

Comparing the Poincaré plots of the Tokamap and the underlying Hamiltonian system reveals large differences. This stems from the particular choice of evaluation of the singular perturbations present in the system (a series of δ functions). A symmetric evaluation approach is proposed and shown to yield results that almost perfectly match the Hamiltonian system. © 2005 The American Physical Society.

Publication DOI: https://doi.org/10.1103/PhysRevE.71.026411
Divisions: College of Engineering & Physical Sciences > Adaptive communications networks research group
Additional Information: © 2005 The American Physical Society. Symmetric and asymmetric evaluation of the Tokamap in comparison with direct symplectic integration Marc Eberhard Phys. Rev. E 71, 026411 – Published 24 February 2005
Uncontrolled Keywords: Poincaré plots,Tokamap,Hamiltonian system,singular perturbations,General Physics and Astronomy,Condensed Matter Physics,Statistical and Nonlinear Physics,Mathematical Physics
Publication ISSN: 1550-2376
Last Modified: 30 Sep 2024 09:42
Date Deposited: 01 Dec 2009 13:12
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
http://prola.ap ... /v71/i2/e026411 (Publisher URL)
PURE Output Type: Article
Published Date: 2005-02-01
Authors: Eberhard, Marc A. (ORCID Profile 0000-0002-9818-9651)

Download

[img]

Version: Published Version

| Preview

Export / Share Citation


Statistics

Additional statistics for this record