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Understanding Critical Behaviour through Visualization: A Walk around the Pitchfork

Date

Authors

Ball, Rowena

Publisher

Elsevier

Abstract

The visualization of computed three-dimensional bifurcation surfaces of critical points, or limit-point shells was done for bifurcation problems that contained a pitchfork as an organizing centre. Comparison of notionally equivalent problems depicted the

Keywords

Keywords: Computation theory; Magnetic hysteresis; Mathematical models; Matrix algebra; Plasma confinement; Visualization; Singularity theory; Bifurcation (mathematics) Bifurcation theory; Limit-point shell; Pitchfork; Singularity theory

URI

http://hdl.handle.net/1885/64275

Collections

ANU Research Publications

Source

Computer Physics Communications

Type

Journal article

DOI

10.1016/S0010-4655(01)00322-8

Restricted until

2037-12-31

Downloads

File

Description

01_Ball_Understanding_Critical_2001.pdf (220.03 KB)